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 SM ISO690:2012MUNTEANU, Bogdan Gheorghe, LEAHU, Alexei, CATARANCIUC, Sergiu. On the limit theorem for life time distribution connected with some reliability systems and their validation by means of the Monte Carlo method. In: AIP Conference Proceedings, Ed. 1, 5-7 februarie 2013, Kuala Lumpur. College Park, Maryland: American Institute of Physics Inc., 2013, Vol.1557, pp. 582 -588. ISBN 978-073541183-8. ISSN 15517616. DOI: https://doi.org/10.1063/1.4823981 |
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 AIP Conference Proceedings Vol.1557, 2013 |
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Conferința "5th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences" 1, Kuala Lumpur, Malaezia, 5-7 februarie 2013 | ||||||
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| DOI:https://doi.org/10.1063/1.4823981 | ||||||
| Pag. 582 -588 | ||||||
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We prove the limit theorem for life time distribution connected with reliability systems when their life time is a Pascal Convolution of independent and identically distributed random variables. We show that, in some conditions, such distributions may be approximated by means of Erlang distributions. As a consequnce, survival functions for such systems may be, respectively, approximated by Erlang survival functions. By using Monte Carlo method we experimantally confirm the theoretical results of our theorem. |
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| Cuvinte-cheie exponential and Erlang approximations, Geometrical and Pascal convolutions, Life time, Monte Carlo simulation |
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