On the compounded bivariate Poisson distribution: A unified treatment

DOI10.1007/BF00053955zbMath0668.62030MaRDI QIDQ1118290

Subrahmaniam Kocherlakota

Publication date: 1988

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

probability generating functionconditional distributionbivariate Poisson distributionnegative binomialcompoundingPoisson-inverse Gaussianbivariate-HermiteNeyman type A

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05)

Related Items (10)

Bivariate discrete Poisson-Lindley distributions ⋮ Compound model for two dependent kinds of claim ⋮ CMPH: a multivariate phase-type aggregate loss distribution ⋮ The structure of compounded trivariate Poisson distribution ⋮ The multivariate mixed negative binomial regression model with an application to insurance a posteriori ratemaking ⋮ A finite mixture of bivariate Poisson regression models with an application to insurance ratemaking ⋮ On a class of bivariate mixed Sarmanov distributions ⋮ Multivariate generalized Poisson geometric process model with scale mixtures of normal distributions ⋮ Bivariate Hofmann distributions ⋮ Mixed Poisson Distributions

Cites Work

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• A note on the recurrent relations for the bivariate Poisson distribution
• On a Poisson-inverse Gaussian distribution
• Statistical Properties of Inverse Gaussian Distributions. I
• Some Further Results for Bivariate Generalizations of the Neyman Type a Distribution
• Bivariate generalizations of Neyman's Type A distribution
• A Class of Distributions Applicable to Accidents

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