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Some limits theorems for lifetime’s distributions and their applications in Network’s Reliability

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dc.contributor.author LEAHU, Alexei
dc.date.accessioned 2020-11-05T10:47:54Z
dc.date.available 2020-11-05T10:47:54Z
dc.date.issued 2018
dc.identifier.citation LEAHU, Alexei. Some limits theorems for lifetime’s distributions and their applications in Network’s Reliability. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, pp. 75-76. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/11113
dc.description Only Abstract en_US
dc.description.abstract 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 effectiveness to approximate and simplify research of reliability characteristics of different types of Networks. en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject lifetime distributions en_US
dc.subject Pascal’s distribution en_US
dc.subject limits theorem en_US
dc.subject series and parallel network systems en_US
dc.subject reliability en_US
dc.title Some limits theorems for lifetime’s distributions and their applications in Network’s Reliability en_US
dc.type Article en_US


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