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A Note on Detecting “More IFR-ness” Property of Life Distributions

DOI: 10.4236/ojs.2012.24055, PP. 443-446

Keywords: 'More IFR' Property, U-statistic, Pitman ARE

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Abstract:

In this paper, a problem of testing whether one life distribution possesses ‘more IFR’ property than the other is considered. A new test procedure is proposed and the distribution of the test statistic is studied. The performance of the procedure is evaluated in terms of Pitman asymptotic relative efficiency. The consistency property of the test procedure is established. It is observed that the new procedure is better than the existing procedure in the literature.

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