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- catalog abstract "This book surveys results in the area sometimes denoted as "partial exchangeability" of "de Finetti type theorems". It is to be seen as an attempt to give sense to the general idea that there is a strong coupling between a statistical model and the statistical analysis. So strong that there is a canonical mathematical construction leading from the analysis to the model. Special sections are devoted to the study of sufficiency, of triviality of tails of Markov chains, studied e.g. by coupling methods, Martin boundaries and projective limits of Markov kernels and Polish spaces. In addition, many examples of extreme point models are treated in detail. This book is intended for researchers and graduate students in mathematical statistics and probability.".
- catalog alternative "Statistical models as extremal families.".
- catalog contributor b2270387.
- catalog contributor b2270388.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Bibliography: p. [260]-268.".
- catalog description "Contents: The Case of a Single Experiment and Finite Sample Space -- Simple Repetitive Structures of Product Type. Discrete Sample Spaces -- Repetititve Structures of Power Type. Discrete Sample Spaces -- General Repetitive Structures of Polish Spaces. Projective Statistical Fields -- Literature.".
- catalog description "This book surveys results in the area sometimes denoted as "partial exchangeability" of "de Finetti type theorems". It is to be seen as an attempt to give sense to the general idea that there is a strong coupling between a statistical model and the statistical analysis. So strong that there is a canonical mathematical construction leading from the analysis to the model. Special sections are devoted to the study of sufficiency, of triviality of tails of Markov chains, studied e.g. by coupling methods, Martin boundaries and projective limits of Markov kernels and Polish spaces. In addition, many examples of extreme point models are treated in detail. This book is intended for researchers and graduate students in mathematical statistics and probability.".
- catalog extent "xv, 268 p. :".
- catalog hasFormat "Extremal families and systems of sufficient statistics.".
- catalog identifier "0387968725".
- catalog isFormatOf "Extremal families and systems of sufficient statistics.".
- catalog isPartOf "Lecture notes in statistics (Springer-Verlag) ; 49.".
- catalog isPartOf "Lecture notes in statistics ; 49".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Extremal families and systems of sufficient statistics.".
- catalog subject "Distribution (Probability theory)".
- catalog subject "Extremal problems (Mathematics)".
- catalog subject "QA276 .L325 1988".
- catalog subject "Statistics.".
- catalog subject "Sufficient statistics.".
- catalog tableOfContents "Contents: The Case of a Single Experiment and Finite Sample Space -- Simple Repetitive Structures of Product Type. Discrete Sample Spaces -- Repetititve Structures of Power Type. Discrete Sample Spaces -- General Repetitive Structures of Polish Spaces. Projective Statistical Fields -- Literature.".
- catalog title "Extremal families and systems of sufficient statistics / Steffen L. Lauritzen.".
- catalog title "Statistical models as extremal families.".
- catalog type "text".