On Poisson-stopped-sums that are mixed Poisson

Jordi Valero, Marta Pérez-Casany and Josep Ginebra

Statistics & Probability Letters, 2013, vol. 83, issue 8, 1830-1834

Abstract: Maceda (1948) characterized the mixed Poisson distributions that are Poisson-stopped-sum distributions based on the mixing distribution. In an alternative characterization of the same set of distributions here the Poisson-stopped-sum distributions that are mixed Poisson distributions is proved to be the set of Poisson-stopped-sums of either a mixture of zero-truncated Poisson distributions or a zero-modification of it.

Keywords: Poisson-stopped-sum distribution; Poisson mixture; Zero-truncated distribution; Zero-modified distribution (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2013.04.009

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