On left-truncating and mixing Poisson distributions

Jordi Valero, Marta Pérez-Casany and Josep Ginebra

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 5, 1424-1434

Abstract: The distributions obtained by left-truncating at k a mixed Poisson distribution, denoted kT-MP, and those obtained by mixing previously left-truncated Poisson distributions, denoted M-kTP, are characterized by means of their probability generating function. The main consequence is that every kT-MP distribution is a M-kTP distribution, but not the other way around.

Date: 2016
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DOI: 10.1080/03610926.2013.863932

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