Skip to main content

Statistical Decision Techniques

  • Chapter

Part of the book series: Springer Series in Statistics ((SSS))

Abstract

The beginner should on first reading confine himself to sections indicated by an arrow ▸, paying particular attention to the examples, disregarding for the time being whatever he finds difficult to grasp, the remarks, the fine print, and the bibliography.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Ackoff, R. L. Scientific Method: Optimizing Applied Research Decisions. (Wiley; pp. 462) New York 1962

    Google Scholar 

  • Ageno, M., and Frontai, C.: Analysis of frequency distribution curves in overlapping Gaussians. Nature 198(1963), 1294–1295

    Google Scholar 

  • Aitchison, J., and Brown, J. A. C: The Lognormal Distribution. Cambridge 1957 [see Applied Statistics 29(1980), 58–68; Biometrics 36 (1980), 707ö719; and J. Amer. Statist. Assoc. 75 (1980), 399–404]

    Google Scholar 

  • Alluisi, E. A.: Tables of binary logarithms, uncertainty functions, and binary log functions. Percept. Motor Skills 20(1965), 1005–1012

    Google Scholar 

  • Altham, P. M. E.: Two generalizations of the binomial distribution. Applied Statistics 27(1978), 162–167

    MATH  MathSciNet  Google Scholar 

  • Anderson, O.: Probleme der statistischen Methodenlehre in den Sozialwissenschaften, 4th edition. (Physica-Vlg., 358 pages) Würzburg 1963, Chapter IV

    Google Scholar 

  • Angers, C.: A graphical method to evaluate sample sizes for the multinomial distribution. Technometrics 16(1974), 469–471

    MATH  Google Scholar 

  • Baade, F.: Dynamische Weltwirtschaft. (List, 503 pages) München 1969 (see also: Weltweiter Wohlstand. Stalling, 224 pages, Oldenburg and Hamburg 1970) Bachi, R.: Graphical Rational Patterns. A New Approach to Graphical Presentation of Statistics. (Israel Universities Press; pp. 243) Jerusalem 1968

    Google Scholar 

  • Barnard, G. A.: The Bayesian controversy in Statistical inference. J. Institute Actuaries 93(1967), 229–269[see also J. Amer. Statist. Assoc. 64 (1969), 51–57]

    Google Scholar 

  • Barnett, V.: Comparative Statistical Inference. (Wiley; pp. 287) London 1973

    Google Scholar 

  • Bartko, J. J.: (1) Notes approximating the negative binomial. Technometrics 8(1966), 345–350(2) Letter to the Editor. Technometrics 9 (1967), 347 + 348 (see also p. 498)

    Google Scholar 

  • Batschelet, E.: Introduction to Mathematics for Life Scientists. 2nd ed. (Springer; pp. 643) Berlin, Heidelberg, New York 1975

    Google Scholar 

  • Bernard, G.: Optimale Strategien unter Ungewißheit. Statistische Hefte 9(1968), 82–100

    Google Scholar 

  • Bertin, J.: Semiology Graphique. Les Diagrammes — Les Reseau — Les Cartes. (Gautier Villars, pp. 431) Paris 1967

    Google Scholar 

  • Bhattacharya, C. G.: A simple method of resolution of a distribution into Gaussian components. Biometrics 23(1967), 115–135[see also 25 (1969), 79–93 and 29 (1973), 781–790]

    Google Scholar 

  • Binder, F.: (1) Die log-normale Häufigkeitsverteilung. Radex-Rundschau (Radentheim, Kärnten) 1962, Heft 2, pp. 89–105. (2) Die einseitig und beiderseitig begrenzte lognormale Häufigkeitsverteilung. Radex-Rundschau (Radentheim, Kärnten) 1963, Heft 3, pp. 471–485

    Google Scholar 

  • Birnbaum, A.: Combining independent tests of significance. J. Amer. Statist. Assoc. 49 (1954), 559–574 [see also 66 (1971), 802–806]

    MATH  MathSciNet  Google Scholar 

  • Blind, A.: Das harmonische Mittel in der Statistik. Allgem. Statist. Arch. 36(1952), 231–236

    Google Scholar 

  • Bliss, C. I.: (1) Fitting the negative binomial distribution to biological data. Biometrics 9(1953), 176–196 and 199–200. (2) The analysis of insect counts as negative binomial distributions. With discussion. Proc. Tenth Internat. Congr. Entomology 1956, 2 (1958), 1015–1032

    MathSciNet  Google Scholar 

  • Blyth, C. R., and Hutchinson, D. W.: Table of Neyman-shortest unbiased confidence intervals for the binomial parameter. Biometrika 47(1960), 381–391

    MATH  MathSciNet  Google Scholar 

  • Boich, B. W.: More on unbiased estimation of the Standard deviation. The American Statistician 22 (June 1968), 27 (see also 25 [April 1971], 40, 41 and [Oct. 1971], 30–32)

    Google Scholar 

  • Botts, R. R.: Extreme value methods simplified. Agric. Econom. Research 9(1957), 88–95

    Google Scholar 

  • Box, G. E. P. and Tiao, G. C: Bayesian Inference in Statistical Analysis (Addison-Wesley) Reading, Mass. 1973

    Google Scholar 

  • Boyd, W. C: A nomogram for chi-square. J. Amer. Statist. Assoc. 60(1965), 344–346 (cf. 61 [1966] 1246)

    Google Scholar 

  • Bradley, J. V.: A common Situation conducive to bizarre distribution shapes. The American Statistician 31(1977), 147–150

    Google Scholar 

  • Bright, J. R. (Ed.): Technological Forecasting for Industry and Government, Methods and Applications. (Prentice-Hall Int., pp. 484) London 1969

    Google Scholar 

  • Bruckmann, G.: Schätzung von Wahlresultaten aus Teilergebnissen. (Physica-Vlg., 148 pages) Wien and Würzburg 1966 [see also P. Mertens (ed.): Prognoserechnung. (Physica-Vlg., 196 pages.) Würzburg and Wien 1972]

    Google Scholar 

  • Brugger, R. M.: A note on unbiased estimation of the Standard deviation. The American Statistician 23 (October 1969), 32 (see also 26 [Dec. 1972], 43)

    Google Scholar 

  • Bühlmann, H., Loeffel, H. and Nievergelt, E.: Einführung in die Theorie und Praxis der Entscheidung bei Unsicherheit. Heft 1 der Reihe: Lecture Notes in Operations Research and Mathematical Economics. Berlin-Heidelberg-New York 1967 (122 pages) (2nd edition 1969, 125 pages)

    Google Scholar 

  • Calot, G.: Signicatif ou non signicatif? Reflexions ä propos de la theorie et de la pratique des tests statistiques. Revue de Statistique Appliquee 15 (No. 1, 1967), 7–69 (see 16 [No. 3, 1968], 99–111 and Cox, D. R.: The role of significance tests. Scand. J. Statist. 4 [1977] 49–70)

    Google Scholar 

  • Campbell, S. K.: Flaws and Fallacies in Statistical Thinking. (Prentice-Hall; pp. 200) Englewood Cliffs, N.J. 1974 [see also I. J. Good, Technometrics 4(1962), 125–132 and D. J. Ingle, Perspect. Biol. Med. 15, 2 (Winter 1972), 254–281]

    Google Scholar 

  • Cetron, M. J.: Technological Forecasting: A Practical Approach. (Gordon and Breach, pp. 448) New York 1969

    Google Scholar 

  • Chernoff, H., and Moses, L. E.: Elementary Decision Theory. New York 1959

    Google Scholar 

  • Chissom, B. S.: Interpretation of the kurtosis statistic. The American Statistician 24 (Oct. 1970), 19–22

    Google Scholar 

  • Clancey, V. J.: Statistical methods in chemical analysis. Nature 159(1947), 339–340

