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

• Published in: Functional Materials
• Date: 2005
• Main Authors: Virchenko, Yu.P., Yastrubenko, M.I.
• Format: Article
• Language: English
• Published: НТК «Інститут монокристалів» НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/138878
• 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.

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...