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Introduction to Robust and Quasi-Robust Statistical Methods pp 207–233Cite as

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References

  • Abramov V. A., Estimates for the Levy-Prokhorov distance, Theory Probab. Appl. 21 (1976) 396–400.

    Article  MathSciNet  MATH  Google Scholar 

  • Aitkin M. and Wilson G. T., Mixture models, outliers, and the EM algorithm, Technometrics, 21 (1980) 325–331.

    Article  Google Scholar 

  • Allgower E. and Georg K., Simplicial and continuation methods for approximating fixed points and solutions to system of equations, SIAM Rev. 22 (1980) 28–85.

    Article  MathSciNet  MATH  Google Scholar 

  • Amann H., Fixed point equations and non-linear eigenvalue problems in ordered Banach spaces, SIAM Rev. 18 (1976) 620–709.

    Article  MathSciNet  MATH  Google Scholar 

  • Andrews D. F., A general method for the approximation of tail areas, Ann. Statist. 1 (1973) 367–372.

    Article  MathSciNet  MATH  Google Scholar 

  • Andrews D. F., A robust method for multiple linear regression, Technometrics, 16 (1974) 523–531.

    Article  MathSciNet  MATH  Google Scholar 

  • Andrews D. F., Bickel P. J., Hampel F. R., Huber P. J., Rogers W. H. and Tukey J. W., Robust Estimates of Location: Survey and Advances, Princeton Univ. Press, Princeton, (1972).

    MATH  Google Scholar 

  • Andrews D. F. and Pregibon D., Finding outliers that matter, J. Roy. Statist. Soc. B-40 (1978) 85–93.

    Google Scholar 

  • Anscombe F. J., Rejection of outliers, Technometrics, 2 (1960) 123–147.

    Article  MathSciNet  MATH  Google Scholar 

  • Atkinson A. C, Examples showing the use of two graphical displays for the detection of influential and outlying observation in regression, COMPSTAT 1980, (1980) 276–282.

    Google Scholar 

  • Atkinson A. C, Two graphical displays for outlying and influential observations in regression, Biometrika, 68 (1981) 13–20.

    Article  MathSciNet  MATH  Google Scholar 

  • Atkinson A. C., Regression diagnostics, transformations and constructed variables, J. Roy. Statist. Soc. B-44 (1982) 1–36.

    Google Scholar 

  • Balinski M. L. and Cottle R. W. (Eds.), Complementarity and Fixed Point Problems, North-Holland, (1978).

    Google Scholar 

  • Bard Y., Nonlinear Parameter Estimation, Academic Press, (1974).

    MATH  Google Scholar 

  • Barndorfï-Nielsen O. and Cox D, R., Edgeworth and saddle-point approximations with statistical applications, J. Roy. Statist. Soc. B-41 (1979) 279–312.

    Google Scholar 

  • Barnett V. and Lewis T., Outliers in Statistical Data, Wiley, (1978).

    MATH  Google Scholar 

  • Barra J. R., Brodeau F., Romier G. and Van Cutsem B. (Eds.), Recent Developments in Statistics, North-Holland, (1977).

    MATH  Google Scholar 

  • Bates D. M. and Watts D. G., Relative curvature measures of non-linearity, J. Roy. Statist. Soc. B-42 (1980) 1–25.

    MathSciNet  Google Scholar 

  • Beale E. M. L., Confidence regions in non-linear estimation, J. Roy. Statist. Soc. B-22 (1960) 41–88.

    MathSciNet  Google Scholar 

  • Beaton A. E. and Tukey J. W., The fitting of power series, meaning polynomials, illustrated on band spectroscopic data, Technometrics, 16 (1974) 147–185.

    Article  MATH  Google Scholar 

  • Beran R., Robust location estimates. Ann. Statist. 5 (1977a) 431–444.

    Article  MathSciNet  MATH  Google Scholar 

  • Beran R., Minimum Hellinger distance estimates for parametric models. Ann. Statist. 5 (1977b) 445–463.

    Article  MathSciNet  MATH  Google Scholar 

  • Beran R., Robust estimations in models for independent non-identic ally distributed data, Ann. Statist. 10 (1982) 415–428.

    Article  MathSciNet  MATH  Google Scholar 

  • Berger J. O., Inadmissibility results for generalized bayes estimators of coordinates of a location vector, Ann. Statist. 4 (1976a) 302–333.

    Article  MathSciNet  MATH  Google Scholar 

  • Berger J. O., Admissibility results for generalized bayes estimators of coordinates of a location vector, Ann. Statist. 4 (1976b) 334–356.

    Article  MathSciNet  MATH  Google Scholar 

  • Berkson J., Minimum X-square, not maximum likelihood, Ann. Statist. 8 (1980) 457–487.

    Article  MathSciNet  MATH  Google Scholar 

  • Bickel P. J., One-step Huber estimates in the linear model, J. Amer. Statist. Ass. 70 (1975) 428–434.

    Article  MathSciNet  MATH  Google Scholar 

  • Bickel P. J., Using residuals robustly; I: Tests for heteroscedasticity, nonlinearity, Ann. Statist. 6 (1978) 266–291.

    Article  MathSciNet  MATH  Google Scholar 

  • Bickel P. J. and Freedman D. A., Some asymptotic theory for the bootstrap, Ann. Statist. 9 (1981) 1196–1217.

    Article  MathSciNet  MATH  Google Scholar 

  • Bierens H. J., Robust methods and asymptotic theory in nonlinear econometrics, Ph. D. Dissertation, Amsterdam Univ., Amsterdam, (1980).

    Google Scholar 

  • Bierens H. J., Robust methods and asymptotic theory in nonlinear econometrics, Lecture Notes Econ. Math. Syst., Springer Verlag, 192 (1981).

    Google Scholar 

  • Birch J. B., Effects of the starting value and stopping rule on robust estimates obtained by iterated least squares, Commun. Statist. -Simula. Computa. 9 (1980) 141–154.

    Article  Google Scholar 

  • Bissel A. F. and Ferguson R. A., The jackknife: Toy, tool or two edged weapon? Statistician, 24 (1975) 79–100.

    Article  Google Scholar 

  • Boos D. D., A differential for L statistics, Ann. Statist. 7 (1979) 955–959.

    Article  MathSciNet  MATH  Google Scholar 

  • Boos D. D., A new method for constructing approximate confidence intervals from M estimates, J. Amer. Statist. Ass. 75 (1980) 142–145.

    Article  MathSciNet  MATH  Google Scholar 

  • Boos D. D. and Serfling R. J., A note on differentials and the CLT and LIL for statistical functions with application to M estimates, Ann. Statist. 8 (1980) 618–624.

    Article  MathSciNet  MATH  Google Scholar 

  • Box G. E. P., Non-normality and test on variances, Biometrika, 40 (1953) 318–335.

    MathSciNet  MATH  Google Scholar 

  • Boyd D. W., The power method for Lp norms, Lin. Alg. and its Appl., 9 (1974) 95–101.

    Article  MATH  Google Scholar 

  • Boyer J. E. and Kolson J. O., Variances for adaptive trimmed means, Biometrika, 70 (1983) 97–102.