    Google Scholar 

  • Cleary, T. A., and Linn, R. L.: Error of measurement and the power of a Statistical test. Brit. J. Math. Statist. Psychol. 22(1969), 49–55

    Google Scholar 

  • Cochran, W. G.: Note on an approximate formula for the significance levels of z. Ann. Math. Statist. 11(1940), 93–95

    MATH  MathSciNet  Google Scholar 

  • Cohen, A. C. jr.: (1) On the Solution of estimating equations for truncated and censored samples from normal populations. Biometrika 44(1957), 225–236. (2) Simplified estimators for the normal distribution when samples are singly censored or truncated. Technometrics 1 (1959), 217–237. (3) Tables for maximum likelihood estimates: singly truncated and singly censored samples. Technometrics 3 (1961), 535–541 [see also Applied Statistics 25 (1976), 8–11]

    MATH  MathSciNet  Google Scholar 

  • Cohen, J.: Statistical Power Analysis for the Behavioral Sciences. (Academic Press, pp. 496) New York 1977

    Google Scholar 

  • Cornfield, J.: (1) Bayes theorem. Rev. Internat. Statist. Inst. 35(1967), 34–49. (2) The Bayesian outlook and its application. With discussion. Biometrics 25 (1969), 617–642 and 643–657

    MATH  MathSciNet  Google Scholar 

  • Cox, D. R.: (1) Some simple approximate tests for Poisson variates. Biometrika 40(1953), 345–360. (2) Some problems connected with Statistical inference. Ann. Math. Statist. 29 (1958), 357–372. (3) The role of significance tests. Scand. J. Statist. 4 (1977), 49–70. (4) Some remarks on the role in statistics of graphical methods. Applied Statistics 27 (1978), 4–9 [cf. Biometrika 66 (1979), 188-190] Craig, I.: On the elementary treatment of index numbers. Applied Statistics 18 (1969), 141–152

    Google Scholar 

  • Crowe, W. R.: Index Numbers, Theory and Applications. London 1965

    Google Scholar 

  • Daeves, K., and Beckel, A.: Großzahl-Methodik und Häufigkeits-Analyse, 2nd edition. Weinheim/Bergstr. 1958

    Google Scholar 

  • D’Agostino, R. B.: Linear estimation of the normal distribution Standard deviation. The American Statistician 24(June 1970), 14–15 [see also J. Amer. Statist. Assoc. 68 (1973), 207–210]

    Google Scholar 

  • Dalenius, T.: The mode-a neglected Statistical parameter. J. Roy. Statist. Soc. A 128(1965), 110–117[see also Ann. Math. Statist. 36 (1965), 131–138 and 38 (1967), 1446–1455]

    MathSciNet  Google Scholar 

  • Darlington, R. B.: Is kurtosis really “peakedness”? The American Statistician 24 (April 1970), 19–22 (see also 24 [Dec. 1970], 41, 25 [Febr. 1971], 42, 43, 60 and 30 [1976], 8–12)

    Google Scholar 

  • David, Florence N.: (1) A Statistical Primer, Ch. Griffin, London 1953. (2) Games, Gods and Gambling. New York 1963

    Google Scholar 

  • Day, N. E.: Estimating the components of a mixture of normal distributions. Biometrika 56(1969), 463–47 4(see also 59 [1972], 639-648 and Technometrics 12 [1970], 823-833) Defense Systems Department, General Electric Company: Tables of the Individual and Cumulative Terms of Poisson Distribution. Princeton, N.J. 1962

    MATH  MathSciNet  Google Scholar 

  • DeLury, D. B. and Chung, J. H.: Confidence Limits for the Hypergeometric Distribution. Toronto 1950 Dickinson, G. C.: Statistical Mapping and the Presentation of Statistics. (E. Arnold, pp. 160) London 1963

    Google Scholar 

  • Dietz, K.: Epidemics and rumours: a survey. J. Roy. Statist. Soc. A 130(1967), 505–528

    MathSciNet  Google Scholar 

  • Documenta Geigy: Wissenschaftliche Tabellen. (6th and) 7th editions., Basel (1960 and) 1968, pages 85–103, 107, 108, 128 [8th revised edition 1980]

    Google Scholar 

  • Dubey, S. D.: Graphical tests for discrete distributions. The American Statistician 20 (June 1966), 23 + 24 [see also D. I. Holmes, The Statistician 23 (1974), 129–134]

    Google Scholar 

  • Dudewicz, E. J. and Dalal, S. R.: On approximations to the t-distribution. J. Qual. Technol. 4(1972). 196–198[see also Ann. Math. Statist. 34 (1963), 335–337 and Biometrika 61 (1974), 177–180]

    Google Scholar 

  • Ehrenberg, A. S. C. Graphs or tables? The Statistician 27(1978), 87–96.

    Google Scholar 

  • Elderton, W. P., and Johnson, N. L.: Systems of Frequency Curves. (Cambridge University Press, pp. 214) Cambridge 1969

    Google Scholar 

  • Faulkner, E. J.: A new look at the probability of coincidence of birthdays in a group. Mathematical Gazette 53(1969), 407–409 (see also 55 [1971], 70–72)

    Google Scholar 

  • Federighi, E. T.: Extended tables of the percentage points of Student’s t-distribution. J. Amer. Statist. Assoc. 54(1959), 683–688

    MathSciNet  Google Scholar 

  • Fenner, G.: Das Genauigkeitsmaß von Summen, Produkten und Quotienten der Beobachtungsreihen. Die Naturwissenschaften 19 (1931), 310

    Google Scholar 

  • Ferris, C. D., Grubbs, F. E., and Weaver, C. L.: Operating characteristics for the common Statistical tests of significance. Ann. Math. Statist. 17(1946), 178–197

    MATH  MathSciNet  Google Scholar 

  • Finucan, H. M.: A note on kurtosis. J. Roy. Statist. Soc, Ser. B 26 (1964), 111 + 112, p. 112

    MATH  MathSciNet  Google Scholar 

  • Fishburn, P. C: (1) Decision and Value Theory. New York 1964. (2) Decision under uncertainty: an introductory exposition. Industrial Engineering 17 (July 1966), 341–353

    Google Scholar 

  • Fisher, R. A.: (1) The negative binomial distribution. Ann. Eugenics 11(1941), 182–187. (2) Theory of Statistical estimation. Proc. Cambr. Phil. Soc. 22 (1925), 700–725. (3) Note on the efficient Atting of the negative binomial. Biometrics 9 (1953), 197–200. (4) The Design of Experiments, 7th ed. (Ist ed. 1935), Edinburgh 1960, Chapter II [see also J. Roy. Statist. Soc. B 37 (1975), 49–53]

    MathSciNet  Google Scholar 

  • Fisher, R. A. and Yates, F.: Statistical Tables for Biological, Agricultural and Medical Research. (Oliver and Boyd; pp. 146) Edinburgh and London 1963

    Google Scholar 

  • Flechtheim, O. K.: Futurologie. Der Kampf um die Zukunft. (Vlg. Wissenschaft u. Politik, 432 pages) Köln 1970 Fräser, C. O.: Measurement in psychology. Brit. J. Psychol. 71 (1980), 23-34

    Google Scholar 

  • Freudenberg, K.: Grundriß der medizinischen Statistik. Stuttgart 1962 Freudenthal, H., and Steiner, H.-G.: Aus der Geschichte der Wahrscheinlichkeitstheorie und der mathematischen Statistik. In H. Behnke, G. Bertram and R. Sauer (Eds.): Grundzüge der Mathematik. Vol. IV: Praktische Methoden und Anwendungen der Mathematik. Göttingen 1966, Chapter 3, pp. 149–195, cf. p. 168

