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- W4249515658 abstract "Suppose that a system consists of n independent and identically distributed components and that the life lengths of the n components are X i , i = 1, …, n . For k ∈ {1, …, n - 1}, let X ( k ) 1 , …, X ( k ) n - k be the residual life lengths of the live components following the k th failure in the system. In this paper we extend various stochastic ordering results presented in Bairamov and Arnold (2008) on the residual life lengths of the live components in an ( n - k + 1)-out-of- n system, and also present a new result concerning the multivariate stochastic ordering of live components in the two-sample situation. Finally, we also characterize exponential distributions under a weaker condition than those introduced in Bairamov and Arnold (2008) and show that some special ageing properties of the original residual life lengths get preserved by residual life lengths." @default.
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- W4249515658 date "2014-03-01" @default.
- W4249515658 modified "2023-10-17" @default.
- W4249515658 title "Stochastic Orderings and Ageing Properties of Residual Life Lengths of Live Components in (n-k+1)-Out-Of-n Systems" @default.
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- W4249515658 doi "https://doi.org/10.1017/s002190020001007x" @default.
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