Distributional analysis of a generalization of the Pólya process

DOI10.1016/j.insmatheco.2010.09.002zbMath1231.60077OpenAlexW2034224025MaRDI QIDQ661268

Gordon E. Willmot

Publication date: 10 February 2012

Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.insmatheco.2010.09.002

zbMATH Keywords

exponential integralincomplete beta functionincomplete gamma functionStirling numbersnegative binomial distributioncompletely monotonegeometric distributioncompound Poisson distributionlogarithmic series distributionmixture of geometricsnonhomogeneous birth processSTER distribution

Mathematics Subject Classification ID

Continuous-time Markov processes on discrete state spaces (60J27)

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On the analysis of time dependent claims in a class of birth process claim count models ⋮ Multitype branching process with non-homogeneous Poisson and contagious Poisson immigration

Cites Work

• Univariate Discrete Distributions
• Loss Models
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