Asymptotic Methods In Statistical Decision Theory

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Asymptotic Methods in Statistical Decision Theory

Author : Lucien Le Cam
Publisher : Springer Science & Business Media
ISBN 13 : 1461249465
Total Pages : 767 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Asymptotic Methods in Statistical Decision Theory by : Lucien Le Cam

Download or read book Asymptotic Methods in Statistical Decision Theory written by Lucien Le Cam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymptotic Methods in Statistical Theory

Author : Lucien Marie Le Cam
Publisher :
ISBN 13 :
Total Pages : 742 pages
Book Rating : 4.:/5 (66 download)

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Book Synopsis Asymptotic Methods in Statistical Theory by : Lucien Marie Le Cam

Download or read book Asymptotic Methods in Statistical Theory written by Lucien Marie Le Cam and published by . This book was released on 1986 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Notes on Asymptotic Methods in Statistical Decision Theory

Author : Lucien Marie Le Cam
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Notes on Asymptotic Methods in Statistical Decision Theory by : Lucien Marie Le Cam

Download or read book Notes on Asymptotic Methods in Statistical Decision Theory written by Lucien Marie Le Cam and published by . This book was released on 1974 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotics in Statistics

Author : Lucien Marie Le Cam
Publisher : Springer Science & Business Media
ISBN 13 : 9780387950365
Total Pages : 312 pages
Book Rating : 4.9/5 (53 download)

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Book Synopsis Asymptotics in Statistics by : Lucien Marie Le Cam

Download or read book Asymptotics in Statistics written by Lucien Marie Le Cam and published by Springer Science & Business Media. This book was released on 2000-07-28 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a coherent introduction to the subject of asymptotic statistics as it has developed over the past 50 years. It differs from the first edition in that it is now more 'reader friendly' and also includes a new chapter on Gaussian and Poisson experiments, reflecting their growing role in the field. Most of the subsequent chapters have been entirely rewritten and the nonparametrics of Chapter 7 have been amplified. The volume is not intended to replace monographs on specialized subjects, but will help to place them in a coherent perspective. It thus represents a link between traditional material - such as maximum likelihood, and Wald's Theory of Statistical Decision Functions -- together with comparison and distances for experiments. Much of the material has been taught in a second year graduate course at Berkeley for 30 years.

Mathematical Theory of Statistics

Author : Helmut Strasser
Publisher : Walter de Gruyter
ISBN 13 : 3110850826
Total Pages : 505 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Mathematical Theory of Statistics by : Helmut Strasser

Download or read book Mathematical Theory of Statistics written by Helmut Strasser and published by Walter de Gruyter. This book was released on 2011-04-20 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Statistical Decision Theory

Author : F. Liese
Publisher : Springer Science & Business Media
ISBN 13 : 0387731946
Total Pages : 696 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Statistical Decision Theory by : F. Liese

Download or read book Statistical Decision Theory written by F. Liese and published by Springer Science & Business Media. This book was released on 2008-12-30 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: For advanced graduate students, this book is a one-stop shop that presents the main ideas of decision theory in an organized, balanced, and mathematically rigorous manner, while observing statistical relevance. All of the major topics are introduced at an elementary level, then developed incrementally to higher levels. The book is self-contained as it provides full proofs, worked-out examples, and problems. The authors present a rigorous account of the concepts and a broad treatment of the major results of classical finite sample size decision theory and modern asymptotic decision theory. With its broad coverage of decision theory, this book fills the gap between standard graduate texts in mathematical statistics and advanced monographs on modern asymptotic theory.

Statistical Decision Theory and Related Topics V

Author : Shanti S. Gupta
Publisher : Springer Science & Business Media
ISBN 13 : 146122618X
Total Pages : 535 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Statistical Decision Theory and Related Topics V by : Shanti S. Gupta

Download or read book Statistical Decision Theory and Related Topics V written by Shanti S. Gupta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Decision Theory and Related Topics IV

Author : Shanti S. Gupta
Publisher : Springer
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Statistical Decision Theory and Related Topics IV by : Shanti S. Gupta

