Hilbert space methods in classical problems of mathematical statistics

DOI10.1007/BF01262718zbMath0414.62008OpenAlexW4238080593MaRDI QIDQ599452

O. V. Gerlejn, Abram M. Kagan

Publication date: 1979

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01262718

zbMATH Keywords

Fisher informationmaximum likelihoodscalar productsHilbert space methodslinear statistical inferenceNeyman-Fisher factorization theorem

Mathematics Subject Classification ID

Point estimation (62F10) Foundations and philosophical topics in statistics (62A01) Statistical aspects of information-theoretic topics (62B10) Inner product spaces and their generalizations, Hilbert spaces (46C99) Sufficient statistics and fields (62B05)

Cites Work

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• An Optimum Property of Regular Maximum Likelihood Estimation
• Conditional Expectation and Unbiased Sequential Estimation
• Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics
• Sufficiency and Statistical Decision Functions

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