Open Access. Powered by Scholars. Published by Universities.®
Social and Behavioral Sciences Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Social and Behavioral Sciences
Log-Concave Probability And Its Applications, Ted Bergstrom, Mark Bagnoli
Log-Concave Probability And Its Applications, Ted Bergstrom, Mark Bagnoli
Ted C Bergstrom
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. (The current draft corrects a typo in Table 3.)