    Article  MathSciNet  Google Scholar 

  • Bradu D. and Gabriel K. R., The biplot as a diagnostic tool for model of twoway tables, Technometrics, 20 (1978) 47–68.

    Article  MATH  Google Scholar 

  • Brownlee K. A., Statistical Theory and Methodology in Science and Engineering, Wiley, 2nd ed. (1965).

    MATH  Google Scholar 

  • Callaert H., Janssen P. and Veraverbeke N., An Edgeworth expansion for U-statistics, Ann. Statist. 8 (1980) 299–312.

    Article  MathSciNet  MATH  Google Scholar 

  • Campbell N. A., Robust procedures in multivariate analysis, I. Robust covariance estimation, Appl. Statist. 29 (1980) 231–237.

    Article  MATH  Google Scholar 

  • Campbell N. A., Robust procedures in multivariate analysis, II. Robust canonical variate analysis, Appl. Statist. 31 (1982) 1–8.

    Article  MATH  Google Scholar 

  • Cargo G. T. and Shisha O., Least pth powers of deviations. J. Approxim. Theory, 15 (1975) 335–355.

    Article  MathSciNet  MATH  Google Scholar 

  • Carroll R. J., On the asymptotic distribution of multivariate M estimates, J. Multiv. Anal. 8 (1978) 361–371.

    Article  MATH  Google Scholar 

  • Carroll R. J., Robust methods for factorial experiments with outliers, Appl. Statist. 29 (1980a) 246–251.

    Article  Google Scholar 

  • Carroll R. J., Robust estimation in the heteroscedastic model when there are many parameters, Univ. North Carolina, Chapel Hill, 1321 (1980b).

    Google Scholar 

  • Carroll R. J. and Ruppert D., On robust tests for heteroscedasticity, Univ. North Carolina, Chapel Hill, 1241 (1979).

    Google Scholar 

  • Chambers R. L. and Heathcote C. R., On the estimation of slope and the identification of outliers in linear regression, Biometrika, 68 (1981) 21–

    Article  MathSciNet  MATH  Google Scholar 

  • Chan L. K. and Rhodin L. S., Robust estimation of location using optimally chosen sample quantiles, Technometrics, 22 (1980) 225–237.

    Article  MATH  Google Scholar 

  • Chen C. H., On information and distance measures, error bounds and feature selection, Information Sc. 10 (1976) 159–174.

    Google Scholar 

  • Clarke G. P. Y., Moments of the least squares estimators in non-linear regression model, J. Roy. Statist. Soc. B-42 (1980) 227–237.

    Google Scholar 

  • Coleman D., Holland P., Kaden N., Klema V. and Peters S. C., A system of subroutines for iteratively reweighted least squares computations, ACM Trans. Math. Softw. 6 (1980) 327–336.

    Article  MATH  Google Scholar 

  • Collins J. R., Robust estimation of a location parameter in the presence of asymmetry, Arm. Statist. 4 (1976) 68–85.

    Article  MATH  Google Scholar 

  • Collins J. R., Robust M estimators of location vectors, J. Multiv. Anal. 12 (1982) 480–492.

    Article  MATH  Google Scholar 

  • Conover W. J., Rank tests for one sample, two samples and K samples without the assumption of a continuous distribution function, Ann. Statist. 1 (1973) 1105–1125.

    Article  MathSciNet  MATH  Google Scholar 

  • Cook R. D. and Weisberg S., Residuals and Influence in Regression, Chapman and Hall, London (1982).

    MATH  Google Scholar 

  • Cressie N., Transformations and the jackknife, J. Roy. Statist. Soc. B-43 (1981) 177–182.

    MathSciNet  Google Scholar 

  • Cryer J. D., Robertson T. and Wright F. T., Monotone median regression, Ann. Math. Statist. 43 (1972) 1459–1469.

    Article  MathSciNet  MATH  Google Scholar 

  • Daniel C. and Wood F. S., Fitting Equations to Data, Wiley, (1971).

    MATH  Google Scholar 

  • Daniels H. E., Approximation to the distribution of Huber’s robust M estimators (Abstract), European Meeting of Statisticians, Université de Grenoble (1976) 180.

    Google Scholar 

  • Daniels H. E., Saddlepoint approximations for estimating equations, Biometrika, 70 (1983) 89–96.

    Article  MathSciNet  MATH  Google Scholar 

  • Das Gupta S., Brunn-Minkowski inequality and its aftermath, J. Multiv. Anal. 10 (1980) 296–318.

    Article  MATH  Google Scholar 

  • Daniels H. E., Exact and saddlepoint approximations, Biometrika, 67 (1980) 59–63.

    Article  MathSciNet  MATH  Google Scholar 

  • David H. A. (Ed.), Contributions to survey Sampling and Applied Statistics, Academic Press (1978).

    MATH  Google Scholar 

  • David H. A. and Shu V. S., Robustness of location estimators in the presence of an outlier, in David (1978) 235–250.

    Google Scholar 

  • Dempster A. P., Estimation in multivariate analysis, in Krishnaiah (1966) 315–334.

    Google Scholar 

  • Dempster A. P., A generalization of bayesian inference, J. Roy. Statist. Soc. B-30 (1968) 205–247.

    MathSciNet  Google Scholar 

  • Dempster A. P., A subjectivist look at robustness, in ISI, 1 (1975) 349–374.

    MathSciNet  Google Scholar 

  • Dempster A. P., Examples relevant to the robustness of applied inferences, in Gupta and Moore (1977) 121–138.

    Google Scholar 

  • Denby L. and Mallows C. L., Two diagnostic displays for robust regression analysis, Technometrics, 19 (1977) 1–13.

    Article  MATH  Google Scholar 

  • den Heijer C. and Rheinboldt W. C., On steplength algorithms for a class of continuation methods, Univ. Pittsburgh, Pittsburgh, Techn. Rept. ICMA-80-16 (1980).

    Google Scholar 

  • Dennis J. E. and Welsch R. E., Techniques for nonlinear least squares and robust regression, Proc. Amer. Statist. Ass., (1976) 83–87.

    Google Scholar 

  • Deuflhard P., A stepsize control for continuation methods and its special application to multiple shooting techniques, Numer. Math. 33 (1979) 115–146.

    Article  MathSciNet  MATH  Google Scholar 

  • Devlin S. J., Gnanadesikan R. and Kettenring J. R., Robust estimation of dispersion matrices and principal components, J. Amer. Statist. Ass. 76 (1981) 354–362.

    Article  MATH  Google Scholar 

  • Devroye L. P., The uniform convergence of the Nadaraya-Watson regression function estimate, Canad. J. Statist. 6 (1978) 179–191.

    Article  MathSciNet  MATH  Google Scholar 

  • Devroye L. P. and Wagner T. J., Distribution-free consistency results in nonparametric discrimination and regression function estimation, Ann. Statist. 8 (1980) 231–239.

    Article  MathSciNet  MATH  Google Scholar 

  • Diaconis P. and Efron B., Computer-intensive methods in statistics, Scientific Amer. (May 1983) 96–108.

    Google Scholar 

  • Doornbos R., Testing for an outlier in a linear model, Biometrics, 37 (1981) 705–711.

    Article  MathSciNet  MATH  Google Scholar 

  • Dowson D. C. and Landau B. V., The Frechet distance between multivariate normal distributions, J. Multiv. Anal. 12 (1982) 450–455.

