Notes On Asymptotic Methods In Statistical Decision Theory

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Asymptotic Methods In Statistical Decision Theory

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Author : Lucien Le Cam
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Asymptotic Methods In Statistical Decision Theory written by Lucien Le Cam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This book grew out of lectures delivered at the University of California, Berkeley, over many years. The subject is a part of asymptotics in statistics, organized around a few central ideas. The presentation proceeds from the general to the particular since this seemed the best way to emphasize the basic concepts. The reader is expected to have been exposed to statistical thinking and methodology, as expounded for instance in the book by H. Cramer [1946] or the more recent text by P. Bickel and K. Doksum [1977]. Another pos sibility, closer to the present in spirit, is Ferguson [1967]. Otherwise the reader is expected to possess some mathematical maturity, but not really a great deal of detailed mathematical knowledge. Very few mathematical objects are used; their assumed properties are simple; the results are almost always immediate consequences of the definitions. Some objects, such as vector lattices, may not have been included in the standard background of a student of statistics. For these we have provided a summary of relevant facts in the Appendix. The basic structures in the whole affair are systems that Blackwell called "experiments" and "transitions" between them. An "experiment" is a mathe matical abstraction intended to describe the basic features of an observational process if that process is contemplated in advance of its implementation. Typically, an experiment consists of a set E> of theories about what may happen in the observational process.

Notes On Asymptotic Methods In Statistical Decision Theory

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Author : Lucien Marie Le Cam
language : en
Publisher:
Release Date : 1974

Notes On Asymptotic Methods In Statistical Decision Theory written by Lucien Marie Le Cam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Asymptotes categories.

Notes On Asymptotic Methods In Statistical Decision Theory

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Author : Lucien Marie Le Cam (Mathématicien, Statisticien, France, Etats-Unis)
language : fr
Publisher:
Release Date : 1974

Notes On Asymptotic Methods In Statistical Decision Theory written by Lucien Marie Le Cam (Mathématicien, Statisticien, France, Etats-Unis) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.

Statistical Decision Theory And Bayesian Analysis

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Author : James O. Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Statistical Decision Theory And Bayesian Analysis written by James O. Berger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.

In this new edition the author has added substantial material on Bayesian analysis, including lengthy new sections on such important topics as empirical and hierarchical Bayes analysis, Bayesian calculation, Bayesian communication, and group decision making. With these changes, the book can be used as a self-contained introduction to Bayesian analysis. In addition, much of the decision-theoretic portion of the text was updated, including new sections covering such modern topics as minimax multivariate (Stein) estimation.

Asymptotic Methods In Statistical Decision Theory

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Author : Lucien Le Cam
language : en
Publisher:
Release Date : 1986-08-06

Asymptotic Methods In Statistical Decision Theory written by Lucien Le Cam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-08-06 with categories.

Statistical Decision Theory And Related Topics

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Author : Shanti S. Gupta
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Statistical Decision Theory And Related Topics written by Shanti S. Gupta and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.

Statistical Decision Theory and Related Topics II is a compendium of papers presented at an international symposium on Statistical Decision Theory and Related Topics held at Purdue University in May, 1976. The researchers invited to participate, and to author papers for this volume, are among the leaders in the field of Statistical Decision Theory. This collection features works on general decision theory, multiple decision theory, optimal experimental design, and robustness. Mathematicians and statisticians will find the book highly insightful and informative.

Statistical Decision Theory And Related Topics V

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Author : Shanti S. Gupta
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Statistical Decision Theory And Related Topics V written by Shanti S. Gupta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.

The Fifth Purdue International Symposium on Statistical Decision The was held at Purdue University during the period of ory and Related Topics June 14-19,1992. The symposium brought together many prominent leaders and younger researchers in statistical decision theory and related areas. The format of the Fifth Symposium was different from the previous symposia in that in addition to the 54 invited papers, there were 81 papers presented in contributed paper sessions. Of the 54 invited papers presented at the sym posium, 42 are collected in this volume. The papers are grouped into a total of six parts: Part 1 - Retrospective on Wald's Decision Theory and Sequential Analysis; Part 2 - Asymptotics and Nonparametrics; Part 3 - Bayesian Analysis; Part 4 - Decision Theory and Selection Procedures; Part 5 - Probability and Probabilistic Structures; and Part 6 - Sequential, Adaptive, and Filtering Problems. While many of the papers in the volume give the latest theoretical developments in these areas, a large number are either applied or creative review papers.

Statistical Experiments And Decisions

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Author : Al?bert Nikolaevich Shiri?aev
language : en
Publisher: World Scientific
Release Date : 2000

Statistical Experiments And Decisions written by Al?bert Nikolaevich Shiri?aev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

This volume provides an exposition of some fundamental aspects of the asymptotic theory of statistical experiments. The most important of them is ?how to construct asymptotically optimal decisions if we know the structure of optimal decisions for the limit experiment?.

Asymptotic Methods In Statistical Decision Theory

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Author : Lucien Le Cam
language : en
Publisher: Springer
Release Date : 1986-08-01

Asymptotic Methods In Statistical Decision Theory written by Lucien Le Cam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-08-01 with Mathematics categories.

This book grew out of lectures delivered at the University of California, Berkeley, over many years. The subject is a part of asymptotics in statistics, organized around a few central ideas. The presentation proceeds from the general to the particular since this seemed the best way to emphasize the basic concepts. The reader is expected to have been exposed to statistical thinking and methodology, as expounded for instance in the book by H. Cramer [1946] or the more recent text by P. Bickel and K. Doksum [1977]. Another pos sibility, closer to the present in spirit, is Ferguson [1967]. Otherwise the reader is expected to possess some mathematical maturity, but not really a great deal of detailed mathematical knowledge. Very few mathematical objects are used; their assumed properties are simple; the results are almost always immediate consequences of the definitions. Some objects, such as vector lattices, may not have been included in the standard background of a student of statistics. For these we have provided a summary of relevant facts in the Appendix. The basic structures in the whole affair are systems that Blackwell called "experiments" and "transitions" between them. An "experiment" is a mathe matical abstraction intended to describe the basic features of an observational process if that process is contemplated in advance of its implementation. Typically, an experiment consists of a set E> of theories about what may happen in the observational process.

Asymptotics In Statistics

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Author : Lucien Le Cam
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Asymptotics In Statistics written by Lucien Le Cam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

by Sara van de Geer. Also, we did not include material due to David Donoho, lain Johnstone, and their school. We found our selves unprepared to write a distillate of the material. We did touch briefly on "nonparametrics," but not on "semiparamet rics." This is because we feel that the semiparametric situation has not yet been properly structured. We hope that the reader will find this book interesting and challenging, in spite of its shortcomings. The material was typed in LaTeX form by the authors them selves, borrowing liberally from the 1990 script by Chris Bush. It was reviewed anonymously by distinguished colleagues. We thank them for their kind encouragement. Very special thanks are due to Professor David Pollard who took time out of a busy schedule to give us a long list of suggestions. We did not follow them all, but we at least made attempts. We wish also to thank the staff of Springer-Verlag for their help, in particular editor John Kimmel, who tried to make us work with all deliberate speed. Thanks are due to Paul Smith, Te-Ching Chen and Ju-Yi-Yen, who helped with the last-minute editorial corrections.