Download or read book Statistical Decision Theory and Related Topics IV written by Shanti S. Gupta and published by Springer. This book was released on 1988 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourth Purdue Symposium on Statistical Decision Theory and Related Topics was held at Purdue University during the period June 15-20, 1986. The symposium brought together many prominent leaders and younger researchers in statistical decision theory and related areas. The 65 invited papers and discussions presented at the symposium are collected in this two-volume work. The papers are grouped into a total of seven parts. Volume I has three parts: Part 1 -Conditioning and Likelihood; Part 2 -Bayes and Empirical Bayes Analysis; and Part 3 -Decision Theoretic Estimation. Part 1 contains the proceedings of a Workshop on Conditioning, which was held during the symposium. Most of the articles in Volume I involve either conditioning or Bayesian ideas, resulting in a volume of considerable interest to conditionalists and Bayesians as well as to decision-theorists. Volume II has four parts: Part 1 -Selection, Ranking, and Multiple Com parisons; Part 2 -Asymptotic and Sequential Analysis; Part 3 -Estimation and Testing; and Part 4 -Design and Comparison of Experiments and Distributions. These articles encompass the leading edge of much current research in math ematical statistics, with decision theory, of course, receiving special emphasis. It should be noted that the papers in these two volumes are by no means all theoretical; many are applied in nature or are creative review papers.

Advances in Statistical Decision Theory and Applications

Author : S. Panchapakesan
Publisher : Springer Science & Business Media
ISBN 13 : 1461223083
Total Pages : 478 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Advances in Statistical Decision Theory and Applications by : S. Panchapakesan

Download or read book Advances in Statistical Decision Theory and Applications written by S. Panchapakesan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shanti S. Gupta has made pioneering contributions to ranking and selection theory; in particular, to subset selection theory. His list of publications and the numerous citations his publications have received over the last forty years will amply testify to this fact. Besides ranking and selection, his interests include order statistics and reliability theory. The first editor's association with Shanti Gupta goes back to 1965 when he came to Purdue to do his Ph.D. He has the good fortune of being a student, a colleague and a long-standing collaborator of Shanti Gupta. The second editor's association with Shanti Gupta began in 1978 when he started his research in the area of order statistics. During the past twenty years, he has collaborated with Shanti Gupta on several publications. We both feel that our lives have been enriched by our association with him. He has indeed been a friend, philosopher and guide to us.

Statistical Experiments and Decisions

Author : Al?bert Nikolaevich Shiri?aev
Publisher : World Scientific
ISBN 13 : 9789810241018
Total Pages : 306 pages
Book Rating : 4.2/5 (41 download)

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Book Synopsis Statistical Experiments and Decisions by : Al?bert Nikolaevich Shiri?aev

Download or read book Statistical Experiments and Decisions written by Al?bert Nikolaevich Shiri?aev and published by World Scientific. This book was released on 2000 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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?.

Statistical Decision Theory and Related Topics III

Author : Shanti S. Gupta
Publisher : Academic Press
ISBN 13 : 1483259552
Total Pages : 550 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Statistical Decision Theory and Related Topics III by : Shanti S. Gupta

Download or read book Statistical Decision Theory and Related Topics III written by Shanti S. Gupta and published by Academic Press. This book was released on 2014-05-10 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Decision Theory and Related Topics III, Volume 2 is a collection of papers presented at the Third Purdue Symposium on Statistical Decision Theory and Related Topics, held at Purdue University in June 1981. The symposium brought together many prominent leaders and a number of younger researchers in statistical decision theory and related areas. This volume contains the research papers presented at the symposium and includes works on general decision theory, multiple decision theory, optimum experimental design, sequential and adaptive inference, Bayesian analysis, robustness, and large sample theory. These research areas have seen rapid developments since the preceding Purdue Symposium in 1976, developments reflected by the variety and depth of the works in this volume. Statisticians and mathematicians will find the book very insightful.

Statistical Experiments and Decisions

Author : A N Shiryaev
Publisher : World Scientific
ISBN 13 : 9814494151
Total Pages : 300 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Statistical Experiments and Decisions by : A N Shiryaev

Download or read book Statistical Experiments and Decisions written by A N Shiryaev and published by World Scientific. This book was released on 2000-07-04 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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”. Contents:Statistical Experiments and Their ComparisonConvergence of Statistical Experiments(γ,Γ)-Models. Convergence to (γ,Γ)-ModelsLocal Convergence of Statistical Experiments and Global EstimationStatistical Inference for Autoregressive Models of the First Order Readership: Researchers in probability and statistics. Keywords:Comparison of Statistical Experiments;Mixed Local Asymptotic Normality;Convergence of Experiments;Likelihood Ratio Processes;Contiguity;Autoregressive Models;Minimax Bound;Local Asymptotic NormalityReviews: “It is an interesting, welcome addition to the literature, and it contains many new insights. I congratulate the authors for writing this comprehensive monograph on a difficult subject.” Mathematical Reviews “The book is a highlight in modern mathematical statistics which offers a lot of new concepts. It recalls the brilliant methodology of Le Cam's Theory and the first chapters may be used as introduction into this field.” Mathematics Abstracts

