On testing exponentiality against IFRA alternatives

In a recent paper, Ahmad [J. Statist. Plann. Inference 92 (2001) 121] proposes a family of tests for new better than used, new better than used in expectation and harmonic new better than used in expectation. His family of tests is based on some moment inequalities of these classes. In this paper we...

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Bibliographic Details
Published in:Applied mathematics and computation 2003-12, Vol.146 (2), p.445-453
Main Author: El-Bassiouny, Ahmed H.
Format: Article
Language:English
Subjects:
Aging distributions
Asymptotic normality
Exact sciences and technology
Increasing failure rate average
Mathematical analysis
Mathematics
Moments inequalities
Monte Carlo methods
Numerical analysis
Numerical analysis. Scientific computation
Pitman’s asymptotic relative efficiency
Sciences and techniques of general use
U-statistic
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Summary:In a recent paper, Ahmad [J. Statist. Plann. Inference 92 (2001) 121] proposes a family of tests for new better than used, new better than used in expectation and harmonic new better than used in expectation. His family of tests is based on some moment inequalities of these classes. In this paper we present a family of tests to test exponentiality against increasing failure rate average (IFRA) alternatives. Our proposed family is based on a moment inequality of the IFRA class. The results of a Pitman asymptotic relatives efficiency comparison indicate the superiority of our tests.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(02)00597-0