    Google Scholar 

  • Gaddum, J.: Lognormal distribution. Nature 156(1945), 463–466

    MATH  MathSciNet  Google Scholar 

  • Garland, L. H.: Studies on the accuracy of diagnostie procedures. Amer. J. Roentg. 82(1959), 25–38 (particularly p. 28) [see also M. Jacobsen, Applied Statistics 24 (1975), 229-249]

    Google Scholar 

  • Gebelein, H.: (1) Logarithmische Normalverteilungen und ihre Anwendungen. Mitteilungsblatt f. math. Statistik 2(1950), 155–170. (2) Einige Bemerkungen und Ergänzungen zum graphischen Verfahren von Mosteller und Tukey. Mitteilungsblatt f. math. Statistik 5 (1953), 125-142

    MATH  MathSciNet  Google Scholar 

  • Gebhardt, F.: (1) On the effect of stragglers on the risk of some mean estimators in small samples. Ann. Math. Statist. 37(1966), 441–450. (2) Some numerical comparisons of several approximations to the binomial distribution. J. Amer. Statist. Assoc. 64 (1969), 1638–1646 (see also 66 [1971], 189–191)

    MATH  MathSciNet  Google Scholar 

  • Gehan, E. A.: Note on the “Birthday Problem”. The American Statistician 22 (April 1968), 28

    Google Scholar 

  • Geppert, Maria-Pia: Die Bedeutung statistischer Methoden für die Beurteilung biologischer Vorgänge und medizinischer Erkenntnisse. Klin. Monatsblätter f. Augenheilkunde 133(1958), 1–14

    Google Scholar 

  • Gini, C: Logic in statistics. Metron 19(1958), 1–77

    MATH  Google Scholar 

  • Glick, N.: Hijacking planes to Cuba: an up-dated version of the birthday problem. The American Statistician 24 (Febr. 1970), 41–44 [see also 30 (1976), 197 + 198]

    Google Scholar 

  • Good. I. J.: How random are random numbers? The American Statistician 23 (October 1969), 42–45 [see Applied Statistics 29 (1980), 164–171; and Biometrical Journal 22 (1980), 447–461]

    Google Scholar 

  • Graul, E. H. and Franke, H. W.: Die unbewältigte Zukunft. (Kindler; 301 pages) München 1970

    Google Scholar 

  • Gridgeman, N. T.: The lady tasting tea, and allied topics. J. Amer. Statist. Assoc. 54(1959), 776–783

    MATH  Google Scholar 

  • Griffiths, D. A.: Interval estimation for the three-parameter lognormal distribution via the likelihood function. Applied Statistics 29(1980), 58–68

    MATH  Google Scholar 

  • Grimm, H.: (1) Tafeln der negativen Binomialverteilung. Biometrische Zeitschr. 4(1962), 239–262. (2) Tafeln der Neyman-Verteilung Typ A. Biometrische Zeitschr. 6 (1964), 10–23. (3) Graphical methods for the determination of type and parameters of some discrete distributions. In G. P. Patil (Ed.): Random Counts in Scientific Work. Vol. I: Random Counts in Models and Structures. (Pennsylvania State University Press, pp. 268) University Park and London 1970, pp. 193–206 (see also J. J. Gart: 171–191)

    MATH  Google Scholar 

  • Groot, M. H. de: Optimal Statistical Decisions. (McGraw-Hill, pp. 489) New York 1970

    Google Scholar 

  • Guenther, W. C.: (1) Concepts of Statistical Inference. (McGraw-Hill, pp. 353) New York 1965 (2nd ed. 1973) [see also Statistica Neelandica 27 (1973), 103–110]. (2) The inverse hypergeometric-a useful model. Statist. Neerl. 29 (1975), 129–144

    Google Scholar 

  • Gumbel, E. J.: (1) Probability Tables for the Analysis of Extreme-Value Data. National Bureau of Standards, Appl. Mathem. Ser. 22, Washington, D. C, July 1953. (2) Statistics of Extremes. New York 1958 [see also Biometrics 23 (1967), 79–103 and J. Qual. Technol. 1 (Oct. 1969), 233–236] (3) Technische Anwendungen der statistischen Theorie der Extremwerte. Schweiz. Arch. angew. Wissenschaft Technik 30 (1964), 33–47

    Google Scholar 

  • Gurland, J.: Some applications of the negative binomial and other contagious distributions. Amer. J. Public Health 49(1959), 1388–1399[see also Biometrika 49 (1962), 215–226 and Biometrics 18 (1962), 42–51]

    Google Scholar 

  • Guterman, H. E.: An upper bound for the sample Standard deviation. Technometrics 4(1962), 134–135

    Google Scholar 

  • Haight, F. A.: (1) Index to the distributions of mathematical statistics. J. Res. Nat. Bur. Stds. 65B(1961), 23–60. (2) Handbook of the Poisson Distribution. New York 1967 Haid, A.: (1) Statistical Tables and Formulas. New York 1952, pp. 47–59. (2) Statistical Theory with Engineering Applications. New York 1960, Chapter 7 Hall, A. D.: A Methodology for Systems Engineering. Princeton, N.J. 1962 Hamaker, H. C.: Approximating the cumulative normal distribution and its inverse. Applied Statistics 27 (1978), 76–77 [see 26 (1978), 75–76 and 28 (1979), 175–176 as well as P. A. P. Moran, Biometrika 67 (1980), 675–677]

    MathSciNet  Google Scholar 

  • Hamblin, C. L.: Fallacies. (Methuen; pp. 326) London 1970

    Google Scholar 

  • Hampel, F.: Robuste Schätzungen. Ein anwendungsorientierter Überblick. Biometrical Journal 22(1980), 3–21

    MATH  MathSciNet  Google Scholar 

  • Harris, D.: A method of separating two superimposed normal distributions using arithmetic probability paper. J. Animal Ecol. 37(1968), 315–319

    Google Scholar 

  • Harter, H. L.: (1) A new table of percentage points of the chisquare distribution. Biometrika 51(1964), 231–239. (2) The use of order statistics in estimation. Operations Research 16 (1968), 783–798. (3) The method of least Squares and some alternatives-part I/VI. Int. Stat. Rev. 42 (1974), 147–174,235–264,282,43 (1975), 1–44. 125–190, 269–272, 273–278, 44 (1976), 113–159. (4) A bibliography on extreme-value theory. Int. Stat. Rev. 46 (1978). 279–306 Harvard University, Computation Laboratory: Tables of the Cumulative Binomial Probability Distribution; Annais of the Computation Laboratory of Harvard University, Cambridge, Mass. 1955

    MATH  MathSciNet  Google Scholar 

  • Hemelrijk, J.: Back to the Laplace definition. Statistica Neerlandica 22(1968), 13–21

    MATH  MathSciNet  Google Scholar 

  • Henning, H.-J., and Wartmann, R.: Auswertung spärlicher Versuchsdaten im Wahrscheinlichkeitsnetz. ärztl. Forschung 12(1958), 60–66

    Google Scholar 

  • Herdan, G.: (1) The relation between the dictionary distribution and the occurrence distribution of word length and its importance for the study of quantitative linguistics. Biometrika 45(1958), 222–228. (2) The Advanced Theory of Language as Choice and Chance. Berlin-Heidelberg-New York 1966, pp. 201–206

    Google Scholar 

  • Herold, W.: Ein Verfahren der Dekomposition einer Misch Verteilung in zwei normale Komponenten mit unterschiedlichen Varianzen. Biometrische Zeitschr. 13(1971), 314–328

    MATH  MathSciNet  Google Scholar 

  • Heyde, J. E.: Technik des wissenschaftlichen Arbeitens. With a Supplement: Dokumentation von H. Siegel. lOth edition (Kiepert, 230 pages) Berlin 1970

    Google Scholar 

  • Hill, G. W.: Reference table. “Student’s” f-distribution quantiles to 20 D. CSIRO Div. Math. Statist. Tech. Paper 35(1972), 1–24

    Google Scholar 

  • Hodges, J. L., Jr. and E. L. Lehmann: A compact table for power of the t-test. Ann. Math. Statist. 39(1968), 1629–1637

    MATH  MathSciNet  Google Scholar 

  • Holm, K. (Ed.): Die Befragung 1/6. (UTB 372/3, 433/6) (A. Francke) München 1975, 1976

    Google Scholar 

  • Hotelling, H.: The Statistical method and the philosophy of science. The American Statistician 12 (December 1958), 9–14

    Google Scholar 

  • Huber, P. J.: Robust statistics: a review. Ann. Math. Statist. 43(1972), 1041–1067 (cf.

