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Serkan Eryilmaz 《统计学通讯:理论与方法》2017,46(24):12324-12335
This paper introduces a new class of bivariate lifetime distributions. Let {Xi}i ? 1 and {Yi}i ? 1 be two independent sequences of independent and identically distributed positive valued random variables. Define T1 = min?(X1, …, XM) and T2 = min?(Y1, …, YN), where (M, N) has a discrete bivariate phase-type distribution, independent of {Xi}i ? 1 and {Yi}i ? 1. The joint survival function of (T1, T2) is studied. 相似文献
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In this article, the influence of a cold standby component to the reliability of weighted k-out-of-n: G systems consisting of two different types of components is studied. Weighted k-out-of-n: G systems are generalization of k-out-of-n systems that has attracted substantial interest in reliability theory because of their various applications in engineering. A method based on residual lifetimes of mixed components is presented for computing reliability of weighted k-out-of-n: G systems with two types of components and a cold standby component. Reliability and mean time to failure of different structured systems have been computed. Moreover, obtained results are used for defining optimal system configurations that can minimize the overall system costs. 相似文献
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