Reproductive exponential families

DOI10.1214/AOS/1176346244zbMath0529.62016OpenAlexW2050498155MaRDI QIDQ787613

Ole Eiler Barndorff-Nielsen, Preben Blæsild

Publication date: 1983

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176346244

zbMATH Keywords

independenceGaussiandecomposition theoreminverse Gaussiangamma familiesreproductive exponential families

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Parametric inference (62F99)

Related Items (13)

Maximum likelihood estimation in exponential orthogeodesic models ⋮ On a property of strongly reproductive exponential families on \({\mathbb{R}}\) ⋮ An exact decomposition for a class of exponential dispersion models: Application to sequential testing ⋮ Multivariate distributions with generalized inverse gaussian marginals, and associated poisson mixtures ⋮ Asymptotic properties of conditional maximum likelihood estimator in a certain exponential model ⋮ Asyhptotic efficiency of sequential and non-sequential procedures based on fisher's method of combining tests ⋮ Exponential models, brownian motion, and independence ⋮ Extensions of the conjugate prior through the Kullback--Leibler separators ⋮ Pairwise conditional score functions: A generalization of the Mantel-Haenszel estimator ⋮ Standardized posterior mode for the flexible use of a conjugate prior ⋮ A Multivariate Extension of Inverse Gaussian Distribution Derived from Inverse Relationship ⋮ Probability measures, Lévy measures and analyticity in time ⋮ A decomposition for the exponential dispersion model generated by the invariance measure on the hyperboloid

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