Noncentral P'olya-Aeppli Distribution

Authors

  • Meglena Delcheva Lazarova* Sofia University "St. Kliment Ohridski"
  • Leda Dimitrova Minkova Sofia University "St. Kliment Ohridski"

DOI:

https://doi.org/10.11145/cb.v3i1.644

Abstract

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.

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Published

2016-03-28

Issue

Section

Conference Contributions