Theory of Statistical Experiments

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Publisher : Springer Science & Business Media
ISBN 13 : 1461382181
Total Pages : 300 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Theory of Statistical Experiments by : H. Heyer

Download or read book Theory of Statistical Experiments written by H. Heyer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: By a statistical experiment we mean the procedure of drawing a sample with the intention of making a decision. The sample values are to be regarded as the values of a random variable defined on some meas urable space, and the decisions made are to be functions of this random variable. Although the roots of this notion of statistical experiment extend back nearly two hundred years, the formal treatment, which involves a description of the possible decision procedures and a conscious attempt to control errors, is of much more recent origin. Building upon the work of R. A. Fisher, J. Neyman and E. S. Pearson formalized many deci sion problems associated with the testing of hypotheses. Later A. Wald gave the first completely general formulation of the problem of statisti cal experimentation and the associated decision theory. These achieve ments rested upon the fortunate fact that the foundations of probability had by then been laid bare, for it appears to be necessary that any such quantitative theory of statistics be based upon probability theory. The present state of this theory has benefited greatly from contri butions by D. Blackwell and L. LeCam whose fundamental articles expanded the mathematical theory of statistical experiments into the field of com parison of experiments. This will be the main motivation for the ap proach to the subject taken in this book.

Statistical Experiments and Decisions

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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?.

Mathematical Theory of Statistics

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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 Analysis of Designed Experiments

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Publisher : John Wiley & Sons
ISBN 13 : 1118491432
Total Pages : 720 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Statistical Analysis of Designed Experiments by : Ajit C. Tamhane

Download or read book Statistical Analysis of Designed Experiments written by Ajit C. Tamhane and published by John Wiley & Sons. This book was released on 2012-09-12 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: A indispensable guide to understanding and designing modern experiments The tools and techniques of Design of Experiments (DOE) allow researchers to successfully collect, analyze, and interpret data across a wide array of disciplines. Statistical Analysis of Designed Experiments provides a modern and balanced treatment of DOE methodology with thorough coverage of the underlying theory and standard designs of experiments, guiding the reader through applications to research in various fields such as engineering, medicine, business, and the social sciences. The book supplies a foundation for the subject, beginning with basic concepts of DOE and a review of elementary normal theory statistical methods. Subsequent chapters present a uniform, model-based approach to DOE. Each design is presented in a comprehensive format and is accompanied by a motivating example, discussion of the applicability of the design, and a model for its analysis using statistical methods such as graphical plots, analysis of variance (ANOVA), confidence intervals, and hypothesis tests. Numerous theoretical and applied exercises are provided in each chapter, and answers to selected exercises are included at the end of the book. An appendix features three case studies that illustrate the challenges often encountered in real-world experiments, such as randomization, unbalanced data, and outliers. Minitab® software is used to perform analyses throughout the book, and an accompanying FTP site houses additional exercises and data sets. With its breadth of real-world examples and accessible treatment of both theory and applications, Statistical Analysis of Designed Experiments is a valuable book for experimental design courses at the upper-undergraduate and graduate levels. It is also an indispensable reference for practicing statisticians, engineers, and scientists who would like to further their knowledge of DOE.

Comparison of Statistical Experiments

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Publisher : Cambridge University Press
ISBN 13 : 9780521250306
Total Pages : 706 pages
Book Rating : 4.2/5 (53 download)

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Book Synopsis Comparison of Statistical Experiments by : Erik Torgersen

Download or read book Comparison of Statistical Experiments written by Erik Torgersen and published by Cambridge University Press. This book was released on 1991-03-14 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are a number of important questions associated with statistical experiments: when does one given experiment yield more information than another; how can we measure the difference in information; how fast does information accumulate by repeating the experiment? The means of answering such questions has emerged from the work of Wald, Blackwell, LeCam and others and is based on the ideas of risk and deficiency. The present work which is devoted to the various methods of comparing statistical experiments, is essentially self-contained, requiring only some background in measure theory and functional analysis. Chapters introducing statistical experiments and the necessary convex analysis begin the book and are followed by others on game theory, decision theory and vector lattices. The notion of deficiency, which measures the difference in information between two experiments, is then introduced. The relation between it and other concepts, such as sufficiency, randomisation, distance, ordering, equivalence, completeness and convergence are explored. This is a comprehensive treatment of the subject and will be an essential reference for mathematical statisticians.

The Statistical Analysis of Experimental Data

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Publisher : Courier Corporation
ISBN 13 : 048613959X
Total Pages : 432 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Statistical Analysis of Experimental Data by : John Mandel

Download or read book The Statistical Analysis of Experimental Data written by John Mandel and published by Courier Corporation. This book was released on 2012-06-08 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: First half of book presents fundamental mathematical definitions, concepts, and facts while remaining half deals with statistics primarily as an interpretive tool. Well-written text, numerous worked examples with step-by-step presentation. Includes 116 tables.