    Article  MathSciNet  MATH  Google Scholar 

  • Draper N. R. and John J. A., Influential observations and outliers in regression, Technometrics, 23 (1981) 21–26.

    Article  MathSciNet  MATH  Google Scholar 

  • Draper N. R. and Smith H., Applied Regression Analysis, Wiley, (1966).

    Google Scholar 

  • Durbin J., Approximations for densities of sufficient estimators, Biometrika, 67 (1980) 311–333.

    Article  MathSciNet  MATH  Google Scholar 

  • Dutter R., Algorithms for the Huber estimator of multiple regression, Computing, 18 (1977) 167–176.

    Article  MathSciNet  MATH  Google Scholar 

  • Dutter R. and Huber P. J., On the methods for the numerical solution of robust regression problems, Manuscript, Technical Univ. Graz, (1978).

    Google Scholar 

  • Dutter R. and Huber P. J., Numerical methods for the nonlinear robust regression problem, J. Statist. Comput. Simul. 13 (1981) 79–113.

    Article  MathSciNet  MATH  Google Scholar 

  • Eaton M. L., A review of selected topics in multivariate probability inequalities, Ann. Statist. 10 (1982) 11–43.

    Article  MathSciNet  MATH  Google Scholar 

  • Edgeworth F. Y., Exercises in the calculation of errors, Philos. Magaz. 36 (1893) 98–111.

    Google Scholar 

  • Efron B., Bootstrap methods: Another look at the jackknife, Ann. Statist. 7 (1979a) 1–26.

    Article  MathSciNet  MATH  Google Scholar 

  • Efron B., Computers and the theory of statistics: Thinking the unthinkable, SIAM Rev. 21 (1979b) 460–480.

    Article  MathSciNet  MATH  Google Scholar 

  • Efron B., The jackknife, the bootstrap and other resampling plans, Stanford Univ., Stanford, Techn. Rept. 163 (1980b).

    Google Scholar 

  • Efron B., Nonparametric estimates of standard errors: The jackknife, the bootstrap and other methods, Biometrika, 68 (1981a) 589–599.

    Article  MathSciNet  MATH  Google Scholar 

  • Efron B., Censored data and the bootstrap, J. Amer. Statist. Ass. 76 (1981b) 312–319.

    Article  MathSciNet  MATH  Google Scholar 

  • Efron B. and Hinkley D. V., Assessing the accuracy of the maximum likelihood estimator: observed versus expected Fisher information, Biometrika, 65 (1978) 457–487.

    Article  MathSciNet  MATH  Google Scholar 

  • Eisenhart C., The development of the concept of the best mean of a set of measurements from antiquity to the present day, Amer. Statist. Ass. Presidential Address, Audience notes (1971).

    Google Scholar 

  • Ekblom H., Calculation of linear best Lp-approximations, BIT, 13 (1973) 292–300.

    Article  MathSciNet  MATH  Google Scholar 

  • Ekblom H., Lp-methods for robust regression, BIT, 14 (1974) 22–32.

    Article  MathSciNet  MATH  Google Scholar 

  • Evans J. G., Kersten P. and Kurz L., Robust recursive estimation with applications, Inform. Sc. 11 (1976) 69–92.

    Article  Google Scholar 

  • Feller W., An Introduction to Probability Theory and its Applications, Wiley, Vol.2 (1966).

    MATH  Google Scholar 

  • Fenstad G. U., Kjaernes M. and Walloe L., Robust estimation of standard deviation, J. Comput. Simul. 10 (1980) 113–132.

    Article  MATH  Google Scholar 

  • Ferguson T. S., Prior distributions on spaces of probability measures, Ann. Statist. 2 (1974) 615–629.

    Article  MathSciNet  MATH  Google Scholar 

  • Ferguson R. A., Fryer J. G. and Mc Whinney I. A., On the estimation of a truncated normal distribution, in I. S. I. 3 (1975) 259–363.

    Google Scholar 

  • Field C., Small sample asymptotic expansions for multivariate M estimates, Ann. Statist. 10 (1982) 672–689.

    Article  MathSciNet  MATH  Google Scholar 

  • Field C. A. and Hampel F. R., Small asymptotic distributions of M estimators of location, Biometrika, 68 (1982) 29–46.

    MathSciNet  Google Scholar 

  • Fine T. L., Theories of Probability: An Examination of Foundations, Academic Press, (1973).

    MATH  Google Scholar 

  • Fischler M. A. and Bolles R. C., Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography, Comm. ACM, 24 (1981) 381–395.

    Article  MathSciNet  Google Scholar 

  • Fisher R. A., On the mathematical foundations of theoretical statistics, Philos. Trans. Roy. Soc. London, A-222 (1922) 309–368.

    Google Scholar 

  • Fletcher R., Grant J. A. and Hebden M. D., The continuity and differentiability of the parameters of the best linear Lp-approximation, J. Approx. Theory, 10 (1974) 69–73.

    Article  MathSciNet  MATH  Google Scholar 

  • Fletcher R. and Powell M. J. D., A rapidly convergent descent method for minimization, Computer J. 6 (1963) 163–168.

    MathSciNet  MATH  Google Scholar 

  • Forster W. (Ed.), Numerical Solution of Highly Nonlinear Problems, North-Holland, (1980).

    MATH  Google Scholar 

  • Forsythe A. B., Robust estimation of straight line regression coefficients by minimizing pth power deviations, Technometries, 14 (1972) 159–166.

    Article  MATH  Google Scholar 

  • Freedman D. A., Bootstrapping regression models, Ann, Statist. 9 (1981) 1218–1228.

    Article  MathSciNet  MATH  Google Scholar 

  • Fuller W. A., Properties of some estimators for the errors-in variables model, Ann. Statist. 8 (1980) 407–422.

    Article  MathSciNet  MATH  Google Scholar 

  • Garber S. and Klepper S., Extending the classical errors-in-variables model, Econometrica, 48 (1980) 1541–1546.

    Article  MathSciNet  MATH  Google Scholar 

  • Garcia C. B. and Gould F. J., Relations between several path following algorithms and local and global Newton methods, SIAM Rev. 22 (1980) 263–274.

    Article  MathSciNet  MATH  Google Scholar 

  • Garcia-Polamores U. and Giné E. M., On the linear programming approach to the optimality property of Prokhorov’s distance, J. Math. Anal. and Appl. 60 (1977) 596–600.

    Article  MathSciNet  Google Scholar 

  • Gasser T. and Rosenblatt M. (Eds.), Smoothing Techniques for Curve Estimation, Lecture Notes in Mathematics, Springer-Verlag, 757 (1979).

    Google Scholar 

  • Gaver D. P. and Hoel D. G., Comparison of certain small sample Poisson probability estimates, Technometrics, 12 (1970) 835–850.

    Article  MATH  Google Scholar 

  • Gentleman W. M., Robust estimation of multivariate location by minimizing pth power deviations, Ph. D. Dissertation, Princeton University, and Bell Tel. Labs, Memorandum MM65-1215-16 (1965).

    Google Scholar 

  • Ghosh M. and Sinha B. K., On the robustness of least squares procedures in the regression models, J. Multiv. Anal. 10 (1980) 332–342.

