The Maximum Entropy Distribution for Stochastically Ordered Random Variables with Fixed Marginals
AbstractStochastically 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.
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Bibliographic InfoPaper provided by Cornell University, Center for Analytic Economics in its series Working Papers with number 09-01.
Date of creation: Jan 2009
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