    MATH  MathSciNet  Google Scholar 

  • F. Hampel, J. Amer. Statist. Assoc. 69(1974), 383–393and Biometrical Journal 22 (1980), 3–21)

    MATH  MathSciNet  Google Scholar 

  • Huddieston, H. F.: Use of order statistics in estimating Standard deviations. Agric. Econom. Research 8(1956), 95–99

    Google Scholar 

  • Johnson, E. E.: (1) Nomograph for binomial and Poisson significance tests. Industrial Quality Control 15 (March 1959), 22 + 24. (2) Empirical equations for approximating Tabular F values. Technometrics 15 (1973), 379–384

    Google Scholar 

  • Johnson, N. L. and Kotz, S.: Urn Models and their Application. An Approach to Modern Discrete Probability Theory. (Wiley, pp. 402) New York 1977

    Google Scholar 

  • Jolly, G. M.: Estimates of population parameters from multiple recapture data with both death and dilution-deterministic model. Biometrika 50(1963), 113–126

    MATH  MathSciNet  Google Scholar 

  • Jungk. R. (Ed.): Menschen im Jahre 2000. Eine Übersicht über mögliche Zukünfte. (Umschau Vlg., 320 pages) Frankfurt/M. 1969

    Google Scholar 

  • Kahn, H., and Wiener, A. J.: Ihr werdet es erleben. (F. Molden, 430 pages) Wien-München-Zürich 1968

    Google Scholar 

  • Kendali, M. G.: Model Building and Its Problems. (Hafner, pp. 165) New York 1968

    Google Scholar 

  • King, A. C, and Read, C. B.: Pathways to Probability. History of the Mathematics of Certainty and Chance. (Holt, Rinehart and Winston, pp. 139) New York 1963

    Google Scholar 

  • King, J. R.: Probability Charts for Decision Making. (Industrial Press; pp. 290) New York 1971

    Google Scholar 

  • Kitagawa, T.: Tables of Poisson Distribution. (Baifukan) Tokyo 1952

    Google Scholar 

  • Kliemann, H.: Anleitungen zum wissenschaftlichen Arbeiten. Eine Einführung in die Praxis. 7th edition (H. Steinberg and M. Schütze, Eds.), (Rombach, 190 pages) Freiburg 1970

    Google Scholar 

  • Kolmogoroff, A. N.: Grundbegriffe der Wahrscheinlichkeitsrechnung. Berlin 1933

    Google Scholar 

  • Kramer, G.: Entscheidungsproblem, Entscheidungskriterien bei völliger Ungewißheit und Chernoflfsches Axiomensystem. Metrika 11(1966), 15–38(cf. Table 1, pp. 22–23)

    MATH  Google Scholar 

  • Kröber, W.: Kunst und Technik der geistigen Arbeit. 6th revised edition (Quelle und Meyer, 202 pages) Heidelberg 1969

    Google Scholar 

  • Lancaster, H. O.: (1) The combination of probabilities. (Query 237) Biometrics 23(1967) 840–842[cf. 31 (1975), 987–992 and Ann. Math. Statist. 38 (1967), 659–680]. (2) The Chi-Squared Distribution. (Wiley, pp. 356), New York 1969 Larson, H. R.: A nomograph of the cumulative binomial distribution. Industrial Quality Control 23 (Dec. 1966), 270–278 [see also Qualität u. Zuverlässigkeit 17 (1972)231–242 and 247–254]

    Google Scholar 

  • Laubscher, N. F.: Interpolation in F-tables. The American Statistician 19 (February 1965), 28 + 40

    Google Scholar 

  • Lehmann, E. L.: Significance level and power. Ann. Math. Statist. 29(1958), 1167–1176

    MATH  Google Scholar 

  • Lesky, Erna: Ignaz Philipp Semmelweis und die Wiener medizinische Schule. Österr. Akad. Wiss., Philos.-histor. Kl. 245(1964), 3. Abh. (93 pages) [cf. Dtsch. Med. Wschr. 97(1972), 627–632]

    Google Scholar 

  • Lieberman, G. J., and Owen, D. B.: Tables of the Hypergeometric Probability Distribution. Stanford, Calif. 1961 [see also A. M. Mathai and R. K. Saxena, Metrika 14 (1969), 21-39]

    Google Scholar 

  • Liebscher, Klaudia: Die Abhängigkeit der Gütefunktion des F-Testes von den Freiheitsgraden. Operationsforschung u. math. Statistik I (Akademie-Verlag, 151 pages) Berlin 1968, pp. 121–136

    Google Scholar 

  • Liebscher, U.: Anwendung eines neuartigen Wahrscheinlichkeitsnetzes. Zschr. f. wirtschaftl. Fertigung 59(1964), 507–510

    Google Scholar 

  • Lienert, G. A.: Die zufallskritische Beurteilung psychologischer Variablen mittels verteilungsfreier Schnelltests. Psycholog. Beiträge 7(1962), 183–217

    Google Scholar 

  • Ling, R. F.: Study of the accuraey of some approximations for t, x 2, and F tail probabilities. J. Amer. Stat. Assoc. 73(1978), 274–283

    MATH  Google Scholar 

  • Linstone, H. A. and Turoff, M.: The Delphi Method. Techniques and Applications. (Addison-Wesley; pp. 620) London 1975

    Google Scholar 

  • Lockwood, A.: Diagrams. A Survey of Graphs, Maps, Charts and Diagrams for the Graphic Designer. (Studio Vista; pp. 144) London 1969

    Google Scholar 

  • Lubin, A.: Statistics. Annual Review of Psychology 13(1962), 345–370

    Google Scholar 

  • Mahalanobis, P. C.: A method of fractile graphical analysis. Econometrica 28(1960), 325–351

    Google Scholar 

  • Mallows, C. L.: Generalizations of Tchebycheffs inequalities. With discussion. J. Roy. Statist. Soc, Ser. B 18(1956), 139–176

    MathSciNet  Google Scholar 

  • Manly, B. F. J., and Parr, M. J.: A new method of estimating population size, survivorship, and birth rate from capture-recapture data. Trans. Soc Brit. Ent. 18(1968), 81–89 [cf. Biometrika 56 (1969), 407–410 and Biometrics 27 (1971), 415–424, 28 (1972), 337–343, 29 (1973), 487–500]

    Google Scholar 

  • Marascuilo, L. A. and Levin, J. R.: Appropriate post hoc comparisons for interaction and nested hypotheses in analysis of variance designs. The elimination of type IV errors. Amer. Educat. Res. J. 7(1970), 397–421[see also Psychol. Bull. 78 (1972), 368–374 and 81 (1974), 608–609]

    Google Scholar 

  • Maritz, J. S.: Empirical Bayes Methods. (Methuen, pp. 192) London 1970

    Google Scholar 

  • Martin, J. D., and Gray, L. N.: Measurement of relative Variation: sociological examples. Amer. Sociol. Rev. 36(1971), 496–502

    Google Scholar 

  • Martino. J. P.: The precision of Delphi estimates. Technol. Forecastg. (USA) 1(1970), 293–299

