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A New Test for Exponentiality Versus NBU mgf Life Distributions Based on Laplace Transform
Author(s) -
Atallah M. A.,
Mahmoud M. A. W.,
Al Zahrani B. M.
Publication year - 2014
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.1557
Subject(s) - laplace transform , mathematics , reliability (semiconductor) , test statistic , statistic , statistics , test (biology) , moment (physics) , weibull distribution , order statistic , statistical hypothesis testing , mathematical analysis , thermodynamics , physics , paleontology , power (physics) , classical mechanics , biology
In this article, we derive a new test statistic for testing exponentiality against ‛the new better than used in the moment generating function order ageing class’ ( NBU mgf ). The critical values and the powers of this test are calculated to assess the performance of the test. It is shown that the proposed test has high efficiencies for some commonly used distributions in reliability. Sets of real data are used as examples to elucidate the use of the proposed test for practical problems. Copyright © 2013 John Wiley & Sons, Ltd.