A simple and more efficient new approach to life testing

    Authors

    I. A. Ahmad

    Comments

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    Abbreviated Journal Title

    Commun. Stat.-Theory Methods

    Keywords

    lifetesting; increasing hazard rate; new better than used; nonparametric; testing; efficiency; asymptotic normality; MONOTONE FAILURE RATE; DISTRIBUTIONS; STATISTICS; WHETHER; Statistics & Probability

    Abstract

    Testing of various classes of life distributions has long been a subject of investigation. Most of these procedures, however, are not easy to grasp by non-specialized users of statistics. Additionally, not all of these procedures have good efficiencies. In the present investigation, a new and much simpler approach is presented for testing exponentiality (the common mill hypothesis in life testing) against two perennial life classes, namely the class of increasing failure rate (IFR) distributions, the class of new better than used (NBU) distributions and the class of new better than used of specified age (NBU - t(s)). This new approach is very simple and is also more efficient for some commonly used alternatives than older and more involved methodologies in the sense of Pitman's asymptotic relative efficiency.

    Journal Title

    Communications in Statistics-Theory and Methods

    Volume

    33

    Issue/Number

    9

    Publication Date

    1-1-2004

    Document Type

    Article; Proceedings Paper

    Language

    English

    First Page

    2199

    Last Page

    2215

    WOS Identifier

    WOS:000224742500015

    ISSN

    0361-0926

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