    Article  MathSciNet  MATH  Google Scholar 

  • Gill P. E. and Murray W., Algorithms for the solution of the non-linear least-squares problem, SIAM J. Numer. Anal. 15 (1978) 977–992.

    Article  MathSciNet  MATH  Google Scholar 

  • Gleser L. J., Estimation in a “errors in variables” regression model: Large sample results, Ann. Statist. 9 (1981) 24–44.

    Article  MathSciNet  MATH  Google Scholar 

  • Golub G. E. and van Loan C. F., An analysis of the total least squares problem, SIAM J. Numer. Anal. 17 (1980) 883–893.

    Article  MathSciNet  MATH  Google Scholar 

  • Gray H. L. and Schucany W. R., The Generalized Jackknife Statistic, Marcel Dekker, (1972).

    MATH  Google Scholar 

  • Gray H. L., Schucany W. R. and Watkins T. A., On the generalized jack-knife and its relation to statistical differentials, Biometrika, 62 (1975) 637–642.

    Article  MathSciNet  MATH  Google Scholar 

  • Gray H. L., Schucany W. R. and Woodward W. A., Best estimates of functions of the parameters of the gaussian and gamma distributions. IEEE Trans. Reliab. R-25 (1976) 95–99.

    Article  MathSciNet  Google Scholar 

  • Griffiths D. and Willcox M., Percentile regression: A parametric approach, J. Amer. Statist. Ass. 73 (1978) 496–498.

    Article  MATH  Google Scholar 

  • Gross A. J. and Hosmer D. W., Approximating tail areas of probability distributions, Ann. Statist. 6 (1978) 1352–1359.

    Article  MathSciNet  MATH  Google Scholar 

  • Gross A. M., Confidence intervals for bisquare regression estimates, J. Amer. Statist. Ass. 72 (1977) 341–354.

    Article  MATH  Google Scholar 

  • Gross A. M. and Tukey J. W., The estimators of the Princeton Robustness Study, Princeton Univ. Techn. Rept. 38-2 (1973).

    Google Scholar 

  • Gupta S. S. and Moore D. S. (Eds.), Statistical Decision Theory and Related Topics, Academic Press, (1977).

    MATH  Google Scholar 

  • Hall P., On the limiting behavior of the mode and median of the sum of independent random variables, Ann. Prob. 8 (1980) 419–430.

    Article  MATH  Google Scholar 

  • Hampel F. R., Contributions to the theory of robust estimation, Ph. D. Dissertation, Univ. California, Berkeley, (1968).

    Google Scholar 

  • Hampel F. R., A general qualitative definition of robustness, Ann. Math. Statist. 42 (1971) 1887–1896.

    Article  MathSciNet  MATH  Google Scholar 

  • Hampel F. R., Robust estimation: a condensed partial survey, Z. Wahrscheinlichkeitstheorie verw. Geb. 27 (1973a) 87–104.

    Article  MathSciNet  MATH  Google Scholar 

  • Hampel F. R., Some small sample asymptotics, Proc. Prague Symposium on asymptotic statistics (1973b) 109–126.

    Google Scholar 

  • Hampel F. R., The influence curve and its role in robust estimation, J. Amer. Statist. Ass. 69 (1974) 383–393.

    Article  MathSciNet  MATH  Google Scholar 

  • Hampel F. R., Beyond location parameters: Robust concepts and methods, In I. S. I. 1 (1975) 375–382.

    MathSciNet  Google Scholar 

  • Hampel F. R., On the breakdown points of some rejection rules with mean, E. T. H. Zurich, Res. Rept. 11 (1976).

    Google Scholar 

  • Hampel F. R., Modern trends in the theory of robustness, Math. Operationsforsch. Statist. - Ser. Statist. 9 (1978a) 425–442.

    MathSciNet  MATH  Google Scholar 

  • Hampel F. R., Optimally bounding the gross-error sensitivity and the influence of position in factor space, ASA/IMS Meeting, San Diego (1978b).

    Google Scholar 

  • Hampel F. R., Marazzi A., Ronchetti E., Rousseeuw P., Stahel W. and Welsch R. E., Bibliography, Handouts for the instructional meeting on Robust Statistical Methods, 15th European Meeting of Statisticians, Palermo, Sept. 13–17, 5 (1982).

    Google Scholar 

  • Hampel F. R., Rousseeuw P. and Ronchetti E., The change-of-variance curve and optimal redescending M estimators, J. Amer. Statist. Ass. 76 (1981) 643–648.

    Article  MathSciNet  MATH  Google Scholar 

  • Harter H. L., The method of least squares and some alternatives, Int. Statist. Rev. 42 (1974) 147–174, 235–264, 282, 43 (1975) 1–44, 125–190, 273–278, 269–272, 44 (1976) 113–159.

    Article  MathSciNet  Google Scholar 

  • Harter H. L., Moore A. H. and Curry T. F., Adaptive robust estimation of location and scale parameters of symmetric populations, Air Force Flight Dynamic Laboratory, Wright-Patterson Air Force Base, AFFDLTR-78-128 (1978).

    MATH  Google Scholar 

  • Hartigan J. A., Necessary and sufficient conditions for asymptotic joint normality of a statistic and its subsample values, Ann. Statist. 3 (1975) 573–580.

    MathSciNet  MATH  Google Scholar 

  • Harvey A. C., A comparison of preliminary estimators for robust regression, J. Amer. Statist. Ass. 72 (1977) 910–913.

    Article  MathSciNet  MATH  Google Scholar 

  • Henrici P., Applied and Computational Complex Analysis, Wiley, Vol. 1 (1974).

    MATH  Google Scholar 

  • Hettmansperger T. P. and Mc Kean J. W., A robust alternative based on ranks to least squares in analyzing linear models, Technometrics, 19 (1977) 275–284.

    Article  MathSciNet  MATH  Google Scholar 

  • Hiebert K. L., An evaluation of the mathematical software that solves non-linear least squares problems, ACM Trans. Math. Softw. 7 (1981) 1–16.

    Article  MATH  Google Scholar 

  • Hill R. W., Robust regression when there are outliers in the carriers, Ph. D. Dissertation, Harvard Univ., Boston (1977).

    Google Scholar 

  • Hill R. W., On estimating the covariance matrix of robust regression M estimates, Commun. Statist. A8 (1979) 1183–1196.

    Google Scholar 

  • Hill R. W. and Holland P. W., Two robust alternatives to least-squares regression, J. Amer. Statist. Ass. 72 (1977) 828–833.

    Article  MATH  Google Scholar 

  • Hinkley D. and Wang H. L., A trimmed jackknife, J. Roy. Statist. Soc. B-42 (1980) 347–356.

    MathSciNet  Google Scholar 

  • Hogg R. V., Adaptive robust procedures: A partial review and some suggestions for future applications and theory, J. Amer. Statist. Ass. 69 (1974) 909–927.

    Article  MathSciNet  MATH  Google Scholar 

  • Hogg R. V., Estimates of percentile regression lines using salary data, J. Amer. Statist. Ass. 70 (1975) 56–59.

    Article  Google Scholar 

  • Hogg R. V., Statistical robustness: One view of its use in applications today, Amer. Statistician, 33 (1979a) 108–115.

