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Stochastic Water Resources Technology pp 346–376Cite as

Palgrave Macmillan

Applied decision theory

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Abstract

The design and operation of water resource systems are affected to a great extent by the uncertainty of future events, as stressed throughout this text. In spite of the immense variability in the states of nature which have to be coped with and the limited information available, the engineer is called upon to make decisions and to take appropriate actions. Decision theory attempts to provide, for a large body of applied scientists and managers, a systematic approach to the statistical problems involved.

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References

  • Aitchison, J. (1970). Choice Against Chance, Addison-Wesley, Reading, Massachusetts

    Google Scholar 

  • Anderson, J. C., Hiskey, H. H., and Lackawathana, S. (1971). Application of statistical decision theory to water use analysis in Sevier County, Utah. Water Resour. Res., 7, 443–52

    Article  Google Scholar 

  • Arrow, K. J. (1970). Essays in the Theory of Risk-Bearing, North-Holland, Amsterdam

    Google Scholar 

  • Aykaç, A., and Brumat, C. (eds) (1977). New Developments in the Applications of Bayesian Methods, North-Holland, Amsterdam

    Google Scholar 

  • Barnard, G. A. (1970). Essay towards solving a problem in the doctrine of chances by Thomas Bayes. Studies in the History of Statistics and Probability (eds E. S. Pearson and M. G. Kendall), Griffin, London, pp. 131–53; Biometrika, 45 (1958), 296–315

    Google Scholar 

  • Behnken, D. W., and Watts, D. G. (1972).Bayesian estimation and design of experiments for growth rates, with applications to measuring water quality. Proceedings of the International Symposium on Uncertainties in Hydrologic and Water Resource Systems vol. 1University of Arizona, Tucson, 11–14 December 1972 pp. 2–15

    Google Scholar 

  • Benjamin, J. R., and Cornell, C. (1970).Probability, Statistics and Decision for Civil Engineers, McGraw-Hill, New York

    Google Scholar 

  • Bernier, J. (1967). Les methodes bayesiennes en hydrologie statistique. Proceedings of the 1st International Hydrology Symposium, vol. 1, Fort Collins, Colorado, pp. 459–70

    Google Scholar 

  • Bodo, B., and Unny, T. E. (1976). Model uncertainty in flood frequency analysis and frequency-based design. Water Resour. Res., 12, 1109–17

    Article  Google Scholar 

  • Box, G. E., and Jenkins, G. M. (1976). Time Series Analysis: Forecasting and Control, revised edn, Holden Day, San Francisco, California

    Google Scholar 

  • Bradley, J. V. (1976). Probability; Decision; Statistics, Prentice-Hall, Englewood Cliffs, New Jersey

    Google Scholar 

  • Broadbent, D. E. (1973). In Defence of Empirical Psychology Methuen, London

    Google Scholar 

  • Bross, I. D. J. (1953). Design for Decision, The Macmillan Company, New York

    Google Scholar 

  • Cavadias, G. (1967). Decision on basic statistical concepts. Proceedings of the 5th Hydrology Symposium, McGill University, 1966, Queen’s Printer, Ottawa, pp. 29–34

    Google Scholar 

  • Cavadias, G. (1972). Comments on `Applications of statistical decision theory to water use analysis in Sevier County, Utah’ by J. C. Anderson, H. H. Hiskey and S. Lackawathana. Water Resour. Res., 8, 746

    Article  Google Scholar 

  • Conover, W. J. (1971). Introduction to bayesian methods using the Thomas Fiering model. Water Resour. Res., 7, 406–9

    Article  Google Scholar 

  • Coombs, C. H., and Beardslee, D. (1954). On decision making under uncertainty. Decision Processes (eds R. M. Thrall, C. H. Coombs and R. L. Davis), Wiley, New York, chapter 17

    Google Scholar 

  • Cornfield, J. (1967). Bayes theorem. Rev. Int. Statist. Inst., 35, 34–49

    Article  Google Scholar 

  • Cunnane, C., and Nash, J. E. (1974). Bayesian estimation of frequency of hydrologic events. Proceedings of the 1971 Warsaw Symposium on Mathematical Models in Hydrology, vol. 1, International Association of Scientific Hydrology, Paris, pp. 47–55

