Exponential families with variance functions in \(\sqrt {\Delta}P(\sqrt {\Delta})\): Seshadri's class

DOI10.1007/BF02562698zbMath0836.62015MaRDI QIDQ1346938

Célestin C. Kokonendji

Publication date: 24 April 1996

Published in: Test (Search for Journal in Brave)

zbMATH Keywords

exponential familiespolynomialvariance functionaffine functiontopology of weak convergence

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (7)

Le problème d'Anscombe pour les lois binomiales négatives généralisées ⋮ Dispersion models for extremes ⋮ The real powers of the convolution of a negative binomial distribution and a Bernoulli distribution ⋮ On normal stable Tweedie models and power-generalized variance functions of only one component ⋮ On the real natural exponential families of grand-Babel ⋮ Duality for real and multivariate exponential families ⋮ A characterization of Poisson-Gaussian families by convolution-stability

Cites Work

• Natural real exponential families with cubic variance functions
• Statistical inference for a class of modified power series distributions with applications to random mapping theory
• Reproducibility and natural exponential families with power variance functions
• Natural exponential families with quadratic variance functions
• The inverse binomial distribution as a statistical model
• Left-Continuous Random Walk and the Lagrange Expansion
• The Lindsay transform of natural exponential families
• Lagrange Distributions of the Second Kind and Weighted Distributions
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