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SM ISO690:2012 MUNTEANU, 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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