IJPAM: Volume 67, No. 2 (2011)
NOTE ON A CHARACTERIZATION OF
-MODIFIED
AND TRUNCATED POISSON DISTRIBUTION

AND TRUNCATED POISSON DISTRIBUTION
Katarzyna Steliga
, Dominik Szynal
Department of Mathematics
Faculty of Economics
Maria Curie-Sk
odowska University
5, Pl. M. Curie-Sk
odowskiej, Lublin, 20-031, POLAND
e-mail: katarzyna.steliga@gmail.com
Department of Economics
Wydzia
Zamiejscowy KUL
6, Ul. Ofiar Katynia, Stalowa Wola, 37-450, POLAND
e-mail: szynal@poczta.umcs.lublin.pl



Faculty of Economics
Maria Curie-Sk

5, Pl. M. Curie-Sk

e-mail: katarzyna.steliga@gmail.com

Wydzia

6, Ul. Ofiar Katynia, Stalowa Wola, 37-450, POLAND
e-mail: szynal@poczta.umcs.lublin.pl
Abstract.Poisson, binomial and negative binomial distributions as elements of a family power-series distributions were characterized by relating their first and second-order moments (see [#!kyriak!#]). We give similar characterizations of -modified and truncated Poisson distributions.
Received: December 3, 2010
AMS Subject Classification: 60E05, 62E10
Key Words and Phrases: power-series distribution, moments, characterization, -modified and truncated Poisson distribution
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 67
Issue: 2