First passage time problem in the material destruction theory.The poissonian process of energy absorption

Local limit theorem concerns the probability distribution of the random passage time of the given level m by the sum of independent poissonian random values is proved. It is supposed that m is increased infinitely. The probability distribution with the asymptotic accuracy is represented in the Wald...

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Date:	2005
Main Authors:	Virchenko, Yu.P., Yastrubenko, M.I.
Format:	Article
Language:	English
Published:	НТК «Інститут монокристалів» НАН України 2005
Series:	Functional Materials
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/138878
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Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	First passage time problem in the material destruction theory.The poissonian process of energy absorption / Yu.P. Virchenko, M.I. Yastrubenko // Functional Materials. — 2005. — Т. 12, № 4. — С. 628-632. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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spelling	nasplib_isofts_kiev_ua-123456789-1388782025-02-09T14:20:21Z First passage time problem in the material destruction theory.The poissonian process of energy absorption Задача досягнення заданого рівня у теорії перколяційного руйнування матеріалу. Пуассонівський процес поглинання енергії Virchenko, Yu.P. Yastrubenko, M.I. Local limit theorem concerns the probability distribution of the random passage time of the given level m by the sum of independent poissonian random values is proved. It is supposed that m is increased infinitely. The probability distribution with the asymptotic accuracy is represented in the Wald form that is obtained earlier in the case of random statistically independent {0,1}-sequences. Одержано локальну граничну теорему для розподілу імовірностей часу досягнення заданого рівня m сумою незалежних пуассонівських випадкових величин. Припускається, що m зростає необмежено. Розподіл імовірностей з асимптотичною точністю уявляє собою розподіл Вальда, який був одержаний у аналогчній проблемі для статистично незалежних випадкових величин {0, 1} - послідовностей. Получена локальная предельная теорема для вероятности момента достижения заданного уровня m суммой независимых пуассоновских случайных величин. Предполагается, что m возрастает неограниченно. Распределение вероятностей с асимптотической точностью представляется распределением Вальда, которое было известно в аналогичной задаче для статистически независимых случайных {0, 1}-последовательностей. 2005 Article First passage time problem in the material destruction theory.The poissonian process of energy absorption / Yu.P. Virchenko, M.I. Yastrubenko // Functional Materials. — 2005. — Т. 12, № 4. — С. 628-632. — Бібліогр.: 7 назв. — англ. 1027-5495 https://nasplib.isofts.kiev.ua/handle/123456789/138878 en Functional Materials application/pdf НТК «Інститут монокристалів» НАН України
institution	Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection	DSpace DC
language	English
description	Local limit theorem concerns the probability distribution of the random passage time of the given level m by the sum of independent poissonian random values is proved. It is supposed that m is increased infinitely. The probability distribution with the asymptotic accuracy is represented in the Wald form that is obtained earlier in the case of random statistically independent {0,1}-sequences.
format	Article
author	Virchenko, Yu.P. Yastrubenko, M.I.
spellingShingle	Virchenko, Yu.P. Yastrubenko, M.I. First passage time problem in the material destruction theory.The poissonian process of energy absorption Functional Materials
author_facet	Virchenko, Yu.P. Yastrubenko, M.I.
author_sort	Virchenko, Yu.P.
title	First passage time problem in the material destruction theory.The poissonian process of energy absorption
title_short	First passage time problem in the material destruction theory.The poissonian process of energy absorption
title_full	First passage time problem in the material destruction theory.The poissonian process of energy absorption
title_fullStr	First passage time problem in the material destruction theory.The poissonian process of energy absorption
title_full_unstemmed	First passage time problem in the material destruction theory.The poissonian process of energy absorption
title_sort	first passage time problem in the material destruction theory.the poissonian process of energy absorption
publisher	НТК «Інститут монокристалів» НАН України
publishDate	2005
url	https://nasplib.isofts.kiev.ua/handle/123456789/138878
citation_txt	First passage time problem in the material destruction theory.The poissonian process of energy absorption / Yu.P. Virchenko, M.I. Yastrubenko // Functional Materials. — 2005. — Т. 12, № 4. — С. 628-632. — Бібліогр.: 7 назв. — англ.
series	Functional Materials
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first_indexed	2025-11-26T19:13:23Z
last_indexed	2025-11-26T19:13:23Z
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First passage time problem in the material destruction theory.The poissonian process of energy absorption

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