Multiplicative decomposition and infinite divisibility of the mandel distribution

• Date: 2005
• ISSN: 0321-3900
• 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
• 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.

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.