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Log-Concave Probability And Its Applications

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  • BAGNOLI, M.
  • BERGSTROM, T.

Abstract

In many applications, assumptions about the log-concavity of a probability distribution allow just enough special structure to yield a workable theory. This paper catalogs a series of theorems relating log-concavity and/or log-convexity of probability density functions, distribution functions, reliability functions, and their integrals. We list a large number of commonly-used probability distributions and report the log-concavity or log-convexity of their density functions and their integrals. We also discuss a variety of applications of log-concavity that have appeared in the literature. Copyright Springer-Verlag Berlin/Heidelberg 2005
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Suggested Citation

  • Bagnoli, M. & Bergstrom, T., 1989. "Log-Concave Probability And Its Applications," Papers 89-23, Michigan - Center for Research on Economic & Social Theory.
  • Handle: RePEc:fth:michet:89-23
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    References listed on IDEAS

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    1. Gaudet, Gerard & Salant, Stephen W., 1992. "Mergers of producers of perfect complements competing in price," Economics Letters, Elsevier, vol. 39(3), pages 359-364, July.
    2. Gaudet, Gerard & Salant, Stephen W, 1991. "Increasing the Profits of a Subset of Firms in Oligopoly Models with Strategic Substitutes," American Economic Review, American Economic Association, vol. 81(3), pages 658-665, June.
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    Keywords

    game theory ; information;

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