Abstract In this paper we present limit theorems for lifetime distributions connected with network’s reliability as distributions of random variables(r.v.) min(Y1, Y2,..., YM) and max(Y1, Y2,..., YM ), where Y1, Y2,..., are independent, identically distributed random variables (i.i.d.r.v.), M being Power Series Distributed (PSD) r.v. independent of them and, at the same time, Yk, k = 1, 2, ..., being a sum of non-negative, i.i.d.r.v. in a Pascal distributed random number.

中文翻译：

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串行/并行网络可靠性的寿命分布及其近似

摘要 在本文中，我们提出了与网络可靠性相关的生命周期分布的极限定理作为随机变量（rv） min(Y1, Y2,..., YM) 和 max(Y1, Y2,..., YM ) 的分布，其中Y1, Y2,..., 是独立的同分布随机变量 (iidrv)，M 是幂级数分布 (PSD) rv 独立于它们，同时，Yk, k = 1, 2, ...,是帕斯卡分布式随机数中非负 iidrv 的总和。