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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
##### Keywords:
life testing; repairable system; conditional distributions