    Google Scholar 

  • Matthijssen, C, and Goldzieher, J. W.: Precision and reliability in liquid scintillation counting. Analyt. Biochem. 10(1965), 401–408

    Google Scholar 

  • McLaughlin, D. H., and Tukey, J. W.: The Variance of Means of Symmetrically Trimmed Samples from Normal Populations and its Estimation from such Trimmed Samples. Techn. Report No. 42, Statist. Techn. Res. Group, Princeton University, July 1961

    Google Scholar 

  • McNemar, Q.: Psychological Statistics. 4th ed. (Wiley; pp. 529) New York 1969, p. 75 [see also The American Statistician 29 (1975), 20-25]

    Google Scholar 

  • Miller, J. C. P. (Ed.): Table of Binomial Coefficients. Royal Soc. Math. Tables Vol. III, Cambridge (University Press) 1954

    Google Scholar 

  • Molenaar, W.: Approximations to the Poisson, Binomial, and Hypergeometric Distribution Functions. (Mathematisch Centrum, pp. 160) Amsterdam 1970

    Google Scholar 

  • Molina, E. C.: Poisson’s Exponential Binomial Limit. (Van Nostrand) New York 1945

    Google Scholar 

  • Montgomery, D. C.: An introduction to short-term forecasting. J. Ind. Engg. 19(1968), 500–504

    Google Scholar 

  • Morice, E.: Puissance de quelques tests classiques effectif d’echantillon pour des risques α, β fixes. Revue de Statistique Appliquee 16 (No. 1, 1968), 77–126

    Google Scholar 

  • Moses, L. E.: Statistical theory and research design. Annual Review of Psychology 7(1956), 233–258

    Google Scholar 

  • Moses, L. E., and Oakford, R. V.: Tables of Random Permutations. (Allen and Unwin, pp. 233) London 1963

    Google Scholar 

  • Moshman, J.: Critical values of the log-normal distribution. J. Amer. Statist. Assoc. 48(1953), 600–605

    MATH  MathSciNet  Google Scholar 

  • Mosteller, F., and Tukey, J. W.: The uses and usefulness of binomial probability paper. J. Amer. Statist. Assoc. 44(1949), 174–212

    MATH  Google Scholar 

  • Mudgett, B.: Index Numbers, New York 1951 National Bureau of Standards: Tables of the Binomial Probability Distribution. Applied Math. Series No. 6, Washington 1950

    Google Scholar 

  • Natrella, Mary, G.: Experimental Statistics. NBS Handbook 91. (U.S. Govt. Print. Office) Washington 1963, Chapters 3 + 4

    Google Scholar 

  • Naus, J. I.: An extension of the birthday problem. The American Statistician 22 (Feb. 1968), 227–229.

    Google Scholar 

  • Nelson, W.: The truncated normal distribution-with applications to component sorting. Industrial Quality Control 24(1967), 261–271

    Google Scholar 

  • Neumann von, J.: Zur Theorie der Gesellschaftsspiele. Math. Ann. 100(1928), 295–320

    MATH  MathSciNet  Google Scholar 

  • Neyman, J.: (1) On a new class of “contagious” distributions, applicable in entomology and bacteriology. Ann. Math. Statist. 10(1939), 35–57. (2) Basic ideas and some recent results of the theory of testing Statistical hypotheses. J. Roy. Statist. Soc. 105 (1942), 292–327. (3) First Course in Probability and Statistics. New York 1950, Chapter V: Elements of the Theory of Testing Statistical Hypotheses; Part 5 2 2: Problem of the Lady tasting tea. (4) Lectures and Conferences on Mathematical Statistics and Probability, 2nd rev. and enlarged ed., Washington 1952 Neyman, J., and Pearson, E. S.: (1) On the use and Interpretation of certain test criteria for purposes of Statistical inference. Part I and II. Biometrika 20A (1928), 175–240 and 263–294. (2) On the problem of the most efficient type of Statistical hypotheses. Philosophical Transactions of the Royal Society A 231 (1933), 289–337

    MATH  Google Scholar 

  • Noether, G. E.: Use of the ränge instead of the Standard deviation. J. Amer. Statist. Assoc. 50(1955), 1040–1055

    MATH  Google Scholar 

  • Norden, R. H.: A survey of maximum likelihood estimation. Int. Stat. Rev. 40(1972), 329–354; (Part 2) 41 (1973), 39–58

    MathSciNet  Google Scholar 

  • Nothnagel, K.: Ein graphisches Verfahren zur Zerlegung von Mischverteilungen. Qualitätskontrolle 13(1968), 21–24

    Google Scholar 

  • Novik, M. R. and Jackson, P. H.: Statistical Methods for Educational and Psychological Research (McGraw-Hill) New York 1974

    Google Scholar 

  • Ord, J. K.: Graphical methods for a class of discrete distributions. J. Roy. Statist. Soc. A 130(1967), 232–238

    MathSciNet  Google Scholar 

  • Owen, D. B.: Handbook of Statistical Tables. London 1962 (Errata: Mathematics of Computation 18, 87; Mathematical Reviews 28, 4608)

    Google Scholar 

  • Pachares, J.: Table of confidence limits for the binomial distribution. J. Amer. Statist. Assoc. 55, (1960), 521–533 [see also 70 (1975), 67–69]

    MATH  MathSciNet  Google Scholar 

  • Page, E.: Approximations to the cumulative normal function and its inverse for use on a pocket calculator. Applied Statistics 26(1977), 75–76[cf. 28 (1979), 175–176 and 27(1978), 76–77]

    MathSciNet  Google Scholar 

  • Paradine, C. G.: The probability distribution of x2-Mathematical Gazette 50(1966), 8–18

    MATH  Google Scholar 

  • Parks, G. M.: Extreme value statistics in time study. Industrial Engineering 16(1965), 351–355

    Google Scholar 

  • Parratt, L. G.: Probability and Experimental Errors in Science. London 1961

    Google Scholar 

  • Paulson, E.: An approximate normalization of the analysis of variance distribution. Ann. Math. Statist. 13(1942), 233–235[see also J. Statist. Comput. Simul. 3 (1974), 81-93 as well as Biometrika 66 (1979), 681–683]

    MATH  MathSciNet  Google Scholar 

  • Pearson, E. S. and Hartley, H. O. (Eds.): Biometrika Tables for Statisticians, Vol. I, Cambridge University Press, Cambridge, 1958

    Google Scholar 

  • Pearson, E. S. and Kendali, M. G. (Eds.): Studies in the History of Statistics and Probability. (Griffin, pp. 481) London 1970

    Google Scholar 

  • Pearson, E. S., and Tukey, J. W.: Approximate means and Standard deviations based on distances between percentage points of frequency curves. Biometrika 52(1965), 533–546

    MATH  MathSciNet  Google Scholar 

  • Pettitt, A. N.: (1) A non-parametric approach to the change point problem. Applied Statistics 28(1979), 126–135. (2) A simple cumulative sum type statistic for the change point problem with zero-one observations. Biometrika 67 (1980), 79–84 Pfanzagl, J.: (1) Verteilungsunabhängige statistische Methoden. Zschr. angew. Math. Mech. 42 (1962), T71–T77. (2) Allgemeine Methodenlehre der Statistik, Vols. I, II (page 63) (Sammlung Göschen), Berlin 1964, 1966

    MATH  MathSciNet  Google Scholar 

  • Pitman, E. J. G.: (1) Lecture Notes on Nonparametric Statistics. Columbia University, New York 1949. (2) Statistics and science. J. Amer. Statist. Assoc. 52 (1957), 322–330

    Google Scholar 

  • Plackett, R. L.: Random permutations. J. Roy. Statist. Soc, B 30(1968), 517–534

