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Log-concave Probability and its Applications
(2004)
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
Publication Date
January 1, 2004
Citation Information
Mark Bagnoli and Ted Bergstrom. "Log-concave Probability and its Applications" (2004) Available at: http://works.bepress.com/ted_bergstrom/98/