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- catalog abstract "This monograph presents an approach to the measure-theoretical foundations of statistics and the theory of sufficiency, covering undominated and dominated statistical experiments. The familiar topics in the dominated case, such as pairwise sufficiency, Neyman factorization, minimal sufficient statistics, and the Rao-Blackwell theorem, are treated from a more general viewpoint than in the Halmos-Savage-Bahadur scheme and sometimes in a slightly different way. The main theme is that if the usual notion of sufficiency in terms of conditional probabilities is modified to omit the standard assumption of a common dominating sigma-finite measure, then certain aspects of statistics become more straightforward. In particular, one can extend Neyman's factorization criterion. Consequently, this will be of interest to researchers in statistics and may even lead to new developments in the theory of sufficiency.".
- catalog contributor b5825180.
- catalog created "c1994.".
- catalog date "1994".
- catalog date "c1994.".
- catalog dateCopyrighted "c1994.".
- catalog description "Includes bibliographical references and index.".
- catalog description "This monograph presents an approach to the measure-theoretical foundations of statistics and the theory of sufficiency, covering undominated and dominated statistical experiments. The familiar topics in the dominated case, such as pairwise sufficiency, Neyman factorization, minimal sufficient statistics, and the Rao-Blackwell theorem, are treated from a more general viewpoint than in the Halmos-Savage-Bahadur scheme and sometimes in a slightly different way. The main theme is that if the usual notion of sufficiency in terms of conditional probabilities is modified to omit the standard assumption of a common dominating sigma-finite measure, then certain aspects of statistics become more straightforward. In particular, one can extend Neyman's factorization criterion. Consequently, this will be of interest to researchers in statistics and may even lead to new developments in the theory of sufficiency.".
- catalog extent "129 p. ;".
- catalog identifier "0387942165".
- catalog isPartOf "Lecture notes in statistics (Springer-Verlag) ; 84".
- catalog isPartOf "Lecture notes in statistics".
- catalog issued "1994".
- catalog issued "c1994.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog subject "519.5 20".
- catalog subject "Estimation theory.".
- catalog subject "Experimental design.".
- catalog subject "Mathematical statistics.".
- catalog subject "QA279 .Y36 1994".
- catalog subject "Statistics.".
- catalog title "Pivotal measures in statistical experiments and sufficiency / Sakutaro Yamada.".
- catalog type "text".