A general composition theorem and its applications to certain partial orderings of distributions

Kumar Joag-dev, Subhash Kochar and Frank Proschan

Statistics & Probability Letters, 1995, vol. 22, issue 2, 111-119

Abstract: A composition theorem for functions obeying certain positive ordering is proved. The novelty of the present version is that unlike earlier results which assume both components of the composition to be distributions or survival functions, one of the components is allowed to be negative and unbounded. The theorem is applied to yield very simple proof of characterizations for failure rate orderings of distributions given recently by Capéraà (1988). We also use this composition theorem to give a characterization of two distributions with ordered mean residual life functions.

Keywords: Likelihood; ratio; ordering; TP2; ordering; Failure; rate; ordering; Mean; residual; life; ordering (search for similar items in EconPapers)
Date: 1995
References: View complete reference list from CitEc
Citations: View citations in EconPapers (15)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0167-7152(94)00056-E
Full text for ScienceDirect subscribers only

Related works:
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:eee:stapro:v:22:y:1995:i:2:p:111-119

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().