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Nonparametric test for a 1-out-of-2: \(G\) repairable system. (English) Zbl 0896.62040
Summary: This paper deals with nonparametric inference of a \(1\text{-out-of-}2:G\) repairable system. Samples are drawn from conditional distributions of \(X\) given \(Y\) and \(Y\) given \(X\) under two different sampling plans. A linear test statistic is proposed to test the equality of \(F(x)\) and \(G(y)\). Asymptotic behaviors of the statistic defined have also been discussed.
MSC:
62G10 Nonparametric hypothesis testing
62N05 Reliability and life testing
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