Statistical Decision Theory

Author : James Berger
Publisher : Springer Science & Business Media
ISBN 13 : 147571727X
Total Pages : 440 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Statistical Decision Theory by : James Berger

Download or read book Statistical Decision Theory written by James Berger and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision theory is generally taught in one of two very different ways. When of opti taught by theoretical statisticians, it tends to be presented as a set of mathematical techniques mality principles, together with a collection of various statistical procedures. When useful in establishing the optimality taught by applied decision theorists, it is usually a course in Bayesian analysis, showing how this one decision principle can be applied in various practical situations. The original goal I had in writing this book was to find some middle ground. I wanted a book which discussed the more theoretical ideas and techniques of decision theory, but in a manner that was constantly oriented towards solving statistical problems. In particular, it seemed crucial to include a discussion of when and why the various decision prin ciples should be used, and indeed why decision theory is needed at all. This original goal seemed indicated by my philosophical position at the time, which can best be described as basically neutral. I felt that no one approach to decision theory (or statistics) was clearly superior to the others, and so planned a rather low key and impartial presentation of the competing ideas. In the course of writing the book, however, I turned into a rabid Bayesian. There was no single cause for this conversion; just a gradual realization that things seemed to ultimately make sense only when looked at from the Bayesian viewpoint.

Statistical Decision Theory and Related Topics

Author : Shanti Swarup Gupta
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Statistical Decision Theory and Related Topics by : Shanti Swarup Gupta

Download or read book Statistical Decision Theory and Related Topics written by Shanti Swarup Gupta and published by . This book was released on 1971 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Decision Theory and Related Topics.

Statistical Decision Theory and Bayesian Analysis

Author : James O. Berger
Publisher : Springer Science & Business Media
ISBN 13 : 147574286X
Total Pages : 633 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Statistical Decision Theory and Bayesian Analysis by : James O. Berger

Download or read book Statistical Decision Theory and Bayesian Analysis written by James O. Berger and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Probability and Statistics

Author : B. Szyszkowicz
Publisher : Elsevier
ISBN 13 : 9780080499529
Total Pages : 914 pages
Book Rating : 4.4/5 (995 download)

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Book Synopsis Asymptotic Methods in Probability and Statistics by : B. Szyszkowicz

Download or read book Asymptotic Methods in Probability and Statistics written by B. Szyszkowicz and published by Elsevier. This book was released on 1998-10-29 with total page 914 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the aims of the conference on which this book is based, was to provide a platform for the exchange of recent findings and new ideas inspired by the so-called Hungarian construction and other approximate methodologies. This volume of 55 papers is dedicated to Miklós Csörgő a co-founder of the Hungarian construction school by the invited speakers and contributors to ICAMPS'97. This excellent treatize reflects the many developments in this field, while pointing to new directions to be explored. An unequalled contribution to research in probability and statistics.

Asymptotic Methods in Probability and Statistics with Applications

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 1461202094
Total Pages : 541 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Asymptotic Methods in Probability and Statistics with Applications by : N. Balakrishnan

Download or read book Asymptotic Methods in Probability and Statistics with Applications written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditions of the 150-year-old St. Petersburg School of Probability and Statis tics had been developed by many prominent scientists including P. L. Cheby chev, A. M. Lyapunov, A. A. Markov, S. N. Bernstein, and Yu. V. Linnik. In 1948, the Chair of Probability and Statistics was established at the Department of Mathematics and Mechanics of the St. Petersburg State University with Yu. V. Linik being its founder and also the first Chair. Nowadays, alumni of this Chair are spread around Russia, Lithuania, France, Germany, Sweden, China, the United States, and Canada. The fiftieth anniversary of this Chair was celebrated by an International Conference, which was held in St. Petersburg from June 24-28, 1998. More than 125 probabilists and statisticians from 18 countries (Azerbaijan, Canada, Finland, France, Germany, Hungary, Israel, Italy, Lithuania, The Netherlands, Norway, Poland, Russia, Taiwan, Turkey, Ukraine, Uzbekistan, and the United States) participated in this International Conference in order to discuss the current state and perspectives of Probability and Mathematical Statistics. The conference was organized jointly by St. Petersburg State University, St. Petersburg branch of Mathematical Institute, and the Euler Institute, and was partially sponsored by the Russian Foundation of Basic Researches. The main theme of the Conference was chosen in the tradition of the St.