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Used Better than Aged in mgf Ordering Class of Life Distribution with Application of Hypothesis Testing |
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PP: 23-32 |
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doi:10.18576/jsapl/070103
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Author(s) |
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S. E. Abu-Youssef,
Nahed S. A. Ali,
M. E. Bakr,
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Abstract |
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| In this work a new class of life distributions, namely used better than aged in moment generating function ( U BAmg f ) class of life distribution is introduced, Relations of this aging to other well-known aging classes and their applications to a shock model are discussed. Preservations of this aging concept under some reliability operations are also given. Testing exponentiality versus ( U BAmg f ) class of life distribution is proposed. Pitman’s asymptotic efficiencies of the test are calculated and compared with other tests. The percentiles of this test statistic are tabulated.
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