Poisson Limit Laws for Exponential Dispersion Models

DOI10.1080/03610926.2010.529533zbMath1246.60023OpenAlexW2057538541MaRDI QIDQ2903829

Masmoudi Afif, Salah Nahla Ben

Publication date: 2 August 2012

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2010.529533

zbMATH Keywords

Poisson distributionvariance functionexponential dispersion modelmeans domainJørgensen parametertight limit

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (2)

Generalized convolution product of an infinitely divisible distribution and a Bernoulli distribution ⋮ Asymptotic behavior of some cone-valued infinitely divisible stochastic process through projection

Cites Work

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• Natural real exponential families with cubic variance functions
• Conditional natural exponential families
• Natural exponential families with quadratic variance functions
• Extension of the variance function of a steep exponential family
• Characterization of the simple cubic multivariate exponential families
• La convergence des fonctions variance des familles exponentielles naturelles

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