On the compound $\alpha (t)$-modified Poisson distribution
Volume 42 / 2015
Applicationes Mathematicae 42 (2015), 359-377
MSC: Primary 60E10; Secondary 62E15.
DOI: 10.4064/am2270-12-2015
Published online: 21 January 2016
Abstract
In this paper we introduce compound $\alpha (t)$-modified Poisson distributions. We obtain the compound Delaporte distribution as the special case of the compound $\alpha (t)$-modified Poisson distribution. The characteristics of $\alpha (t)$-modified Poisson and some compound distributions with gamma, exponential and Panjer summands are presented.
