Invariant prediction rules and an adequate statistic

DOI10.1007/BF02480922zbMath0465.62011MaRDI QIDQ1154758

Yoshikazu Takada

Publication date: 1981

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

zbMATH Keywords

exponentialmultivariate normaladequate statisticessentially completeinvariant prediction rules

Mathematics Subject Classification ID

Minimax procedures in statistical decision theory (62C20) Foundations and philosophical topics in statistics (62A01) Complete class results in statistical decision theory (62C07)

Related Items (1)

Application of an adequate statistic to the invariant prediction region

Cites Work

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• A family of minimax estimators in some multiple regression problems
• Characterizations of prediction sufficiency (adequacy) in terms of risk functions
• Inadmissibility of maximum likelihood estimators in some multiple regression problems with three or more independent variables
• Optimality of unbiased predictors
• Adequate Subfields and Sufficiency
• Fiducial Theory and Invariant Prediction
• The Relationship Between Sufficiency and Invariance with Applications in Sequential Analysis
• Some Theorems Relevant to Life Testing from an Exponential Distribution

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