    Article  MathSciNet  MATH  Google Scholar 

  • Hogg R. V., An introduction to robust estimation, in Launer and Wilkinson (1979b) 1–17.

    Google Scholar 

  • Huber P. J., Robust estimation of a location parameter, Ann. Math. Statist. 35 (1964) 73–101.

    Article  MathSciNet  MATH  Google Scholar 

  • Huber P. J., Robust confidence limits, Z. Wahrscheinlichkeitstheorie verw. Geb. 10 (1968) 269–278.

    Article  MATH  Google Scholar 

  • Huber P. J., Théorie de l’inférence statistique robuste, Presses Univ., Montréal, (1969).

    MATH  Google Scholar 

  • Huber P. J., Studentizing robust estimates, in Puri (1970) 453–463.

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  • Huber P. J., Robust regression: asymptotics, conjectures and Monte Carlo, Ann. Statist. 1 (1973) 799–821.

    MATH  Google Scholar 

  • Huber P. J., Robust covariances, in Gupta and Moore (1977a) 165–191.

    Google Scholar 

  • Huber P. J., Robust methods of estimation of regression coefficients, Math. Operationsforsch. Statist. - Ser. Statist. 8 (1977b) 41–53.

    MathSciNet  MATH  Google Scholar 

  • Huber P. J., Robust Statistical Procedures, SIAM monograph, Philadelphia, 27 (1977c).

    MATH  Google Scholar 

  • Huber P. J., Robust Statistics, Wiley (1981).

    Book  MATH  Google Scholar 

  • Huber P. J., Minimax aspects of bounded-influence regression, J. Amer. Statist. Ass. 78 (1983) 66–80.

    Article  MATH  Google Scholar 

  • Huber P. J. and Dutter R., Numerical solution of robust regression problems, COMPSTAT 1974, (1974) 165–172.

    MathSciNet  Google Scholar 

  • Hwang S. Y., On monotonicity of Lp and lp norms, IEEE Trans. Electr. Acoust. Speech and Sign. Proc. ASSP-23 (1975) 593–594.

    Google Scholar 

  • I. S. I., Proc. 40th Session Int. Statist. Inst., Warsaw-1975, 4 books, Bull. Int. Statist. Inst., 46 (1975).

    Google Scholar 

  • I. S. I., Proc. 42th Session Int. Statist. Inst., Philippines-1979, 4 books, Bull. Int. Statist. Inst., 48 (1979).

    Google Scholar 

  • Jackson D., Note on the median of a set of numbers, Bull. Amer. Math. Soc. 27 (1921) 160–164.

    Article  MathSciNet  MATH  Google Scholar 

  • Jaeckel L. A., Robust estimates of location: Symmetry and asymmetric contamination, Ann. Math. Statist. 42 (1971) 1020–1034.

    Article  MathSciNet  MATH  Google Scholar 

  • Jaeckel L. A., The infinitesimal jackknife, Bell Tel. Labs, Memorandum MH-1215 (1972a).

    Google Scholar 

  • Jaeckel L. A., Estimating regression coefficients by minimizing the dispersion of residuals. Ann. Math. Statist. 43 (1972b) 1449–1458.

    Article  MathSciNet  MATH  Google Scholar 

  • James B. R. and James K. L., Analogues of R estimators for quantal bioassay, Stanford Univ., Stanford, Techn. Rept. 49 (1979).

    Google Scholar 

  • Jewett R. I. and Ronner A. E., Trimmed means and M estimates, Statistica Neerl. 35 (1981) 221–227.

    Article  MathSciNet  MATH  Google Scholar 

  • Johnson D. E., Mc Guire S. A. and Milliken G. A., Estimating σ2 in the presence of outliers, Technometrics, 20 (1978) 441–445.

    Article  MathSciNet  MATH  Google Scholar 

  • Johnson R. W., Axiomatic characterization of the directed divergences and their linear combinations, IEEE Trans. Inform. Theory, IT-25 (1979) 709–716.

    Article  Google Scholar 

  • Kanal L., Patterns in pattern recognition, IEEE Trans. Information Theory, IT-20 (1974) 697–722.

    Article  MathSciNet  Google Scholar 

  • Karamardian S. (Ed.), Fixed Points Algorithms and Applications, Academic Press (1977).

    MATH  Google Scholar 

  • Kellog R. B., Li T. Y. and Yorke J., A constructive proof of the Brouwer fixed point theorem and computational results, SIAM J. Numer. Anal. 13 (1976) 473–483.

    Article  MathSciNet  Google Scholar 

  • Kendall M. G. and Buckland W. R., A Dictionary of Statistical Terms (prepared for Int. Statist. Inst.), Oliver and Boyd, Edinburgh, 4th ed. (1981).

    Google Scholar 

  • Kersten P. and Kurz L., Robustized vector Robbins-Monro algorithm with applications to M interval detection, Information Sc. 11 (1976) 121–140.

    Article  Google Scholar 

  • Khatri C. G., Unified treatment of Cramer-Rao bound for the nonregular density functions, J. Statist. Plann. Inform. 4 (1980) 75–79.

    Article  MathSciNet  MATH  Google Scholar 

  • Klema V., Rosepack - Robust estimation package, ACM Signum letter, 13 (1978) 18–19.

    Article  Google Scholar 

  • Koenker R. And Bassett G., Regression quantiles, Econometrica, 46 (1978) 33–50.

    Article  MathSciNet  MATH  Google Scholar 

  • Komlos J., Major P. and Tusnady G., Weak convergence and embedding, in Revesz (1975) 149–165.

    Google Scholar 

  • Kozek A., Efficiency and Cramer-Rao type inequalities for convex loss functions, J. Multiv. Anal. 7 (1977) 89–106.

    Article  MathSciNet  MATH  Google Scholar 

  • Krasker W. S., Estimation in linear regression models with disparate data points, Econometrica, 48 (1980) 1333–1346.

    Article  MathSciNet  MATH  Google Scholar 

  • Krasker W. S. and Welsch R. E., Efficient bounded-influence regression estimation, J. Amer. Statist. Ass. 77 (1982) 595–604.

    Article  MathSciNet  MATH  Google Scholar 

  • Krishnaiah P. R. (Ed.), Multivariate Analysis, Academic Press, Vol. 1 (1966).

    MATH  Google Scholar 

  • Kubat P., Mean or median? (a note on an old problem), Statistica Neerlandica, 33 (1979) 191–196.

    Article  MathSciNet  MATH  Google Scholar 

  • Lachenbruck P. A., On expected probabilities of misclassiflcation in discriminant analysis, necessary sample size, and a relation with the multiple correlation coefficient, Biometrics, 24 (1968) 823–834.

    Article  Google Scholar 

  • Lambert D., Influence functions for testing, J. Amer. Statist. Ass. 76 (1981) 649–657.

    Article  MATH  Google Scholar 

  • Landers D. and Rogge L., On nonuniform gaussian approximation for random simulation, Preprints in Statistics, Univ. Cologne, 22 (1976).

    Google Scholar 

  • Launer R. L. and Wilkinson G. N. (Eds.), Robustness in Statistics, Academic Press (1979).

    MATH  Google Scholar 

  • Lenth R. V., A computational procedure for robust multiple regression, Univ. Iowa, Iowa City, Techn. Rept. 53 (1976).

