Order restricted statistical inference
著者
書誌事項
Order restricted statistical inference
（Wiley series in probability and mathematical statistics, . Probability and mathematical statistics）
Wiley, c1988
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注記
Bibliography: p. 459-508
Includes indexes
内容説明・目次
内容説明
This work attempts to provide a comprehensive treatment of the topic of statistical inference under inequality constraints, in which much of the theory is based on the principles ofr maximum likelihood estimation and likelihood ratio tests. The book contains treatments of the topics of isotonic regression, tests of ordered hypotheses (including contrast tests and distribution free tests), inferences about multinomial parameters, duality, inferences for distributions subject to shape restrictions, conditional expectations given o-lattices and other subjects. Each chapter concudes with a section that discusses historical material and research which is related to the topics covered in the chapter but not discussed in detail in this book. An extensive reference section lists over 800 references on the topics included in the book and examples, figures, tables and discussion are provided to assist the reader.
目次
Isotonic Regression. Tests of Ordered Hypotheses: The Normal Means Case. Tests of Ordered Hypotheses: Generalizations of the Likelihood Ratio Tests and Other Procedures. Inferences about a Set of Multinomial Parameters. Duality. Inferences Regarding Distributions Subject to Shape Restrictions. Conditional Expectation Given a sigma-lattice: Projections in a More General Setting. Complements. Tables. Bibliography and Related References. Index. Symbols and Acronyms.
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