IJPAM: Volume 77, No. 1 (2012)

ON CONVOLUTIONS OF $\alpha$-MODIFIED DISTRIBUTIONS

Katarzyna Steliga$^1$, Dominik Szynal$^2$
$^1$University of Economics and Innovation in Lublin
7-9, ul. Mełgiewska, 20-209, Lublin, POLAND
$^2$Department of Economics
Wydział Zamiejscowy KUL
6, ul. Ofiar Katynia, 37-450, Stalowa Wola, POLAND


Abstract. In this paper we give formulae for convolutions of $\alpha$-modified Poisson distributions, and $\alpha$-modified binomial distributions. We discuss also convolutions of inflated and truncated of $\alpha$-modified distributions.

Received: February 1, 2012

AMS Subject Classification: 62E15, 62P99

Key Words and Phrases: $\alpha$-modified distributions, $\alpha$-Riordan symbol, convolutions, inflated distributions, truncated distributions

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 1