    MATH  MathSciNet  Google Scholar 

  • Polak, F. L.: Prognostics. (Elsevier, pp. 450) Amsterdam 1970

    Google Scholar 

  • Popper, K. R.: (1) Science: problems, aims, responsibilities. Fed. Proc 22(1963), 961–972. (2) Logik der Forschung, 2nd enlarged edition, Tübingen 1966 [see also Nature 241 (1973), 293–294]

    Google Scholar 

  • Pratt, J. W., Raiflfa, H., and Schlaifer, R.: The foundations of decision under uncertainty: an elementary exposition. J. Amer. Statist. Assoc 59(1964), 353–375

    MATH  MathSciNet  Google Scholar 

  • Prescott, P.: A simple method of estimating dispersion from normal samples. Applied Statistics 17(1968), 70–74[see also 24 (1975), 210–217 and Biometrika 58 (1971), 333–340]

    Google Scholar 

  • Pressat, R.: Demographic Analysis. Methods, Results, Applications. (Transl. by J. Matras). (Aldine-Atherton, pp. 498) London 1972

    Google Scholar 

  • Preston, E. J.: A graphical method for the analysis of Statistical distributions into two normal components. Biometrika 40(1953), 460–464[see also J. Amer. Statist. Assoc. 70 (1975), 47–55]

    MATH  MathSciNet  Google Scholar 

  • Price de, D. J. S.: (1) Science Since Babylon. New Häven, Connecticut 1961. (2) Little Science, Big Science. New York 1963. (3) Research on Research. In Arm, D. L. (Ed.), Journeys in Science: Small Steps — Great Strides. The University of New Mexico Press, Albuquerque 1967. (4) Measuring the size of science. Proc. Israel Acad. Sei. Humanities 4 (1969), No. 6, 98–111

    Google Scholar 

  • Quandt, R. E.: Old and new methods of estimation and the Pareto distribution. Metrika 10(1966), 55–82

    MathSciNet  Google Scholar 

  • Raiffa, H., and Schlaifer, R.: Applied Statistical Decision Theory. Division of Research, Harvard Business School, Boston, Mass. 1961

    Google Scholar 

  • Rao, C. R. and Chakravarti, I. M.: Some small sample tests of significance for a Poisson distribution. Biometrics 12(1956), 264–282

    MathSciNet  Google Scholar 

  • Rasch, D.: Zur Problematik statistischer Schlußweisen. Wiss. Z. Humboldt-Univ. Berlin, Math.-Nat. R. 18(1969) (2), 371–383

    Google Scholar 

  • Rider, P. R.: The distribution of the quotient of ranges in samples from a rectangular population. J. Amer. Statist. Assoc. 46(1951), 502–507

    MATH  MathSciNet  Google Scholar 

  • Rigas, D. A.: A nomogram for radioactivity counting statistics. International Journal of Applied Radiation and Isotopes 19(1968), 453–457

    Google Scholar 

  • Riordan, J.: (1) An Introduction to Combinatorial Analysis. New York 1958. (2) Combinatorial Identities. (Wiley, pp. 256) New York 1968

    Google Scholar 

  • Roberts, H. V.: Informative stopping rules and inferences about population size. J. Amer. Statist. Assoc. 62(1967), 763–775

    MathSciNet  Google Scholar 

  • Robson, D. S.: Mark-Recapture Methods of Population Estimation. In N. L. Johnson and H. Smith, Jr. (Eds.): New Developments in Survey Sampling. (Wiley-Interscience, pp. 732) New York 1969, pp. 120–146 [see also Biometrics 30 (1974), 77–87]

    Google Scholar 

  • Romig, H. G.: 50-100 Binomial Tables. (Wiley) New York 1953

    Google Scholar 

  • Rosenthal, R.: Combining results of independent studies. Psychological Bulletin 85(1978), 185–193[see 88 (1980), 494-495]

    Google Scholar 

  • Rusch, E., and Deixler, A.: Praktische und theoretische Gesichtspunkte für die Wahl des Zentralwertes als statistische Kenngröße für die Lage eines Verteilungszentrums. Qualitätskontrolle 7(1962), 128–134

    Google Scholar 

  • Saaty, L.: Seven more years of queues: a lament and a bibliography. Naval Res. Logist. Quart. 13(1966), 447–476

    MATH  MathSciNet  Google Scholar 

  • Sachs, L.: (1) Statistische Methoden. Ein Soforthelfer. 3rd revised edition (Springer, 105 pages) Berlin, Heidelberg, New York 1976, pages 7, 12–18, 23–26, 99, 100 (5th revised edition 1982). (2) Graphische Methoden in der Datenanalyse. Klin. Wschr. 55(1977), 973–983

    Google Scholar 

  • Sarhan, A. E. and Greenberg, B. G. (Eds.): Contributions to Order Statistics. New York 1962

    Google Scholar 

  • Savage, L R.: Probability inequalities of the Tchebycheff type. J. Res. Nat. Bur. Stds. 65B(1961), 211–222

    MathSciNet  Google Scholar 

  • Schindowski, E., und Schürz, O.: Das Binomialpapier. Fertigungstechnik 7(1957), 465–468

    Google Scholar 

  • Schmitt, S. A.: Measuring Uncertainty. An Elementary Introduction to Bayesian Statistics. (Addison-Wesley; pp. 400) Reading, Mass. 1969

    Google Scholar 

  • Schneeweiss, H.: Entscheidungskriterien bei Risiko. Berlin-Heidelberg 1967

    Google Scholar 

  • Schön, W.: Schaubildtechnik. Die Möglichkeiten bildlicher Darstellung von Zahlenund

    Google Scholar 

  • Sachbeziehungen. (Poeschel; 371 pages) Stuttgart 1969

    Google Scholar 

  • Severo, N. C. and Zelen, M.: Normal approximation to the chi-square and non-central F probability funetions. Biometrika 47(1960), 411–416[see also J. Amer. Statist. Assoc. 66 (1971), 577–582]

    MATH  MathSciNet  Google Scholar 

  • Sheynin, O. B.: C. F. Gauss and the theory of errors. Archive for History of Exact Sciences 20(1979), 21–72

    MATH  MathSciNet  Google Scholar 

  • Smirnov. N. V. (Ed.): Tables for the Distribution and Density Function of t-Distribution. London, Oxford 1961

    Google Scholar 

  • Smith, J. H.: Some properties of the median as an average. The American Statistician 12 (October 1958), 24, 25,41 [see also J. Amer. Statist. Assoc. 63 (1968), 627–635]

    Google Scholar 

  • Snyder, R. M.: Measuring Business Changes. New York 1955

    Google Scholar 

  • Southwood, T. R. E.: Ecological Methods with Particular Reference to the Study of Insect Populations. (Methuen, pp. 391), London 1966 [see also Science 162 (1968), 675 + 676]

    Google Scholar 

  • Spear, Mary, E.: Practical Charting Techniques. (McGraw-Hill, pp. 394) New York 1969

    Google Scholar 

  • Spinchorn, E.: The odds on Hamlet. American Statistician 24 (Dec. 1970), 14–17

    Google Scholar 

  • Stange, K.: Eine Verallgemeinerung des zeichnerischen Verfahrens zum Testen von Hypothesen im Wurzelnetz (Mosteller-Tukey-Netz) auf drei Dimensionen. Qualitätskontrolle 10(1965), 45–52

    Google Scholar 

  • Stegmüller, W.: Personelle und Statistische Wahrscheinlichkeit. Semivolume 1 and 2 (Vol. 4 of Probleme und Resultate der Wissenschaftstheorie und Analytischen Philosophie) (Springer, 560 and 420 pages) Berlin, Heidelberg, New York 1972 [see also Statist. Neerl. 28 (1974), 225–227,29 (1975), 29]

    Google Scholar 

  • Stephenson, C. E.: Letter to the editor. The American Statistician 24 (April 1970), 37 + 38

