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| Ultima descărcare din IBN: 2024-02-24 12:07 |
 SM ISO690:2012LEAHU, Alexei. Some limits theorems for lifetime’s distributions and their applications in Network’s Reliability. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 75-76. ISBN 978-9975-76-247-2. |
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| Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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| Pag. 75-76 | ||||||
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| Rezumat | ||||||
In this paper it was presented limits theorems for lifetime distributions as a limits of distributions of random variables min(X1;X2;:::; Xn) and max(X1;X2;:::; Xn), where X1;X2;:::; Xn are independent identically distributed random variables such that Xk = Xk1 + Xk2 + :::XkN, Xk1, Xk2, ..., XkN are nonnegative independent identically distributed random variables and N is a Pascal distributed random variable independent of random variables Xk1, Xk2, ... . We connect this results with some mathematical models in Network's Reliability and show their e ectiveness to approximate and simplify research of reliability characteristics of di erent types of Networks. |
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| Cuvinte-cheie lifetime distributions, Pascal's distribution, Limits Theorem, series and parallel network systems, reliability |
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