An information theoretic argument for the validity of the exponential model
DOI10.1007/BF01895310zbMath0804.62016OpenAlexW2009557023MaRDI QIDQ1337192
Kosmas Ferentinos, Konstantinos G. Zografos
Publication date: 30 November 1994
Published in: Metrika (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/176503
Cramer-Rao inequalitymultiparameter caseUMVU estimators\(r\)-parameter exponential familylower bound of Fisher information matrix
Point estimation (62F10) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characterization and structure theory of statistical distributions (62E10) Statistical aspects of information-theoretic topics (62B10)
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Cites Work
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- Characterizations of multidimensional exponential families by Cacoullos- type inequalities
- On the Cramer-Rao inequality
- Differential relations, in the original parameters, which determine the first two moments of the multiparameter exponential family
- New parametric measures of information
- Information Theory and Statistical Mechanics
- EXAMPLES OF MINIMUM VARIANCE ESTIMATION1
- Bounds and expansions for Fisher information when the moments are known
- Information Property of Exponential Families
- Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
- On the Efficiency of a Class of Non-Parametric Estimates
- On a Non-Parametric Analogue of the Information Matrix
- Applications to Optics and Wave Mechanics of the Criterion of Maximum Cramer-Rao Bound
- Equivalence of Gauss's Principle and Minimum Discrimination Information Estimation of Probabilities
- Robust Statistics
- On the attainment of the Cramer-Rao lower bound
- On the attainment of the Cramer-Rao lower bound
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