4.2 Article

An L-statistic approach to a test of exponentiality against IFR alternatives

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JOURNAL OF STATISTICAL PLANNING AND INFERENCE
卷 138, 期 10, 页码 3144-3148

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ELSEVIER SCIENCE BV
DOI: 10.1016/j.jspi.2007.12.005

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asymptotic normality; hazard rate; normalized spacings; order statistics

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In this note we consider the problem of testing exponentiality against IFR alternatives. A measure of deviation from exponentiality is developed and a test statistic constructed on the basis of this measure. It is shown that the test statistic is an L-statistic. The asymptotic as well as the exact distribution of the test statistic is obtained and the test is shown to be consistent. (C) 2007 Elsevier B.V. All rights reserved.

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