The Design of Experiments

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Publisher : Cambridge University Press
ISBN 13 : 9780521287623
Total Pages : 640 pages
Book Rating : 4.2/5 (876 download)

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Book Synopsis The Design of Experiments by : R. Mead

Download or read book The Design of Experiments written by R. Mead and published by Cambridge University Press. This book was released on 1990-07-26 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: In all the experimental sciences, good design of experiments is crucial to the success of research. Well-planned experiments can provide a great deal of information efficiently and can be used to test several hypotheses simultaneously. This book is about the statistical principles of good experimental design and is intended for all applied statisticians and practising scientists engaged in the design, implementation and analysis of experiments. Professor Mead has written the book with the emphasis on the logical principles of statistical design and employs a minimum of mathematics. Throughout he assumes that the large-scale analysis of data will be performed by computers and he is thus able to devote more attention to discussions of how all of the available information can be used to extract the clearest answers to many questions. The principles are illustrated with a wide range of examples drawn from medicine, agriculture, industry and other disciplines. Numerous exercises are given to help the reader practise techniques and to appreciate the difference that good design of experiments can make to a scientific project.

Statistical Theory of the Analysis of Experimental Designs

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Publisher :
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Statistical Theory of the Analysis of Experimental Designs by : Junjirō Ogawa

Download or read book Statistical Theory of the Analysis of Experimental Designs written by Junjirō Ogawa and published by . This book was released on 1974 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of variance. The partition of a sum of squares corrected by the mean. Normal theory of distribution problems. Testing the hypothesis on regression coefficients. General linear hypothesis. Analysis of variance in a two-way classification in matrix language. Design of experiments. General remarks. Randomization. Randomized block design. Latin-square design, greco-latin square design. Factorial design. Need for the factorial principle. Fractional replication of a factorial design. Theory of block designs-intrablock analysis. Theory of block designs-interblock analysis. Randomization of partially balanced incomplete block designs.

Asymptotic Methods in Statistical Decision Theory

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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.

Theory of Games and Statistical Decisions

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Publisher : Courier Corporation
ISBN 13 : 0486150895
Total Pages : 388 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Theory of Games and Statistical Decisions by : David A. Blackwell

Download or read book Theory of Games and Statistical Decisions written by David A. Blackwell and published by Courier Corporation. This book was released on 2012-06-14 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics.

Statistical Experiments and Decisions

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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 Analysis of Designed Experiments

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Publisher : Springer Science & Business Media
ISBN 13 : 0387227725
Total Pages : 507 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Statistical Analysis of Designed Experiments by : Helge Toutenburg

Download or read book Statistical Analysis of Designed Experiments written by Helge Toutenburg and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in commencing with relatively simple statistical concepts and ideas found in most introductory statistical textbooks, this book goes on to cover more material useful for undergraduates and graduate in statistics and biostatistics.

Statistical Methods, Experimental Design, and Scientific Inference

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Publisher : OUP Oxford
ISBN 13 : 9780198522294
Total Pages : 832 pages
Book Rating : 4.5/5 (222 download)

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Book Synopsis Statistical Methods, Experimental Design, and Scientific Inference by : R. A. Fisher

Download or read book Statistical Methods, Experimental Design, and Scientific Inference written by R. A. Fisher and published by OUP Oxford. This book was released on 1990-04-19 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: The writings of R.A. Fisher have proved to be as relevant today as when they were written. This book brings together as a single volume three of his most influential textbooks: Statistical Methods for Research Workers, Statistical Methods and Scientific Inference, and The Design of Experiments. In a new Foreword, written for this edition, Professor Frank Yates discusses some of the key issues tackled in the textbooks, and how they relate to modern statistical practice.

Statistical Decision Theory

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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.

The Theory of the Design of Experiments

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Publisher : CRC Press
ISBN 13 : 1420035835
Total Pages : 337 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Theory of the Design of Experiments by : D.R. Cox

Download or read book The Theory of the Design of Experiments written by D.R. Cox and published by CRC Press. This book was released on 2000-06-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why study the theory of experiment design? Although it can be useful to know about special designs for specific purposes, experience suggests that a particular design can rarely be used directly. It needs adaptation to accommodate the circumstances of the experiment. Successful designs depend upon adapting general theoretical principles to the spec

Fisher, Neyman, and the Creation of Classical Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 9781441995001
Total Pages : 123 pages
Book Rating : 4.9/5 (95 download)

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Book Synopsis Fisher, Neyman, and the Creation of Classical Statistics by : Erich L. Lehmann

Download or read book Fisher, Neyman, and the Creation of Classical Statistics written by Erich L. Lehmann and published by Springer Science & Business Media. This book was released on 2011-07-25 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical statistical theory—hypothesis testing, estimation, and the design of experiments and sample surveys—is mainly the creation of two men: Ronald A. Fisher (1890-1962) and Jerzy Neyman (1894-1981). Their contributions sometimes complemented each other, sometimes occurred in parallel, and, particularly at later stages, often were in strong opposition. The two men would not be pleased to see their names linked in this way, since throughout most of their working lives they detested each other. Nevertheless, they worked on the same problems, and through their combined efforts created a new discipline. This new book by E.L. Lehmann, himself a student of Neyman’s, explores the relationship between Neyman and Fisher, as well as their interactions with other influential statisticians, and the statistical history they helped create together. Lehmann uses direct correspondence and original papers to recreate an historical account of the creation of the Neyman-Pearson Theory as well as Fisher’s dissent, and other important statistical theories.

The Statistical Analysis of Quasi-Experiments

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Publisher : Univ of California Press
ISBN 13 : 0520332229
Total Pages : 188 pages
Book Rating : 4.5/5 (23 download)

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Book Synopsis The Statistical Analysis of Quasi-Experiments by : Christopher H. Achen

Download or read book The Statistical Analysis of Quasi-Experiments written by Christopher H. Achen and published by Univ of California Press. This book was released on 2023-07-28 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1986.