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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Datum:2005
Hauptverfasser: Virchenko, Yu.P., Yastrubenko, M.I.
Format: Artikel
Sprache:English
Veröffentlicht: НТК «Інститут монокристалів» НАН України 2005
Schriftenreihe:Functional Materials
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/138878
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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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Zusammenfassung: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.