The application of the principle of minimum cross-entropy to the characterization of the exponential-type probability distributions

DOI10.1007/BF02482532zbMath0609.62017MaRDI QIDQ1086929

Monica E. Bad Dumitrescu

Publication date: 1986

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

gammacharacterizationsnormal distributionexponential familyprior distributionsStudent distributionminimum discrimination informationKullback's estimation criterionnegative exponentialprinciple of minimum cross-entropy

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Measures of information, entropy (94A17)

Related Items (2)

A maximum entropy characterization of symmetric Kotz type and Burr multivariate distribu\-tions ⋮ On maximum entropy characterization of Pearson's type II and VII multivariate distributions

Cites Work

• The Student distribution and the principle of maximum entropy
• Information Theory and Statistical Mechanics
• Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
• Properties of cross-entropy minimization
• A Note on Minimum Discrimination Information
• On Information and Sufficiency
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