    Google Scholar 

  • Davis, D. R. (1971). Decision making under uncertainty in systems hydrology. Univ. Arizona, Tucson, Arizona., Tech. Rep., No. 2

    Google Scholar 

  • Davis, D. R., Duckstein, L., and Kisiel, C. C. (1972c). Comments on ‘Value of streamflow data for project design—a pilot study’ by D. R. Dawdy, H. E. Hubik and E. R. Close. Water Resour. Res., 8, 173

    Article  Google Scholar 

  • Davis, D. R., Duckstein, L., Kisiel, C. C., and Fogel, M. (1972a). Uncertainty in the return period of maximum events: a bayesian approach. Proceedings of the International Symposium on Uncertainties in Hydrologic and Water Resource Systems, vol. 2, 11–14 December 1972, University of Arizona, Tucson, pp. 853–62

    Google Scholar 

  • Davis, D. R., and Dvoranchik, W. M. (1971), Evaluation of the worth of additional data. Water Resour. Bull., 7, 700–7

    Article  Google Scholar 

  • Davis, D. R., Kisiel, C. C., and Duckstein, L. (1972b). Bayesian decision theory applied to design in hydrology. Water Resour. Res., 8, 33–41

    Article  Google Scholar 

  • Dawdy, D. R., Kubik, H. E., and Close, E. R. (1970). Value of streamflow data for project design—a pilot study. Water Resour. Res., 6, 1045–50

    Article  Google Scholar 

  • DeGroot, M. H. (1970). Optimal Statistical Decisions, McGraw-Hill, NewYork

    Google Scholar 

  • Duckstein, L., and Bogardi, I. (1975). Discussion on ‘Use of decision theory in reservoir operation’ by S. Russell. J. Hydraul. Div., Am. Soc. Civ. Eng., 101 (HY3), 558–60

    Google Scholar 

  • Duckstein, L., Szidarovszky, F., and Yakowitz, S. (1977). Bayes design of a reservoir under random sediment yield. Water Resour. Res., 13, 713–19

    Article  Google Scholar 

  • Edwards, W., and Tversky, A. (eds) (1967). Decision Making, Penguin Books, Harmondsworth, Middlesex

    Google Scholar 

  • Encyclopaedia Britannica (1977), vol. 11, 15th edn, William Benton, Chicago, pp. 666–70

    Google Scholar 

  • Epstein, E. S. (1962). A bayesian approach to decision making in applied meteorology. J. Appl. Meteorol., 1, 169–77

    Article  Google Scholar 

  • Ferguson, T. (1967). Mathematical Statistics: A Decision Theoretic Approach, Academic Press, New York

    Google Scholar 

  • de Finetti, B. (1972). Probability, Induction and Statistics, Wiley, London

    Google Scholar 

  • Fishburn, P. C. (1966). Decision under uncertainty: an introductory exposition. J. Ind. Eng., 17, 341–53

    Google Scholar 

  • Fisher, R. A. (1966). The Design of Experiments, 8th edn, Oliver and Boyd, Edinburgh

    Google Scholar 

  • Glahn, H. R. (1964). The use of decision theory in meteorology. Mon. Weath. Rev., 92, 383–8

    Article  Google Scholar 

  • Gnedenko, B. V. (1968). The Theory of Probability (translated from Russian by B. D. Seckler), 4th edn, Chelsea, New York

    Google Scholar 

  • Good, I. J. (1950). Probability and the Weighting of Evidence, Griffin, London.

