Affiliation:
1. Technical University of Moldova
Abstract
Abstract
In this paper we present limit theorems for lifetime distributions connected with network’s reliability as distributions of random variables(r.v.) min(Y
1, Y
2,..., YM
) and max(Y
1, Y
2,..., YM
), where Y
1, Y
2,..., 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.
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