On the Generalized Poisson Distribution

Simple item page
dc.creatorTuenter, Hans J. H.
dc.date2006-06-10
dc.date.accessioned2026-07-07T08:07:54Z
dc.date.available2026-07-07T08:07:54Z
dc.descriptionThe Generalized Poisson Distribution (GPD) was introduced by Consul and Jain (1973). However, as remarked by Consul (1989), "It is very difficult to prove by direct summation that the sum of all the probabilities is unity". We give a shorter and more elegant proof based upon an application of Euler's classic difference lemma.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/math/0606238
dc.identifierhttp://arxiv.org/abs/math/0606238
dc.identifierStatistica Neerlandica, 54(3):374-376, November 2000
dc.identifierdoi:10.1111/1467-9574.00147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131086
dc.subjectStatistics Theory
dc.subjectNumber Theory
dc.subject62E15; 11A99
dc.titleOn the Generalized Poisson Distribution
dc.typetext

Files

Collections

arXiv