Characterizations of multidimensional exponential families by Cacoullos- type inequalities

DOI10.1016/0047-259X(90)90018-DzbMath0712.62044MaRDI QIDQ749106

D. Kharzeev

Publication date: 1990

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

characterizationsvariance lower boundmultidimensional exponential family

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characterization and structure theory of statistical distributions (62E10)

Related Items (2)

An information theoretic argument for the validity of the exponential model ⋮ Information Measures for Some Well-Known Families

Cites Work

• Unnamed Item
• On upper bounds for the variance of functions of random variables
• Characterization of probability distributions by Poincaré-type inequalities
• An identity for multidimensional continuous exponential families and its applications
• Characterizations of distributions by variance bounds
• A note on an inequality involving the normal distribution
• On upper and lower bounds for the variance of a function of a random variable
• A natural identity for exponential families with applications in multiparameter estimation
• On an Inequality and a Related Characterization of the Normal Distribution
• Poincaré-type inequalities via stochastic integrals
• Characterizations of distributions through some identities

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