Sequential Statistical Procedures

Author : G. Barrie Wetherill
Publisher : Chapman & Hall
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.87/5 ( download)

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Download or read book Sequential Methods in Statistics written by G. Barrie Wetherill and published by Chapman & Hall. This book was released on 1975 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sequential probability ratin test; Sequential tests between three hypotheses; Extensions to the SPRT; Some applications of Cox's theorem; Some methods leading to closed boundaries; Decision theory; Sequential estimation; Sequential estimation of points on regression functions; Sequential estimation of points on quantal response curves; Double sampling; Selection procedures.

Author : Z. Govindarajulu
Publisher : Academic Press
ISBN 13 : 1483263320
Total Pages : 585 pages
Book Rating : 4.28/5 ( download)

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Download or read book Sequential Statistical Procedures written by Z. Govindarajulu and published by Academic Press. This book was released on 2014-06-20 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Mathematical Statistics, Volume 26: Sequential Statistical Procedures provides information pertinent to the sequential procedures that are concerned with statistical analysis of data. This book discusses the fundamental aspects of sequential estimation. Organized into four chapters, this volume begins with an overview of the essential feature of sequential procedure. This text then examines the sequential probability ratio test procedure and provides a method of constructing a most powerful test for a simple hypothesis versus simple alternative-testing problem. Other chapters consider the problem of testing a composite hypothesis against a composite alternative. This book discusses as well the theory of sequential tests that is appropriate for distinguishing between two simple or composite hypotheses. The final chapter deals with the theory of sequential estimation. This book is a valuable resource for graduate students, research workers, and users of sequential procedures.

Author : Abraham Wald
Publisher : Courier Corporation
ISBN 13 : 0486783235
Total Pages : 224 pages
Book Rating : 4.39/5 ( download)

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Download or read book Sequential Analysis written by Abraham Wald and published by Courier Corporation. This book was released on 2013-11-26 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first to solve the general problem of sequential tests of statistical hypotheses, the author of this text explains his revolutionary theory of the sequential probability ratio test and its applications. 1947 edition.

Author : Jay Bartroff
Publisher : Springer Science & Business Media
ISBN 13 : 1461461146
Total Pages : 250 pages
Book Rating : 4.42/5 ( download)

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Download or read book Sequential Experimentation in Clinical Trials written by Jay Bartroff and published by Springer Science & Business Media. This book was released on 2012-12-12 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sequential Experimentation in Clinical Trials: Design and Analysis is developed from decades of work in research groups, statistical pedagogy, and workshop participation. Different parts of the book can be used for short courses on clinical trials, translational medical research, and sequential experimentation. The authors have successfully used the book to teach innovative clinical trial designs and statistical methods for Statistics Ph.D. students at Stanford University. There are additional online supplements for the book that include chapter-specific exercises and information. Sequential Experimentation in Clinical Trials: Design and Analysis covers the much broader subject of sequential experimentation that includes group sequential and adaptive designs of Phase II and III clinical trials, which have attracted much attention in the past three decades. In particular, the broad scope of design and analysis problems in sequential experimentation clearly requires a wide range of statistical methods and models from nonlinear regression analysis, experimental design, dynamic programming, survival analysis, resampling, and likelihood and Bayesian inference. The background material in these building blocks is summarized in Chapter 2 and Chapter 3 and certain sections in Chapter 6 and Chapter 7. Besides group sequential tests and adaptive designs, the book also introduces sequential change-point detection methods in Chapter 5 in connection with pharmacovigilance and public health surveillance. Together with dynamic programming and approximate dynamic programming in Chapter 3, the book therefore covers all basic topics for a graduate course in sequential analysis designs.

