Some results on normalized total time on test and spacings

Nader Ebrahimi and Fabio Spizzichino

Statistics & Probability Letters, 1997, vol. 36, issue 3, 231-243

Abstract: Let Y1, Y2,..., Yn be non-negative random variables and let Y1 [less-than-or-equals, slant] Y(2) [less-than-or-equals, slant] ... [less-than-or-equals, slant] Y(n) denote order statistics. In this manuscript, we study several properties of Di = (n - i + 1)(Y(i) - Y(i-1)), I = 1,2,..., n, where Y(0) [not identical with] 0. In particular we characterize the relevant case of lifetimes with Schur-constant density in terms of the joint density function of D1,..., Dn. We also analyze properties of Schur-concave (convex) densities and of the functions g(i) = E{Di} and .

Keywords: Majorization; Order; statistics; Schur-concave; function; Schur-convex; function; Schur-constant; function; Spacings; Total; time; on; test (search for similar items in EconPapers)
Date: 1997
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(97)00068-0
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:36:y:1997:i:3:p:231-243

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 ().