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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Datum:2005
Hauptverfasser: Virchenko, Yu.P., Vitokhina, N.N.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2005
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/4434
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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
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Zusammenfassung: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.
ISSN:0321-3900