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The application of decision theory of probability to a simple inventory problem

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  1. (1)

    Journal paper of the Agricultural Experiment Station, Ames, Iowa. Project No. 1200.

  2. (2)

    J. F. McCloskev andF. N. Treffethen: Operations Research for Management. Baltimore, Johns Hopkins Press 1954, G. W. King: Applied Mathematics in Operations Research: The inventory problem, in E. F. Beckenbach ed. Modern Mathematics for the Engineer, New York: McGraw Hill 1956, pp. 227 ff. C. W. Churchman, R. L. Ackoff, E. L. Arnoff: Introduction to Operations Research, New York, Wiley 1957, pp. 199 ff.

  3. (3)

    R. Duncan Luce andRaiffa: Games and Decisions, New York, Wiley 1957, pp. 20 ff.

  4. (4)

    J. Marschak: Why «should» statisticians and business men maximize moral expectation, in J. Neyman, ed. Second Berkeley Symposium in Mathematical Statistics, Berkeley: University of California Press 1951, pp. 00 ff.

  5. (5)

    G. Tintner: A contribution to the nonstatic theory of choice, Quarterly Journal of Economics, Vol. 56, 1942, pp. 274 ff.

  6. (6)

    N. Georgescu-Roegen: Choice, expectations and measurability, Quarterly Journal of Economics, Vol. 48, 1954, pp. 503 ff.

  7. (7)

    A Wald: Statistical Decision Function. New York, Wiley, 1950.

  8. (8)

    L. J. Savage: The Foundations of Statistics. New York, Wiley, 1954.

  9. (9)

    R. Duncan Luce andH. Raiffa: Op. cit., pp. 278 ff.

  10. (10)

    R. Carnap: Logical Foundations of Probability. Chicago: University of Chicago Press, 1950. G. Tintner: Foundations of probability and statistical inference, Journal of the Royal Statistical Society, Vol. 112, Ser. A 1949, pp. 251 ff.

  11. (11)

    J. M. Keynes: A Treatise on Probability, London 1921.

  12. (12)

    L. Wittgenstein: Tractatus Logico-Philosophicus, London 1922.

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Correspondence to Gerhard Tintner.

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Tintner, G. The application of decision theory of probability to a simple inventory problem. Trabajos de Estadistica 10, 239–247 (1959). https://doi.org/10.1007/BF03003053

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  • Decision Theory
  • Expect Profit
  • Moral Expectation
  • Complete Ignorance
  • Statistical Decision Function