    Google Scholar 

  • Good, I. J. (1959). Kinds of probability. Science, 129, 443–7

    Article  Google Scholar 

  • Good, I. J. (1962). The Scientist Speculates, Heineman, London

    Google Scholar 

  • Halter, A., and Dean, C. (1971). Decisions under Uncertainty with Research Applications, Southwestern Publishing, Cincinnati, Ohio

    Google Scholar 

  • Hartley, H. O. (1963). In Dr Bayes’ consulting room. Am. Statist., 17, 22–4

    Google Scholar 

  • Hillier, F. S., and Lieberman, G. J. (1974). Operations Research, 2nd edn, Holden Day, San Francisco, California

    Google Scholar 

  • Jeffreys, H. (1961). Theory of Probability, 3rd edn, Clarendon Press, Oxford

    Google Scholar 

  • Kendall, M. G. (1949). On the reconcilation of theories of probability. Biometrika, 36, 101–16

    Article  Google Scholar 

  • Keynes, J. M. (1973). A treatise on probability (with minor corrections) by The Royal Economics Society. The Collected Works of John Maynard Keynes, vol. 8, Macmillan, London

    Google Scholar 

  • Kuiper, E. (1971). Water Resources Project Economics, Butterworth, London

    Google Scholar 

  • Kyburg, H. E., Jr. (1966). Probability and decision. Philos. Sci., 33, 250–61

    Article  Google Scholar 

  • Kyburg, H. E., Jr., and Smokler, H. E. (eds) (1964). Studies in Subjective Probability, Wiley, New York

    Google Scholar 

  • Lee, S. M. and Moore, L. J. (1975). Introduction to Decision Science, Petrocelli–Charter, New York

    Google Scholar 

  • Lenton, R. L., Rodriguez-Iturbe, I., and Schaake, J. C., Jr. (1974). The estimation of p in the first order autoregressive model: a bayesian approach. Water Resour. Res., 10, 227–41

    Article  Google Scholar 

  • Levi, I. (1967). Gambling with Truth, Massachusetts Institute of Technology Press, Cambridge, Massachusetts

    Google Scholar 

  • Lindley, D. V. (1970). Making Decisions, Wiley, New York

    Google Scholar 

  • Luce, R. D., and Raiffa, H. (1957). Games and Decisions, Wiley, New York

    Google Scholar 

  • McGilchrist, C. A., Chapman, T. G., and Woodyer, K. D. (1970). Recurrence intervals between exceedances of selected river levels, 3, estimation and use of prior distribution. Water Resour. Res., 6, 499–504

    Article  Google Scholar 

  • Maistrov, L. E. (1974). Probability Theory—A Historical Sketch (translated and edited by S. Kotz), Academic Press, New York

    Google Scholar 

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

    Google Scholar 

  • Meredith, D. D., Wong, K. W., Woodhead, R. W., and Workman, R. H. (1973). Design and Planning of Engineering Systems, Prentice-Hall, Englewood Cliffs, New Jersey

    Google Scholar 

  • von Mises, R. (1942). On the correct use of Bays’ formula. Ann. Math. Statis., 13, 156–65

    Article  Google Scholar 

  • Moore, S. F., and Brewer, J. W. (1972). Environmental control systems: treatment of uncertainty in models and data. Proceedings of the International Symposium on Uncertainties in Hydrologic and Water Resource Systems, vol. 1, 11–14 December 1972, University of Arizona, Tucson, pp. 16–30

    Google Scholar 

  • de Neufville, R., and Stafford, J. H. (1971). Systems Analysis for Engineers and Managers, McGraw-Hill, New York

    Google Scholar 

  • von Neumann, J., and Morgenstern, O. (1953). Theory of Games and Economic Behaviour, 3rd edn, Princeton University Press, Princeton, New Jersey

    Google Scholar 

  • Paintal, A. S. (1972). Stochastic model of flood risk evaluation. Floods and Droughts. Proceedings of the 2nd International Hydrology Symposium, Fort Collins, Colorado, pp. 343–8

    Google Scholar 

  • Raiffa, H., and Schlaifer, R. (1961). Applied Statistical Decision Theory, Harvard University Press, Boston, Massachusetts

    Google Scholar 

  • Ramsey, F. P. (1931). Truth and probability. The Foundations of Mathematics and Other Logical Essays by F. P. Ramsey, Harcourt, New York

    Google Scholar 

  • Ramsey, F. P. (1966). Truth and probability. Studies in Subjective Probability (eds H. E.Kyburg, Jr., and H. E. Smokler), Wiley, New York, chapter 3

