Noncentral P'olya-Aeppli Distribution
AbstractIn 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.
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