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A generalized Hollander-Proschan test for NBUE alternative based on U-statistics approach  

Hassan, M.KH. (Department of Mathematics, Faculty of Education, Ain Shams University)
Publication Information
International Journal of Reliability and Applications / v.16, no.2, 2015 , pp. 113-122 More about this Journal
Abstract
In this paper, we introduce U-statistics approach to generalized Hollander-Proschan test for new better than used (NBUE) alternative. We prove, the proposed test is equivalent to test was introduced by Anis and Mitra (2011) and includes test was introduced by Hollander Proschan (1975). Also, the asymptotic properties are studied. The powers of our test are estimated. The Pitman asymptotic efficiencies of proposed test are also calculated. Finally, the test is applied to some real data.
Keywords
Asymptotic normality; Hollander-Proschan test; NBUE class of life distributions; pitman asymptotic efficiency; U-Statistics;
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