    Google Scholar 

  • Leprêtre L., Lois limites du jackknife de statistiques associées à des fonctions dérivables au sens de von Mises, Rev. Statist. Appliquées, 27 (1979) 55–79.

    Google Scholar 

  • Lewis J. T. and Shisha O., Lp-convergence of monotone functions and their uniform convergence, J. Approxim. Theory, 14 (1975) 281–284.

    Article  MathSciNet  MATH  Google Scholar 

  • Major P., On the invariance principle for sums of independent identically distributed random variables, J. Multiv. Anal. 8 (1978) 487–517.

    Article  MathSciNet  MATH  Google Scholar 

  • Makhoul J., Linear prediction: A tutorial review, Proc. IEEE, 63 (1975) 693–708.

    Article  Google Scholar 

  • Malinvaud E., Statistical Methods of Econometrics, North-Holland, 2nd ed. (1970).

    MATH  Google Scholar 

  • Mallows C. L., On some topics in robustness, I. M. S. meeting, Rochester (1975).

    Google Scholar 

  • Marcus A. H. and Woo J., Robust estimates of reliability in small samples: Part 1, theory, Washington State University, Pullman (1979).

    Google Scholar 

  • Maritz J. S., A note on exact robust confidence intervals for location, Biometrika, 66 (1979) 163–166.

    Article  MathSciNet  MATH  Google Scholar 

  • Maritz J. S. and Jarrett R. G., A note on estimating the variance of the sample median, J. Amer. Statist. Ass. 73 (1978) 194–196.

    Article  Google Scholar 

  • Maronna R. A., Robust M estimators of multivariate location and scatter, Ann. Statist. 4 (1976) 51–67.

    Article  MathSciNet  MATH  Google Scholar 

  • Maronna R., Bustos O. and Yohai V., Bias- and efficiency-robustness of general M estimator for regression with random carriers, in Gasser and Rosenblatt (1979) 91–116.

    Google Scholar 

  • Martin R. D., Approximate conditional-mean type smoothers and interpolators, in Gasser and Rosenblatt (1979) 117–143.

    Google Scholar 

  • Mason D. M., Asymptotic normality of linear combinations of order statistics with a smooth score function, Ann. Statist. 9 (1981) 899–908.

    Article  MathSciNet  MATH  Google Scholar 

  • Masreliez C. J. and Martin R. D., Robust bayesian estimation for the linear model and robustifying the Kaiman filter, IEEE Trans. Autom. Control, AC-22 (1977) 361–371.

    Article  MathSciNet  Google Scholar 

  • Mc Kean J. W. and Sehrader R. M., The geometry of robust procedures in linear models, J. Roy. Statist. Soc. B-42 (1980) 366–371.

    Google Scholar 

  • Mead R. and Pike D. J., A review of response surface methodology from abiometric viewpoint, Biometrics, 31 (1975) 803–851.

    Article  MATH  Google Scholar 

  • Merle G. and Spath H., Computational experiences with discrete Lp approximation, Computing, 12 (1974) 315–321.

    Article  MathSciNet  MATH  Google Scholar 

  • Merriam-Webster A., Webster’s New Ideal Dictionary, G. and C. Merriam Cy., Publishers, Springfield, Mass.

    Google Scholar 

  • Miké V., Robust Pitman-type estimators of location, Ann. Inst. Statist. Math. 25 (1973) 65–86.

    Article  MathSciNet  MATH  Google Scholar 

  • Miller R. G., The Jackknife: A review, Biometrika, 61 (1974) 1–15.

    MathSciNet  MATH  Google Scholar 

  • Miller R. G. and Halpern J. W., Robust estimators for quantal bioassay, Biometrika, 67 (1980) 103–110.

    Article  MathSciNet  MATH  Google Scholar 

  • Moberg T. F., Ramberg J. S. and Randles R. H., An adaptive multiple regression procedure based on M estimators, Technometrics, 22 (1980) 213–224.

    Article  MATH  Google Scholar 

  • Morineau A., Régressions robustes, méthodes d’ajustement et de validation, Rev. de Statist. Appl. 26 (1978) 5–28.

    Google Scholar 

  • Mosteller F., The jackknife, Rev. Int. Statist. Inst. 39 (1971) 363–368.

    Article  Google Scholar 

  • Mosteller F., Rourke R. E. K. and Thomas G. B., Probability with Statistical Applications, Addison-Wesley, 2nd ed. (1970).

    MATH  Google Scholar 

  • Munster M., Théorie générale de la mesure et de l’intégration, Bull. Soc. Roy. Sc. Liège, 43 (1974) 526–567.

    MathSciNet  MATH  Google Scholar 

  • Nakajima F. and Kozin F., A characterization of consistent estimators, IEEE Trans. Autom. Contr. AC-24 (1979) 758–765.

    Article  MathSciNet  Google Scholar 

  • N. C. H. S., Annotated bibliography on robustness studies of statistical procedures, U. S. Dept. Health Educ. Welf., Publication (HSM) 72–1051 (1972).

    Google Scholar 

  • Nelson W., Theory and applications of hazard plotting for censored failure data, Technometrics, 14 (1972) 945–966.

    Article  Google Scholar 

  • Nevel’son M. B., On the properties of the recursive estimates for a functional of an unknown distribution function, in Revesz (1975) 227–251.

    Google Scholar 

  • Nirenberg L., Variational and topological methods in nonlinear problems, Bull. Amer. Math. Soc. 4 (1981) 267–302.

    Article  MathSciNet  MATH  Google Scholar 

  • Olkin I. (Ed.), Contributions to Probability and Statistics, Stanford Univ. Press, (1960).

    MATH  Google Scholar 

  • Ortega J. M. and Rheinboldt W. C., Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, (1970).

    MATH  Google Scholar 

  • Papantoni-Kazakos P., Robustness in parameter estimation, IEEE Trans. Information Theory, IT-23 (1977) 223–231.

    Article  MathSciNet  Google Scholar 

  • Papantoni-Kazakos P., The Vasershtein distance as the stability criterion in robust estimation, IEEE Trans. Inform. Theory, IT-26 (1980) 620–625.

    Article  MathSciNet  Google Scholar 

  • Papantoni-Kazakos P. and Kazakos D., Nonparametric Methods in Communication, Electrical Engineering and Electronics, Marcel Dekker, (1977).

    Google Scholar 

  • Parr W. C. and Schucany W. R., The jackknife bibliography, Int. Statist. Rev. 48 (1980) 73–78.

    MathSciNet  MATH  Google Scholar 

  • Parr W. C. and Schucany W. R., Jackkniflng L statistics with smooth weight functions, J. Amer. Statist. Ass. 77 (1982) 629–638.

    Article  MATH  Google Scholar 

  • Pitman E. J. G., The estimation of location and scale parameters of a continuous population of any given form. Biometrika, 30 (1939) 391–421.

    MATH  Google Scholar 

  • Poincare H., Calcul des Probabilités, Gauthier-Villars, (1912).

    MATH  Google Scholar 

  • Price E. L. and Vandelinde V. D., Robust estimation using the Robbins-Monro stochastic approximation algorithm, IEEE Trans. Information Theory, IT-25 (1979) 698–704.

