Log-concave probability and its applications

Mark Bagnoli () and Ted Bergstrom ()
Additional contact information
Mark Bagnoli: Purdue University

A chapter in Rationality and Equilibrium, 2006, pp 217-241 from Springer

Abstract: Summary 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-concavity; Reliability; Hazard functions; Probability distributions; Failure rates; Costly appraisals; Mean residual lifetime (search for similar items in EconPapers)
Date: 2006
References: Add references at CitEc
Citations: View citations in EconPapers (4)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
Journal Article: Log-concave probability and its applications (2005)
Working Paper: LOG-CONCAVE PROBABILITY AND ITS APPLICATIONS (1989)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:steccp:978-3-540-29578-5_11

Ordering information: This item can be ordered from
http://www.springer.com/9783540295785

DOI: 10.1007/3-540-29578-X_11

Access Statistics for this chapter

More chapters in Studies in Economic Theory from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().