Completeness conditions for sufficient statistics in shift families and unification of estimation procedures

DOI10.1007/BF02400928zbMath0928.62007OpenAlexW2070679017MaRDI QIDQ1365732

Pavel N. Sapozhnikov

Publication date: 11 January 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02400928

zbMATH Keywords

exponential familyshift familiessufficiencyalgebraic properties

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Sufficient statistics and fields (62B05)

Cites Work

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• Über ein nichtparametrisches Schätzproblem
• Hilbert Statistical Structures Admitting a Nontrivial Optimal Algebra
• On estimating a function of the mean of a multivariate normal distribution
• Unbiased Estimation of Some Multivariate Probability Densities and Related Functions
• The Application of Invariance to Unbiased Estimation
• Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics