On testing more IFRA ordering-II |
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| Authors: | Muhyiddin Izadi Baha-Eldin Khaledi Chin-Diew Lai |
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| Institution: | 1. Department of Statistics, Razi University, Kermanshah, Iranizadi_552@yahoo.com;3. Department of Statistics, Razi University, Kermanshah, Iran;4. Institute of Fundamental Sciences—Statistics and Bioinformatics, Massey University, Palmerston North, New Zealand |
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| Abstract: | ABSTRACTSuppose F and G are two life distribution functions. It is said that F is more IFRA (increasing failure rate average) than G (written by F ? *G) if G? 1F(x) is star-shaped on (0, ∞). In this paper, the problem of testing H0: F = *G against H1: F ? *G and F ≠ *G is considered in both cases when G is known and when G is unknown. We propose a new test based on U-statistics and obtain the asymptotic distribution of the test statistics. The new test is compared with some well-known tests in the literature. In addition, we apply our test to a real data set in the context of reliability. |
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| Keywords: | Asymptotic normality Increasing failure rate average Pitman’s asymptotic efficiency Star order U-statistic |
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