La convergence des fonctions variance des familles exponentielles naturelles

DOI10.5802/afst.706zbMath0743.60011OpenAlexW2329827938MaRDI QIDQ3974199

Marianne Mora

Publication date: 25 June 1992

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1990_5_11_2_105_0

zbMATH Keywords

exponential familyvariance functionlimits of Laplace transforms

Mathematics Subject Classification ID

Convergence of probability measures (60B10)

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Discrete dispersion models and their Tweedie asymptotics ⋮ Poisson Limit Laws for Exponential Dispersion Models ⋮ Domains of attraction to Tweedie distributions ⋮ The Lindsay transform of natural exponential families ⋮ Dispersion models for geometric sums ⋮ Dispersion models for extremes ⋮ Self-organized criticality of aggregated animals attributed to Tweedie convergence ⋮ Exponential dispersion models: second-order minimax estimation of the mean for unknown dispersion parameter ⋮ A characterization of Poisson-Gaussian families by convolution-stability

Cites Work

• Natural real exponential families with cubic variance functions
• Natural exponential families with quadratic variance functions
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