Application of algebraic properties of statistical models to deriving distributions of statistics

DOI10.1007/BF02362493zbMath0863.62008OpenAlexW2073220198MaRDI QIDQ1355332

Pavel N. Sapozhnikov

Publication date: 21 May 1997

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

Full work available at URL: https://doi.org/10.1007/bf02362493

zbMATH Keywords

functional equationssufficient statisticsmaximal invariantsexponential shift familiesspace of statistics

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Foundations and philosophical topics in statistics (62A01) Reliability and life testing (62N05)

Cites Work

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• Über ein nichtparametrisches Schätzproblem
• Location and Scale Parameters in Exponential Families of Distributions
• Necessary and Sufficient Statistics for the Family of Shifts of Probability Distributions on Continuous BiCompact Groups
• A Functional Equation for Wishart's Distribution

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