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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 130, Pages 175–180 (Mi znsl4347)  
The Poisson and compound Poisson distributions of order $k$ and some of their properties

A. N. Philippou
Full-text PDF (265 kB)
Abstract: The Poisson distribution of order $k$ is studied. Its probability generating function is derived and is employed to show that the sum of i. r. v. distributed as Poisson of order $k$ is also distributed similarily. A generalized compound Poisson distribution is obtained and briefly studied.
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. N. Philippou, “The Poisson and compound Poisson distributions of order $k$ and some of their properties”, Problems of the theory of probability distributions. Part VIII, Zap. Nauchn. Sem. LOMI, 130, "Nauka", Leningrad. Otdel., Leningrad, 1983, 175–180
Citation in format AMSBIB
\Bibitem{Phi83}
\by A.~N.~Philippou
\paper The Poisson and compound Poisson distributions of order~$k$ and some of their properties
\inbook Problems of the theory of probability distributions. Part~VIII
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 130
\pages 175--180
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4347}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=723684}
\zmath{https://zbmath.org/?q=an:0529.60010}
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  • https://www.mathnet.ru/eng/znsl/v130/p175
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