A remark on the Poisson-Pascal and some other contagious distributions

DOI10.1016/0167-7152(88)90053-3zbMath0662.62011OpenAlexW2067805178MaRDI QIDQ1113564

Gordon E. Willmot

Publication date: 1988

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(88)90053-3

zbMATH Keywords

compound Poissonunimodalitymixed Poissoncontagious distributionsextended truncated negative binomialPoisson-inverse GaussianPoisson-Pascal

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15)

Related Items (9)

On parameter orthogonality to the mean ⋮ Extended truncated Tweedie-Poisson model ⋮ From the generalized gamma to the generalized negative binomial distribution ⋮ On mean scaled insurance risk models ⋮ Robust confidence bounds for the mean of some count data models ⋮ A compound of the generalized negative binomial distribu\-tion with the generalized beta distri\-bution ⋮ Extended truncated Inverse Gaussian–Poisson model ⋮ Engen's extended negative binomial model revisited ⋮ Generalized skew-elliptical distributions and their quadratic forms

Cites Work

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• Survival models for heterogeneous populations derived from stable distributions
• A unified approach to estimating parameters in some generalized poission distributions
• On species frequency models
• The modality of some compound Poisson distributions
• The Poisson Pascal Distribution

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