Title

Moment inequalities derived from comparing life with its equilibrium form

Authors

Authors

A. R. Mugdadi;I. A. Ahmad

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

J. Stat. Plan. Infer.

Keywords

life; remaining life; equilibrium life; stochastic comparison; comparison in expectation; life families of positive ageing; hypothesis; testing; asymptotic normality; U-statistics; asymptotic relative; efficiency; DISTRIBUTIONS; FAMILIES; NBUC; Statistics & Probability

Abstract

A life is characterized by a nonnegative random variable. Associated with life, two notions are interesting in applications such as biomedical research, engineering and statistics. These are the notions of random remaining life at a certain age and its equilibrium (stationary) limit as the age tends to infinity. In the current investigation, comparisons between these three notions both stochastically and in expectation are discussed where moments inequalities based on these comparisons are presented. These inequalities are then used to develop testing the hypothesis of exponentiality against orderings based on these comparisons. (c) 2004 Elsevier B.V. All rights reserved.

Journal Title

Journal of Statistical Planning and Inference

Volume

134

Issue/Number

2

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

303

Last Page

317

WOS Identifier

WOS:000230806000001

ISSN

0378-3758

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