On the limit theorem for life time distribution connected with some reliability systems and their validation by means of the Monte Carlo method

MUNTEANU, Gheorghe Bogdan; LEAHU, Alexei; CATARANCIUC, Sergiu

dc.contributor.author	MUNTEANU, Gheorghe Bogdan
dc.contributor.author	LEAHU, Alexei
dc.contributor.author	CATARANCIUC, Sergiu
dc.date.accessioned	2021-11-19T10:14:53Z
dc.date.available	2021-11-19T10:14:53Z
dc.date.issued	2013
dc.identifier.citation	MUNTEANU, Gheorghe Bogdan, 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, 2013, V. 1557, N. 1, pp. 582-588. ISSN 0094243X, 15517616.	en_US
dc.identifier.issn	0094243X
dc.identifier.issn	15517616
dc.identifier.uri	https://doi.org/10.1063/1.4823981
dc.identifier.uri	http://repository.utm.md/handle/5014/18124
dc.description	Access full text - https://doi.org/10.1063/1.4823981	en_US
dc.description.abstract	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.	en_US
dc.language.iso	en	en_US
dc.publisher	AIP Publishing LLC	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	random variables	en_US
dc.subject	theorems	en_US
dc.subject	reliability systems	en_US
dc.title	On the limit theorem for life time distribution connected with some reliability systems and their validation by means of the Monte Carlo method	en_US
dc.type	Article	en_US