    Article  MathSciNet  Google Scholar 

  • Prokhorov Y. V., Convergence of random processes and limit theorems in probability theory, Theory of Probab. Appl. 1 (1956) 157–214.

    Article  Google Scholar 

  • Puri M. L. (Ed.), Nonparametric Techniques in Statistical Inferences, Cambridge Univ. Press, (1970).

    Google Scholar 

  • Quenouille M. H., Notes on bias in estimation, Biometrika, 43 (1956) 353–360.

    MathSciNet  MATH  Google Scholar 

  • Ralston M. L. and Jennrich R. I., DUD, a derivative-free algorithm for nonlinear least-squares, Technometrics, 20 (1978) 7–14.

    Article  MATH  Google Scholar 

  • Ramsay J. O., A comparative study of several robust estimates of slope, intercept and scale in linear regression, J. Amer. Statist. Ass. 72 (1977) 608–615.

    Article  MATH  Google Scholar 

  • Ramsey J. B., Nonlinear estimation and asymptotic approximations, Econometrica, 46 (1978) 901–929.

    Article  MathSciNet  MATH  Google Scholar 

  • Reeds J. A., On the definition of von Mises functionals, Ph. D. Dissertation, Harvard Univ., Boston (1976).

    Google Scholar 

  • Reeds J. A., Jackknifing maximum likelihood estimates, Ann. Statist. 6 (1978) 427–439.

    Article  MathSciNet  Google Scholar 

  • Reid N., Influence functions for censored data, Ann. Statist. 9 (1981a) 78–92.

    Article  MathSciNet  MATH  Google Scholar 

  • Reid N., Estimating the median survival time, Biometrika, 68 (1981) 601–608.

    Article  MathSciNet  MATH  Google Scholar 

  • Relies D. A. and Rogers W. H., Statisticians are fairly robust estimators of location, J. Amer. Statist. Ass. 72 (1977) 107–111.

    Article  Google Scholar 

  • Revesz P. (Ed.), Limit Theorems of Probability Theory, North-Holland, (1975).

    MATH  Google Scholar 

  • Rey W., Robust estimates of quantiles, location and scale in time series, Philips Res. Rept, 29 (1974) 67–92.

    Google Scholar 

  • Rey W., On least pth power methods in multiple regressions and location estimations, BIT, 15 (1975a) 174–184.

    Article  MathSciNet  MATH  Google Scholar 

  • Rey W., Mean life estimation from censored samples, Biométrie-Praximétrie 15 (1975b) 145–159.

    MathSciNet  Google Scholar 

  • Rey W., M estimators in robust regression : A case study, in Barra et al. (1977) 591–594.

    Google Scholar 

  • Rey W. J. J., Robust Statistical Methods, Lecture Notes in Mathematics, Springer-Verlag, 690 (1978).

    Google Scholar 

  • Rey W. J. J., Robust estimation in descriptive statistics, MBLE Res. Lab., Brussels, R-385 (1979).

    Google Scholar 

  • Richardson G. D., Applications of convergence spaces, Bull. Austral. Math. Soc. 21 (1980) 107–123.

    Article  MathSciNet  MATH  Google Scholar 

  • Rieder H., Estimates derived from robust tests, Ann. Statist. 8 (1980) 106–115.

    Article  MathSciNet  MATH  Google Scholar 

  • Rizzi A. (Edt.), Monte Carlo Studies on Robustness, CISU, Rome.

    Google Scholar 

  • Robertucci M. L., Bibliography, in Rizzi, (1980) 143–163.

    Google Scholar 

  • Robinson G. K., Conditional properties of statistical procedures for location and scale parameters, Ann. Statist. 7 (1979) 756–771.

    Article  MathSciNet  MATH  Google Scholar 

  • Rocke D. M. and Downs G. W., Estimating the variances of robust estimators of location: influence curve, jackknife, and bootstrap, Commun. Statist. - Simula. Computa. B-10 (1981) 221–248.

    Article  Google Scholar 

  • Rocke D. M., Downs G. W. and Rocke A. J., Are robust estimators really necessary? Technometries, 24 (1982) 95–101.

    Article  MATH  Google Scholar 

  • Ronchetti E., Robust Testing in linear Models: the infinitesimal Approach, Doctoral Thesis, ETH, Zurich (1982).

    Google Scholar 

  • Ronner A. E., P-norm estimators in a linear regression model, Ph. D. Dissertation, Groningen Univ., Groningen (1977).

    Google Scholar 

  • Ross G. J., The efficient use of function minimization in non-linear maximum likelihood estimation, Appl. Statist. 19 (1970) 205–221.

    Article  Google Scholar 

  • Ross G. J. S., Exact and approximate confidence regions for functions of parameters in non-linear models, COMPSTAT 1978, (1978) 110–116.

    Google Scholar 

  • Ross G. J. S., Uses of non-linear transformation in non-linear optimization problems, COMPSTAT 1980, (1980) 382–388.

    Google Scholar 

  • Rousseeuw P. J. and Ronchetti E., The influence curve for tests, E. T. H. Zurich, Res. Rept. 21 (1979).

    Google Scholar 

  • Rousseeuw P. J. and Ronchetti E., Influence curves of general statistics, J. Comp. Appl. Math. 5 (1981) 161–166.

    Article  MathSciNet  Google Scholar 

  • Rubin D. B., The bayesian bootstrap, Ann. Statist. 9. (1981) 130–134.

    Article  MathSciNet  Google Scholar 

  • Runnenburg J. T., Mean, median, mode, Statistica Neerl. 32 (1978) 1–5.

    Article  MathSciNet  Google Scholar 

  • Ruppert D. and Carroll R. J., Robust regression by trimmed least-squares estimation, Univ. North Carolina, Chapel Hill, 1186 (1978).

    Google Scholar 

  • Ruppert D. and Carroll R. J., Trimming the least squares estimator in the linear model by using a preliminary estimator, Univ. North Carolina, Chapel Hill, 1220 (1979a).

    Google Scholar 

  • Ruppert D. and Carroll R. J., M estimates for the heteroscedastic linear model, Univ. North Carolina, Chapel Hill, 1243 (1979b).

    Google Scholar 

  • Ruppert D. and Carroll R.J., On Bickel’s tests for heteroscedasticity, Univ. North Carolina, Chapel Hill, 1244 (1979c).

    Google Scholar 

  • Ruppert D. and Carroll R. J., Trimmed least squares estimation in the linear model, Univ. North Carolina, Chapel Hill, 1270 (1980).

    Google Scholar 

  • Safanov M. G. and Athans M., Robustness and computational aspects of nonlinear stochastic estimators and regulators, IEEE Trans. Autom. Contr. AC-23 (1978) 717–725.

    Article  Google Scholar 

  • Scarf H., The Computation of Economic Equilibria, Yale Univ. Press, (1973).

    MATH  Google Scholar 

  • Schaefer M., Note on the k-dimensional Jensen inequality, Ann. Probab. 4 (1976) 502–504.

    Article  MathSciNet  MATH  Google Scholar 

  • Schoenhage A., Paterson M. and Pippenger N., Finding the median, J. Computer Syst. Sc. 13 (1976) 184–199.

