Noncentral P'olya-Aeppli Distribution
Meglena D. Lazarova, Leda D. Minkova · Biomath Communications · 2018
In this paper we introduce a counting random variable which is a sum of Poisson distributed random variable and another one with P'olya-Aeppli distribution. The resulting distribution is called Noncentral P'olya-Aeppli distribution. The probability mass function, recursion formulas and some properties are derived. As application we introduce a Noncentral P'olya-Aeppli process (NPAP). Then we extend the distribution to the bivariate case.