کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5129326 | 1489640 | 2017 | 9 صفحه PDF | دانلود رایگان |

Let X=(X1,â¦,Xn) be an n-tuple of random variables where each Xj has the same known distribution function F and where there is a number kâ¤n such that for each iâ{1,â¦,k}, all i-tuples have copulas with the same known diagonal δi. A reliability system with such nonnegative component lifetimes X1,â¦,Xn is a system with the property that for each iâ¤k, all of its structurally identical sub-systems of i components have the same known reliability function. We provide a characterization for empirical distributions from the Xj's, and apply it to derive two-sided bounds (depending on F and δi's) for arbitrary linear combinations of distribution functions of the associated order statistics as well as to establish necessary and sufficient conditions for uniform sharpness of these bounds. Moreover, for k=2 and some classes of δ2's, we determine stochastically extremal distributions of single order statistics.
Journal: Journal of Multivariate Analysis - Volume 160, August 2017, Pages 1-9