    Google Scholar 

  • Stevens, S. S.: On the theory of scales of measurement. Science 103(1946), 677–680

    MATH  Google Scholar 

  • Student: The probable error of a mean. Biometrika 6 (1908), 1–25 [see also 30 (1939), 210–250, Metron 5 (1925), 105–120 as well as The American Statistician 26 (Dec. 1972), 43 + 44]

    Google Scholar 

  • Sturges, H. A.: The choice of a class interval. J. Amer. Statist. Assoc. 21 (1926), 65 + 66

    Google Scholar 

  • Szameitat, K., and Deininger, R.: Some remarks on the problem of errors in Statistical results. Bull. Int. Statist. Inst. 42, I (1969), 66–91 [see also Allgem. Statist. Arch. 55 (1971), 290–303]

    Google Scholar 

  • Teichroew, D.: A history of distribution sampling prior to the era of the Computer and its relevance to Simulation. J. Amer. Statist. Assoc. 60(1965), 27–49

    MATH  MathSciNet  Google Scholar 

  • Theil, H.: (1) Optimal Decision Rules for Government and Industry. Amsterdam 1964. (2) Applied Economic Forecasting. (Vol. 4 of Studies in Mathematical and Managerial Economics; North-Holland Publ. Co., pp. 474) Amsterdam 1966 Thöni, H.: A table for estimating the mean of a lognormal distribution. J. Amer. Statist. Assoc. 64 (1969), 632–636. Corrigenda 65 (1970), 1011–1012 Thorndike, Frances: Applications of Poisson’s probability summation. Bell System Techn. J. 5 (1926), 604–624

    Google Scholar 

  • Troughton, F.: The rule of seventy. Mathematical Gazette 52 (1968), 52 + 53

    Google Scholar 

  • Tukey, J. W.: (1) Some sampling simplified. J. Amer. Statist. Assoc. 45(1950), 501–519. (2) Unsolved problems of experimental statistics. J. Amer. Statist. Assoc. 49 (1954), 706–731. (3) Conclusions vs. decisions. Technometrics 2 (1960), 423–433. (4) A survey of sampling from contaminated distributions. In I. Olkin and others (Eds.): Contributions to Probability and Statistics. Essays in Honor of Harold Hotelling, pp. 448–485, Stanford 1960. (5) The future of data analysis. Ann. Math. Statist. 33 (1962), 1–67 [Trimming and Winsorization: Statistische Hefte 15 (1974), 157–170]. (6) Data analysis, computation and mathematics. Quart. Appl. Math. 30 (1972), 51–65

    MATH  MathSciNet  Google Scholar 

  • Tukey, J. W., and McLaughlin, D. H.: Less vulnerable confidence and significance procedures for location based on a Single sample: Trimming/Winsorization I. Sankhya Ser. A 25(1963), 331–352

    MATH  MathSciNet  Google Scholar 

  • Vahle, H. and Tews, G.: Wahrscheinlichkeiten einer 2-Verteilung. Biometrische Zeitschr. 11(1969), 175–202[see also 18 (1976), 13–22]

    MATH  MathSciNet  Google Scholar 

  • Wacholder, K.: Die Variabilität des Lebendigen. Die Naturwissenschaften 39(1952), 177–184 and 195–198

    Google Scholar 

  • Waerden, B. L., van der: Der Begriff Wahrscheinlichkeit. Studium Generale 4(1951), 65–68; p. 67, left column

    MathSciNet  Google Scholar 

  • Wagle, B.: Some teehniques of short-term sales foreeasting. The Statistician 16(1966), 253–273

    Google Scholar 

  • Wald, A.: Statistical Decision Functions. New York 1950

    Google Scholar 

  • Wallis, W. A., and Roberts, H. V.: Methoden der Statistik, 2nd edition, Freiburg/Br. 1962

    Google Scholar 

  • Walter, E.: (1) Review of the book Verteilungsfreie Methoden in der Biostatistik by G. Lienert. Biometrische Zeitschr. 6(1964), 61–62. (2) Personal communication, 1966. Wasserman, P., and Silander, F. S.: Decision-Making: An Annotated Bibliography Supplement, 1958–1963. Ithaca, N.Y. 1964 Weber, Erna: Grundriß der Biologischen Statistik. 7th revised edition, Stuttgart 1972, pp. 143–160 (8th revised edition 1980) Weibull, W.: Fatigue Testing and Analysis of Results. New York 1961

    Google Scholar 

  • Weichselberger, K.: Über ein graphisches Verfahren zur Trennung von Mischverteilungen und zur Identifikation kupierter Normalverteilungen bei großem Stichprobenumfang. Metrika 4(1961), 178–229[see also J. Amer. Statist. Assoc. 70 (1975), 47–55]

    MATH  Google Scholar 

  • Weintraub, S.: Tables of the Cumulative Binomial Probability Distribution for Small Values of p. (The Free Press of Glencoe, Collier-Macmillan) London 1963

    Google Scholar 

  • Weiss, L.: Statistical Decision Theory. New York 1961

    Google Scholar 

  • Weiss, L. L.: (1) A nomogram based on the theory of extreme values for determining values for various return periods. Monthly Weather Rev. 83(1955), 69–71. (2) A nomogram for log-normal frequency analysis. Trans. Amer. Geophys. Union 38 (1957), 33–37 Wellnitz, K.: Kombinatorik, 6th edition (Bagel/Hirt, 56 pages) Düsseldorf/Kiel 1971 Westergaard, H.: Contributions to the History of Statistics. (P. S. King, pp. 280) London 1932

    Google Scholar 

  • Wilhelm, K. H.: Graphische Darstellung in Leitung und Organisation. 2nd edition (Vlg. Die Wirtschaft, 200 pages) Berlin 1971

    Google Scholar 

  • Wilk, M. B., and Gnanadesikan, R.: Probability plotting methods for the analysis of data. Biometrika 55(1968), 1–17[see also V. Barnett, Applied Statistics 24 (1975), 95–108]

    Google Scholar 

  • Williams, C. B.: (1) A note on the Statistical analysis of sequence length as a criterion of literary style. Biometrika 31(1940), 356–361. (2) Patterns in the Balance of Nature. New York 1964

    Google Scholar 

  • Williamson, E., and Bretherton, M. H.: Tables of the Negative Binomial Distribution. London 1963

    Google Scholar 

  • Wilson, E. B., and Hilferty, M. M.: The distribution of chi-square. Proc. Nat. Acad. Sei. 17(1931), 684–688 (see also Pachares, J.: Letter to the Editor. The American Statistician 22 [Oct. 1968], 50)

    Google Scholar 

  • Winkler, R. L.: An Introduction to Bayesian Inference and Decisions (Holt, Rinehart and Winston) New York 1972

    Google Scholar 

  • Wold, H. O. A.: Time as the realm of foreeasting. Annais of the New York Academy of Sciences 138(1967), 525–560

    Google Scholar 

  • Yamane, T.: Statistics. An Intoductory Analysis. Chapter 8, pp. 168–226. New York 1964

    Google Scholar 

  • Yasukawa, K.: On the probable error of the mode of skew frequency distributions. Biometrika 18(1926), 263–292, see pages 290, 291

    MATH  Google Scholar 

  • Zahlen, J. P.: Über die Grundlagen der Theorie der parametrischen Hypothesentests. Statistische Hefte 7(1966), 148–174

    Google Scholar 

  • Zar, J. H.: Approximations for the percentage points of the chi-squared distribution. Applied Statistics 27(1978), 280–290

    MATH  Google Scholar 

  • Zarkovich, S. S.: Quality of Statistical Data (United Nations Food & Agriculture Organization; pp. 395) Rome 1966

    Google Scholar 

  • Zinger, A.: On interpolation in tables of the F-distribution. Applied Statistics 13(1964), 51–53