Author : David Siegmund
Publisher : Springer Science & Business Media
ISBN 13 : 1475718624
Total Pages : 285 pages
Book Rating : 4.21/5 ( download)

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Download or read book Sequential Analysis written by David Siegmund and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modern theory of Sequential Analysis came into existence simultaneously in the United States and Great Britain in response to demands for more efficient sampling inspection procedures during World War II. The develop ments were admirably summarized by their principal architect, A. Wald, in his book Sequential Analysis (1947). In spite of the extraordinary accomplishments of this period, there remained some dissatisfaction with the sequential probability ratio test and Wald's analysis of it. (i) The open-ended continuation region with the concomitant possibility of taking an arbitrarily large number of observations seems intol erable in practice. (ii) Wald's elegant approximations based on "neglecting the excess" of the log likelihood ratio over the stopping boundaries are not especially accurate and do not allow one to study the effect oftaking observa tions in groups rather than one at a time. (iii) The beautiful optimality property of the sequential probability ratio test applies only to the artificial problem of testing a simple hypothesis against a simple alternative. In response to these issues and to new motivation from the direction of controlled clinical trials numerous modifications of the sequential probability ratio test were proposed and their properties studied-often by simulation or lengthy numerical computation. (A notable exception is Anderson, 1960; see III.7.) In the past decade it has become possible to give a more complete theoretical analysis of many of the proposals and hence to understand them better.

Author : Alexander Tartakovsky
Publisher : CRC Press
ISBN 13 : 1439838216
Total Pages : 600 pages
Book Rating : 4.11/5 ( download)

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Download or read book Sequential Analysis written by Alexander Tartakovsky and published by CRC Press. This book was released on 2014-08-27 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sequential Analysis: Hypothesis Testing and Changepoint Detection systematically develops the theory of sequential hypothesis testing and quickest changepoint detection. It also describes important applications in which theoretical results can be used efficiently. The book reviews recent accomplishments in hypothesis testing and changepoint detecti

Author : Samuel Kotz
Publisher : Springer Science & Business Media
ISBN 13 : 1461206677
Total Pages : 576 pages
Book Rating : 4.75/5 ( download)

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Download or read book Breakthroughs in Statistics written by Samuel Kotz and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume III includes more selections of articles that have initiated fundamental changes in statistical methodology. It contains articles published before 1980 that were overlooked in the previous two volumes plus articles from the 1980's - all of them chosen after consulting many of today's leading statisticians.

Author : Roger Bakeman
Publisher : Cambridge University Press
ISBN 13 : 9780521574273
Total Pages : 226 pages
Book Rating : 4.77/5 ( download)

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Download or read book Observing Interaction written by Roger Bakeman and published by Cambridge University Press. This book was released on 1997-03-13 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mothers and infants exchanging gleeful vocalizations, married couples discussing their problems, children playing, birds courting and monkeys fighting have this in common: their interactions with others unfold over time. Almost anyone who is interested can observe and describe such phenomena. But usually scientists demand more. They want observations that are replicable and amenable to scientific analysis, while still faithful to the dynamics of the phenomena studied. This book provides a straightforward introduction to scientific methods for observing social behavior. Because of the importance of time in the dynamics of social interaction, sequential approaches to analyzing and understanding social behavior are emphasized. An advanced knowledge of statistical analysis is not required. Instead, the authors present fundamental concepts and offer practical advice.

Author : Roger Bakeman
Publisher : Cambridge University Press
ISBN 13 : 9780521449014
Total Pages : 172 pages
Book Rating : 4.14/5 ( download)

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Download or read book Analyzing Interaction written by Roger Bakeman and published by Cambridge University Press. This book was released on 1995-07-28 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzing Interaction provides the practical underpinning and tools to carry out the sorts of sequential analyses essential to social psychology.

Author : Abraham Wald
Publisher : Courier Corporation
ISBN 13 : 9780486439129
Total Pages : 230 pages
Book Rating : 4.27/5 ( download)

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Download or read book Sequential Analysis written by Abraham Wald and published by Courier Corporation. This book was released on 2004-06-10 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inventor of a statistical inference system book describes his system and its applications. Discusses the general theory of the sequential probability ratio test, with comparisons to traditional statistical inference systems; applications that illustrate the general theory and of theoretical interest specific to these applications; possible approaches to the problem of sequential multi-valued decisions and estimation.