    Google Scholar 

  • Rényi, A. (1972). Letters on Probability, Wayne State University Press, Detroit, Michigan

    Google Scholar 

  • Riggs, J. L. (1968). Economic Decision Models for Engineers and Managers, McGraw-Hill, New York

    Google Scholar 

  • Rose, L. M. (1976). Engineering Investment Decisions, Planning under Uncertainty, Elsevier, Amsterdam

    Google Scholar 

  • Russell, S. O. (1974). Use of decision theory in reservoir operation. J. Hydraul. Div., Am. Soc. Civ. Eng., 100 (HY6), 809–17

    Google Scholar 

  • Savage, L. J. (1954). The Foundations of Statistics, Wiley, New York

    Google Scholar 

  • Savage, L. J., et al. (1962). The Foundations of Statistical Inference, Methuen, London

    Google Scholar 

  • Schane, R. M., and Gaver, D. P. (1970). Statistical decision theory techniques for the revision of mean flood flow regression estimates. Water Resour. Res., 6, 1649–54

    Article  Google Scholar 

  • Schlaifer, R. (1971). Computer Programs for Elementary Decision Analysis, Harvard University Press, Boston, Massachusetts

    Google Scholar 

  • Schmitt, S. A. (1969). Measuring Uncertainty, An Elementary Introduction to Bayesian Statistics, Addision-Wesley, Reading, Massachusetts

    Google Scholar 

  • Shen, S. W. (ed.) (1976). Stochastic Approaches to Water Resources, Water Resources Publications, Fort Collins, Colorado

    Google Scholar 

  • Siddall, J. N. (1972). Analytical Decision-Making in Engineering Design, Prentice-Hall, Englewood Cliffs, New Jersey

    Google Scholar 

  • Sobel, M. J. (1975). Reservoir management models. Water Resour. Res., 11, 767–76

    Article  Google Scholar 

  • Thomas, H. A., Jr. (1948). Frequency of minor floods. J. Boston Soc. Civ. Eng., 35, 425–42

    Google Scholar 

  • Tiao, G. C., and Box, G. E. P. (1973). Some comments on ‘Bayes’ estimators. Am. Statist., 27, 12–14

    Google Scholar 

  • Thuesen, H. G., Fabrycky, W. J., and Thuesen, G. J. (1977). Engineering Economy, 5th edn, Prentice-Hall, Englewood Cliffs, New Jersey

    Google Scholar 

  • Tribus, M. (1969). Rational Descriptions, Decisions and Designs Pergamon,New York

    Google Scholar 

  • Vicens, G. J., Rodriguez-Iturbe, I., and Schaake, J. C., Jr. (1975). Bayesian generation of synthetic streamflows. Water Resour. Res., 11, 827–38

    Article  Google Scholar 

  • Wald, A. (1950). Statistical Decision Functions, Wiley, New York

    Google Scholar 

  • White, D. J. (1976). Fundamentals of Decision Theory, North-Holland, New York

    Google Scholar 

  • Winkler, R. A. (1972). An Introduction to Bayesian Inference and Decision, Holt, Rinehart and Winston, New York

    Google Scholar 

  • Wonnacott, T. H., and Wonnacott, R. J. (1972). Introductory Statistics for Business and Economics, 2nd edn, Wiley, New York

    Google Scholar 

  • Wood, E. F. (1973). Flood control design with limited data—comparison of classical and bayesian approaches. Design of Water Resources Projects with Inadequate Data, Symposium, Madrid, Int. Assoc. Sci. Hydrol, Publ., No. 108 1974, vol. 1, pp. 31–46.

    Google Scholar 

  • Yakowitz, S., Duckstein, L., and Kisiel, C. (1974). Decision analysis of a gamma hydrologic variate. Water Resour. Res., 10, 695–704

    Article  Google Scholar 

  • Zenner, A. (1971). An Introduction to Bayesian Inference in Econometrics, Wiley, New York

    Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, University of Birmingham, UK

    N. T. Kottegoda

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© 1980 N. T. Kottegoda

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Kottegoda, N.T. (1980). Applied decision theory. In: Stochastic Water Resources Technology. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-03467-3_9

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