Multiplicative decomposition and infinite divisibility of the mandel distribution

Infinite divisibility of the Mandel distribution that arises in quantum optics is proved. On the basis of this fact, the multiplicative decomposition of this distribution into the countable convolution of some Poisson distributions is constructed.

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Bibliographic Details
Date:2005
Main Authors: Virchenko, Yu.P., Vitokhina, N.N.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/4434
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Multiplicative decomposition and infinite divisibility of the mandel distribution / Yu.P. Virchenko, N.N. Vitokhina // Theory of Stochastic Processes. — 2005. — Т. 11 (27), № 3-4. — С. 131–139. — Бібліогр.: 9 назв.— англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine