In this paper we introduce compound α(t)-modified Poisson distributions. We obtain the compound Delaporte distribution as the special case of the compound α(t)-modified Poisson distribution. The characteristics of α(t)-modified Poisson and some compound distributions with gamma, exponential and Panjer summands are presented.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am2270-12-2015, author = {Katarzyna Steliga and Dominik Szynal}, title = {On the compound $\alpha$(t)-modified Poisson distribution}, journal = {Applicationes Mathematicae}, volume = {42}, year = {2015}, pages = {359-377}, zbl = {06545363}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am2270-12-2015} }
Katarzyna Steliga; Dominik Szynal. On the compound α(t)-modified Poisson distribution. Applicationes Mathematicae, Tome 42 (2015) pp. 359-377. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am2270-12-2015/