Moment inequalities derived from comparing life with its equilibrium form

    Authors

    A. R. Mugdadi;I. A. Ahmad

    Comments

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    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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