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 SM ISO690:2012LEAHU, Alexei, ANDRIEVSCHI-BAGRIN, Veronica. Lifetime distributions and their approximation in reliability of serial/parallel networks. In: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2020, vol. 28, nr. 2, pp. 161-172. ISSN 1224-1784. DOI: https://doi.org/10.2478/auom-2020-0025 |
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  Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica |
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| Volumul 28, Numărul 2 / 2020 / ISSN 1224-1784 /ISSNe 1844-0835 | ||||||
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| DOI:https://doi.org/10.2478/auom-2020-0025 | ||||||
| Pag. 161-172 | ||||||
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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. |
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| Cuvinte-cheie lifetime distributions, Parallel network systems, PSD distributions, series, survival functions |
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