Log-concave Probability and its Applications

Mark Bagnoli and Ted Bergstrom ()
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Mark Bagnoli: Purdue

No 1989D, University of California at Santa Barbara, Economics Working Paper Series from Department of Economics, UC Santa Barbara

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.

Keywords: log concave probability; reliability theory; lemons market; probability distributions (search for similar items in EconPapers)
Date: 2004-01-01
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Related works:
Working Paper: LOG-CONCAVE PROBABILITY AND ITS APPLICATIONS (1989)
Journal Article: Log-concave probability and its applications (2005)
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Persistent link: http://EconPapers.repec.org/RePEc:cdl:ucsbec:1989d

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