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Log-concave probability and its applications. (English) Zbl 1077.60012
In the abstract the authors say that “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.” The authors “list a large number of commonly-used probability distributions and report the log-concavity or log-convexity of their density functions and their integrals.” They “also discuss a variety of applications of log-concavity that have appeared in the literature.”

MSC:
60E05 Probability distributions: general theory
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