    Article  MATH  Google Scholar 

  • Schrader R. M. and Hettmansperger T. P., Robust analysis of variance based upon the likelihood ratio criterion, Biometrika, 67 (1980) 93–101.

    Article  MathSciNet  MATH  Google Scholar 

  • Schucany W. R., Gray H. L. and Owen D. B., On bias reduction in estimation, J. Amer. Statist. Ass. 66 (1971) 524–553.

    Article  MATH  Google Scholar 

  • Sen P. K., Some invariance principles relating to jackknifing and their role in sequential analysis, Ann, Statist. 5 (1977) 316–329.

    Article  MathSciNet  MATH  Google Scholar 

  • Sharot T., The generalized jackknife : finite samples and subsample sizes, J. Amer. Statist. Ass. 71 (1976a) 451–454.

    Article  MathSciNet  MATH  Google Scholar 

  • Sharot T., Sharpening the jackknife, Biometrika, 63 (1976b) 315–321.

    Article  MATH  Google Scholar 

  • Shorack R., Robust studentization of location estimates, Statistica Neerlandica, 30 (1976) 119–141.

    Article  MathSciNet  MATH  Google Scholar 

  • Singh K, On the asymptotic accuracy of Efron’s bootstrap, Ann. Statist. 9 (1981) 1187–1195.

    Article  MathSciNet  MATH  Google Scholar 

  • Smith V. K., A simulation analysis of the power of several tests for detecting heavytailed distributions, J. Amer. Statist. Ass. 70 (1976) 662–665.

    Article  Google Scholar 

  • Stavig G. R. and Gibbons I. D., Comparing the mean and the median as measures of centrality, Int. Statist. Rev. 45 (1977) 63–70.

    Article  MATH  Google Scholar 

  • Stigler S. M., Simon Newcomb, Percy Daniell and the history of robust estimation: 1895–1920, J. Amer. Statist. Ass. 68 (1973) 872–879.

    Article  MathSciNet  MATH  Google Scholar 

  • Stigler S. M., Do robust estimators work with real data? Ann. Statist. 5 (1977) 1055–1098.

    Article  MathSciNet  MATH  Google Scholar 

  • Swaminathan S. (Ed.), Fixed point theory and its applications, Academic Press (1976).

    MATH  Google Scholar 

  • Sweeting T. J., Speeds of convergence and asymptotic expansions in the central limit theorem: A treatment by operators, Ann. Prob. 8 (1980) 281–297.

    Article  MathSciNet  MATH  Google Scholar 

  • Takeuchi K., A survey of robust estimation of location: Models and procedures, especially in case of measurement of a physical quantity, in I.S. I., 1 (1975) 336–348.

    Google Scholar 

  • Thorburn D., Some asymptotic properties of jackknife statistics, Biometrika, 63 (1976) 305–313.

    Article  MathSciNet  MATH  Google Scholar 

  • Thucydides, History of the Peloponnesian War, 3 (428 B. C.) §20, in Eisenhart (1971).

    Google Scholar 

  • Tollet I. H., Robust forecasting for the linear model with emphasis on robustness toward occasional outliers, IEEE Int. Conf. Cybernetics and Society, Washington (1976) 600–605.

    Google Scholar 

  • Todd M. J., The Computation of Fixed Points and Applications, Lecture Notes Econ. Math. Syst., Springer Verlag, 124 (1976).

    Google Scholar 

  • Tukey J. W., Bias and confidence in not-quite large samples (abstract), Ann. Math. Statist. 29 (1958) 614.

    Article  Google Scholar 

  • Tukey J. W., A survey of sampling from contaminated distributions, in Olkin (1960) 448–485.

    Google Scholar 

  • Tukey J. W., Exploratory Data Analysis, Addison-Wesley Publ. Cy., (1977).

    MATH  Google Scholar 

  • Velleman P. F. and Ypelaar M. A., Constructing regressions with controlled features: A method for probing regression performance, J. Amer. Statist. Ass. 75 (1980) 839–844.

    Article  MathSciNet  Google Scholar 

  • von Mises R., On the asymptotic distribution of differentiable statistical functions. Ann. Math. Statist. 18 (1947) 309–348.

    Article  MATH  Google Scholar 

  • von Weber S., A shortened method for the calculation of ranks, Biom. J. 19 (1977) 275–281.

    Article  MATH  Google Scholar 

  • Wahrendorf J., The application of robust non-linear regression methods for fitting hyperbolic Scatchard plots, Int. J. Bio-Medical Computing, 10 (1979) 75–87.

    Article  Google Scholar 

  • Wahrendorf J. and Brown C. C., A basic inequality in the analysis of the joint action of two drugs, Biometrics, 36 (1980) 653–657.

    Article  Google Scholar 

  • Walker A. M., On the classical Bonferroni inequalities and the corresponding Galambos inequalities, J. Appl. Prob. 18 (1981) 757–763.

    Article  MATH  Google Scholar 

  • Walley P. and Fine T. L., Towards a frequentist theory of upper and lower probability, Ann. Statist. 10 (1982) 741–761.

    Article  MathSciNet  MATH  Google Scholar 

  • Wampler R. H., Solutions to weighted least squares problems by modified Gram-Schmidt with iterative refinements, ACM Trans. Math. Softw. 5 (1979) 457–465.

    Article  MATH  Google Scholar 

  • Weber H. and Werner W., On the accurate determination of nonisolated solutions of nonlinear equations, Computing, 26 (1981) 315–326.

    Article  MathSciNet  MATH  Google Scholar 

  • Welsch R. E., Robust and bounded-influence regression, in I. S. I. 2 (1979) 59–68.

    MathSciNet  Google Scholar 

  • Wold H. (Ed.), The Fix-Point Approach to Interdependent Systems, North-Holland, (1981).

    MATH  Google Scholar 

  • Wolfe J. M., On the convergence of an algorithm for discrete Lp approximation, Num. Math. 32 (1979) 439–459.

    Article  MathSciNet  MATH  Google Scholar 

  • Woodruff R. S. and Causey B. D., Computerized method for approximating the variance of a complicated estimate, J. Amer. Statist. Ass. 71 (1976) 315–321.

    Article  MATH  Google Scholar 

  • Wretman J., A simple derivation of the asymptotic distribution of a sample quantile, Scand. J. Statist. 5 (1978) 123–124.

    MathSciNet  MATH  Google Scholar 

  • Yale C. and Forsythe A. B., Winsorized regression, Technometrics, 18 (1976) 291–300.

    Article  MATH  Google Scholar 

  • Yohai V. J., Robust estimation in the linear model, Ann. Statist. 2 (1974) 562–567.

    Article  MathSciNet  MATH  Google Scholar 

  • Yohai V. J. and Maronna R. A., Asymptotic behavior of general M estimates for regression and scale with random carriers, Ann. Statist. 7 (1979) 258–268.

    Article  MathSciNet  MATH  Google Scholar 

  • Youden W. J., Enduring values, Technometries, 14 (1972) 1–11.

    Article  Google Scholar 

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Rey, W.J.J. (1983). References. In: Introduction to Robust and Quasi-Robust Statistical Methods. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69389-2_12

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  • DOI: https://doi.org/10.1007/978-3-642-69389-2_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12866-3

  • Online ISBN: 978-3-642-69389-2

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