MULTIPLICATIVE DECOMPOSITION AND INFINITE DIVISIBILITY OF THE MANDEL DISTRIBUTION
YU. P. VIRCHENKO AND N. N. VITOKHINATheory of Stochastic Processes Vol. 11 (27), no. 3–4, 2005, pp. 131–139
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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