Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 175-180
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A. N. Philippou. The Poisson and compound Poisson distributions of order $k$ and some of their properties. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 175-180. http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a18/
@article{ZNSL_1983_130_a18,
author = {A. N. Philippou},
title = {The {Poisson} and compound {Poisson} distributions of order~$k$ and some of their properties},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {175--180},
year = {1983},
volume = {130},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a18/}
}
TY - JOUR
AU - A. N. Philippou
TI - The Poisson and compound Poisson distributions of order $k$ and some of their properties
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 175
EP - 180
VL - 130
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a18/
LA - ru
ID - ZNSL_1983_130_a18
ER -
%0 Journal Article
%A A. N. Philippou
%T The Poisson and compound Poisson distributions of order $k$ and some of their properties
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 175-180
%V 130
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a18/
%G ru
%F ZNSL_1983_130_a18
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.
