Compound weighted Poisson distributions

Leda Minkova () and N. Balakrishnan ()

Metrika: International Journal for Theoretical and Applied Statistics, 2013, vol. 76, issue 4, 543-558

Abstract: In this paper, we discuss discrete compound distributions, in which the counting distribution is a weighted Poisson distribution. The over- and under-dispersion of these distributions are then discussed by analyzing the Fisher index of dispersion as well as a newly introduced factorial moment to mean measure. Several cases of compounding distributions and weight functions are subsequently examined in detail. Copyright Springer-Verlag 2013

Keywords: Weighted distribution; Compound distributions; Over-dispersion; Under-dispersion; Log-concavity; Log-convexity; Factorial moment to mean measure; Pólya-Aeppli distribution; Weighted Poisson process (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00184-012-0403-y

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