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The Maximum Entropy Distribution for Stochastically Ordered Random Variables with Fixed Marginals

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  • Kiefer, Nicholas M.

    (Cornell University)

Abstract

Stochastically ordered random variables with given marginal distributions are combined into a joint distribution preserving the ordering and the marginals using a maximum entropy formulation. A closed-form expression is obtained. An application is in default estimation for different portfolio segments, where priors on the individual default probabilities are available and the stochastic ordering is agreeable to separate experts. The ME formulation allows an efficiency improvement over separate analyses.

Suggested Citation

  • Kiefer, Nicholas M., 2009. "The Maximum Entropy Distribution for Stochastically Ordered Random Variables with Fixed Marginals," Working Papers 09-01, Cornell University, Center for Analytic Economics.
  • Handle: RePEc:ecl:corcae:09-01
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    File URL: https://cae.economics.cornell.edu/09-01.pdf
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