    Google Scholar 

[8:1a] Stochastic processes

  • Bailey, N. T. J.: The Elements of Stochastic Processes with Applications to the Natural Sciences. (Wiley; pp. 249) New York 1964

    Google Scholar 

  • Bartholomew, D. J.: Stochastische Modelle für soziale Vorgänge. (Translated from English by D. PfafTenzeller) (Oldenbourg, 348 pages) Wien 1970 Bartlett, M. S.: (1) An Introduction to Stochastic Processes. Cambridge 1955 (2nd ed. 1966). (2) Stochastic Population Models. London 1960. (3) Essays on Probability and Statistics. London 1962

    Google Scholar 

  • Billingsley, P.: (1) Statistical Methods in Markov chains. Ann. Math. Statist. 32(1961), 12–40. (2) Statistical Inference for Markov Processes. Chicago 1961

    MathSciNet  Google Scholar 

  • Chiang, C. L.: Introduction to Stochastic Processes in Biostatistics. (Wiley, pp. 312) New York 1968

    Google Scholar 

  • Cox, D. R., and Lewis, P. A. W.: The Statistical Analysis of Series of Events. London 1966

    Google Scholar 

  • Cox, D. R., and Miller, H. D.: The Theory of Stochastic Processes. (Wiley; pp. 337) London 1965

    Google Scholar 

  • Cox, D. R., and Smith, W. L.: Queues. London 1961

    Google Scholar 

  • Cramer, H.: Model building with the aid of stochastic processes. Technometrics 6(1964), 133–159

    MATH  MathSciNet  Google Scholar 

  • Cramer, H., and Leadbetter, M. R.: Stationary and Related Stochastic Processes: Sample Function Properties and Their Applications. (Wiley, pp. 348) New York and London 1967

    Google Scholar 

  • Deming, L. S.: Selected bibliography of Statistical literature: Supplement, 1958–1960. J. Res. Nat. Bur. Standards 67B(1963), 91–133 (pp. 99–120)

    Google Scholar 

  • Doig, A.: A bibliography on the theory of queues. Biometrika 44(1957), 490–514

    MATH  MathSciNet  Google Scholar 

  • Feller, W.: An Introduction to Probability Theory and Its Applications. Vol. 1, 3rd ed. (Wiley; pp. 509) New York 1968; Vol. 2, 2nd ed. (Wiley; pp. 669) New York 1971

    Google Scholar 

  • Gold, R. Z.: Tests auxiliary to x 2 tests in a Markov chain. Ann. Math. Statist. 34(1963), 56–74

    MATH  MathSciNet  Google Scholar 

  • Gurland, J. (Ed.): Stochastic Models in Medicine and Biology. Madison (Univ. of Wisconsin) 1964

    Google Scholar 

  • Karlin, S., and Taylor, H.: (1) A First Course in Stochastic Processes. 2nd ed. (Acad. Press; pp. 560) New York 1975. (2) A Second Course in Stochastic Processes. (Acad. Press; pp. 576) New York and London 1980

    Google Scholar 

  • Kemeny, J. G., and Snell, J. L.: Finite Markov Chains. Princeton, N.J. 1960; reprinted by Springer-Verlag, New York.

    Google Scholar 

  • Kemeny, J. G., Snell, J. L., and Knapp, A. W.: Denumerable Markov Chains. Princeton, N.J. 1966; reprinted by Springer-Verlag, New York

    Google Scholar 

  • Kuliback, S., Kupperman, M., and Ku, H. H.: Tests for contingency tables and Markov chains. Technometrics 4(1962), 573–608[cf. Applied Statistics 22 (1973), 7–20]

    MathSciNet  Google Scholar 

  • Lahres, H.: Einführung in die diskreten Markoff-Prozesse und ihre Anwendung. Braunschweig 1964

    Google Scholar 

  • Lee, A. M.: Applied Queueing Theory. London 1966

    Google Scholar 

  • Parzen, E.: (1) Modern Probability Theory and Its Applications. (Wiley; pp. 464)

    Google Scholar 

  • New York 1960. (2) Stochastic Processes. San Francisco 1962

    Google Scholar 

  • Prabhu, N. U.: (1) Stochastic Processes. Basic Theory and Its Applications. New York 1965. (2) Queues and Inventories: a Study of Their Basic Stochastic Processes. New York 1965

    Google Scholar 

  • Saaty, T. L.: Elements of Queueing Theory. New York 1961

    Google Scholar 

  • Schneeweiss, H.: Zur Theorie der Warteschlangen. Zeitschr. f. handelswissenschaftl. Forschg. 12(1960), 471–507

    Google Scholar 

  • Takacs, L.: (1) Introduction to the Theory of Queues. Oxford Univ. Press 1962. (2) Stochastische Prozesse. München 1966. (3) Combinatorial Methods in the Theory of Stochastic Processes. (Wiley, pp. 262) New York 1967 Wold, H. O. A.: The I.S.I. Bibliography on Time Series and Stochastic Processes. London 1965

    Google Scholar 

  • Zahl, S.: A Markov process model for follow-up studies. Human Biology 27(1955), 90–120

    Google Scholar 

[8:1b] Distribution-free methods

  • Bradley, J. V.: Distribution-Free Statistical Tests. (Prentice-Hall; pp. 388) Englewood Cliffs,N.J. 1968

    Google Scholar 

  • Büning, H. and Trenkler, G.: Nichtparametrische Statistische Methoden, (de Gruyter, 435 pages) Berlin and New York 1978

    Google Scholar 

  • Conover, W. J.: Practical Nonparametric Statistics. (Wiley; pp. 462) London 1971

    Google Scholar 

  • David, H. A.: Order Statistics. (Wiley, pp. 288) New York 1970

    Google Scholar 

  • Gibbons, Jean D.: Nonparametric Statistical Inference. (McGraw-Hill, pp. 306) New York 1971 [see also Biometrics 28(1972), 1148–1149]

    Google Scholar 

  • Häjek, J., and Sidäk, Z.: Theory of Rank-Tests (Academic Press, pp. 297) New York and London 1967

    Google Scholar 

  • Hollander, M., and Wolfe, D. A.: Nonparametric Statistical Methods. (Wiley, pp. 503) New York 1973

    Google Scholar 

  • Kraft, C. H., and Eeden, Constance Van: A Nonparametric Introduction to Statistics. (Macmillan, pp. 304) New York 1968

    Google Scholar 

  • Lehmann, E. L.: Nonparametrics. Statistical Methods Based on Ranks. (McGraw-Hill; pp. 457) New York 1975

    Google Scholar 

  • Lienert, G. A.: Verteilungsfreie Methoden in der Biostatistik. 2nd revised edition (A. Hain, Meisenheim am Glan) Vol. I (736 pages), 1973, Vol. II (1246 pages), 1978, Book of tables (686 pages) 1975

    MathSciNet  Google Scholar 

  • Milton, R. C.: Rank Order Probabilities. Two-Sample Normal Shift Alternatives. (Wiley, pp. 320) New York 1970

    Google Scholar 

  • Noether, G. E.: Elements of Nonparametric Statistics. (Wiley, pp. 104) New York 1967

    Google Scholar 

  • Puri, M. L. and Sen, P. K.: Nonparametric Methods in Multivariate Analysis. (Wiley, pp. 450) London 1971

    Google Scholar 

  • Savage, I. R.: Bibliography of Nonparametric Statistics. (Harvard University Press, pp. 284) Cambridge, Mass. 1962

    Google Scholar 

  • Walsh, J. E.: Handbook of Nonparametric Statistics. Vol. I-III (Van Nostrand, pp. 549, 686, 747) Princeton, N.J. 1962, 1965, 1968

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Sachs, L. (1982). Statistical Decision Techniques. In: Applied Statistics. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0123-3_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-0123-3_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-0125-7

  • Online ISBN: 978-1-4684-0123-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics