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Sequential Statistics
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Book Synopsis Sequential Analysis by : Abraham Wald
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.
Book Synopsis Sequential Analysis by : David Siegmund
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.
Book Synopsis Sequential Methods in Statistics by : G. Barrie Wetherill
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.
Book Synopsis Sequential Analysis by : Alexander Tartakovsky
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
Book Synopsis Sequential Experimentation in Clinical Trials by : Jay Bartroff
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.
Book Synopsis Breakthroughs in Statistics by : Samuel Kotz
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.
Book Synopsis Handbook of Sequential Analysis by : B.K. Ghosh
Download or read book Handbook of Sequential Analysis written by B.K. Ghosh and published by CRC Press. This book was released on 1991-04-24 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sequential analysis refers to the body of statistical theory and methods where the sample size may depend in a random manner on the accumulating data. A formal theory in which optimal tests are derived for simple statistical hypotheses in such a framework was developed by Abraham Wald in the early 1
Book Synopsis Observing Interaction by : Roger Bakeman
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.
Book Synopsis Sequential Monte Carlo Methods in Practice by : Arnaud Doucet
Download or read book Sequential Monte Carlo Methods in Practice written by Arnaud Doucet and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monte Carlo methods are revolutionizing the on-line analysis of data in many fileds. They have made it possible to solve numerically many complex, non-standard problems that were previously intractable. This book presents the first comprehensive treatment of these techniques.
Book Synopsis Analyzing Interaction by : Roger Bakeman
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.
Book Synopsis Applied Sequential Methodologies by : Nitis Mukhopadhyay
Download or read book Applied Sequential Methodologies written by Nitis Mukhopadhyay and published by CRC Press. This book was released on 2004-01-28 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: A technically precise yet clear presentation of modern sequential methodologies having immediate applications to practical problems in the real world, Applied Sequential Methodologies communicates invaluable techniques for data mining, agricultural science, genetics, computer simulation, finance, clinical trials, sonar signal detection, randomization, multiple comparisons, psychology, tracking, surveillance, and numerous additional areas of application. Includes more than 500 references, 165 figures and tables, and over 25 pages of subject and author indexes. Applied Sequential Methodologies brings the crucial nature of sequential approaches up to speed with recent theoretical gains, demonstrating their utility for solving real-life problems associated with Change-point detection in multichannel and distributed systems Best component selection for multivariate distributions Multistate processes Approximations for moving sums of discrete random variables Interim and terminal analyses of clinical trials Adaptive designs for longitudinal clinical trials Slope estimation in measurement-error models Tests for randomization and target tracking Appropriate count of simulation runs Stock price models Orders of genes Size and power control in multiple comparisons Authored by 33 leading scientists, this volume will greatly benefit sequential analysts, data analysts, applied statisticians, biometricians, clinical trialists, and upper-level undergraduate and graduate students in these disciplines.
Book Synopsis Sequential Estimation by : Malay Ghosh
Download or read book Sequential Estimation written by Malay Ghosh and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only comprehensive guide to the theory and practice of one oftoday's most important probabilistic techniques The past 15 years have witnessed many significant advances insequential estimation, especially in the areas of three-stage andnonparametric methodology. Yet, until now, there were no referencesdevoted exclusively to this rapidly growing statisticalfield. Sequential Estimation is the first, single-source guide to thetheory and practice of both classical and modern sequentialestimation techniques--including parametric and nonparametricmethods. Researchers in sequential analysis will appreciate theunified, logically integrated treatment of the subject, as well ascoverage of important contemporary procedures not covered in moregeneral sequential analysis texts, such as: * Shrinkage estimation * Empirical and hierarchical Bayes procedures * Multistage sampling and accelerated sampling procedures * Time-sequential estimation * Sequential estimation in finite population sampling * Reliability estimation and capture-recapture methodologiesleading to sequential tagging schemes An indispensable resource for researchers in sequential analysis,Sequential Estimation is an ideal graduate-level text as well.
Book Synopsis Sequential Methods and Their Applications by : Nitis Mukhopadhyay
Download or read book Sequential Methods and Their Applications written by Nitis Mukhopadhyay and published by CRC Press. This book was released on 2008-10-28 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interactively Run Simulations and Experiment with Real or Simulated Data to Make Sequential Analysis Come AliveTaking an accessible, nonmathematical approach to this field, Sequential Methods and Their Applications illustrates the efficiency of sequential methodologies when dealing with contemporary statistical challenges in many areas.The book fir
Book Synopsis An Introduction to Sequential Monte Carlo by : Nicolas Chopin
Download or read book An Introduction to Sequential Monte Carlo written by Nicolas Chopin and published by Springer Nature. This book was released on 2020-10-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a general introduction to Sequential Monte Carlo (SMC) methods, also known as particle filters. These methods have become a staple for the sequential analysis of data in such diverse fields as signal processing, epidemiology, machine learning, population ecology, quantitative finance, and robotics. The coverage is comprehensive, ranging from the underlying theory to computational implementation, methodology, and diverse applications in various areas of science. This is achieved by describing SMC algorithms as particular cases of a general framework, which involves concepts such as Feynman-Kac distributions, and tools such as importance sampling and resampling. This general framework is used consistently throughout the book. Extensive coverage is provided on sequential learning (filtering, smoothing) of state-space (hidden Markov) models, as this remains an important application of SMC methods. More recent applications, such as parameter estimation of these models (through e.g. particle Markov chain Monte Carlo techniques) and the simulation of challenging probability distributions (in e.g. Bayesian inference or rare-event problems), are also discussed. The book may be used either as a graduate text on Sequential Monte Carlo methods and state-space modeling, or as a general reference work on the area. Each chapter includes a set of exercises for self-study, a comprehensive bibliography, and a “Python corner,” which discusses the practical implementation of the methods covered. In addition, the book comes with an open source Python library, which implements all the algorithms described in the book, and contains all the programs that were used to perform the numerical experiments.
Book Synopsis Sequential Tests of Statistical Hypotheses by : Bhaskar Kumar Ghosh
Download or read book Sequential Tests of Statistical Hypotheses written by Bhaskar Kumar Ghosh and published by . This book was released on 1970 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a systematic account of the mathematical theory in this field as applied to problems of hypothesis testing. The resulting methods are predominantly sequential probability ratio tests. A brief account of classical tests under the neyman-pearson formulation is included. The notion of sequential analysis has been used in some form or other in various branches of statistical inference. We may classify these branches into three broad categories: Statistical tests of hypotheses, statistical estimation, and statistical decision theory.
Book Synopsis Sequential statistics by : Z. Govindarajulu
Download or read book Sequential statistics written by Z. Govindarajulu and published by World Scientific. This book was released on 2004 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains topics that can be covered in a single-semester course. Only elementary proofs are provided, and thus the mathematics and statistics are maintained at a basic level. Only a course in each of three areas ? advanced calculus, probability and statistical inference ? is assumed of the student. The book has a chapter on applications to biostatistics and a supplement presenting computer programs for selected sequential procedures. Identified problems are provided at the end of each chapter.
Book Synopsis Sequential Analysis and Observational Methods for the Behavioral Sciences by : Roger Bakeman
Download or read book Sequential Analysis and Observational Methods for the Behavioral Sciences written by Roger Bakeman and published by Cambridge University Press. This book was released on 2011-10-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Behavioral scientists – including those in psychology, infant and child development, education, animal behavior, marketing and usability studies – use many methods to measure behavior. Systematic observation is used to study relatively natural, spontaneous behavior as it unfolds sequentially in time. This book emphasizes digital means to record and code such behavior; while observational methods do not require them, they work better with them. Key topics include devising coding schemes, training observers and assessing reliability, as well as recording, representing and analyzing observational data. In clear and straightforward language, this book provides a thorough grounding in observational methods along with considerable practical advice. It describes standard conventions for sequential data and details how to perform sequential analysis with a computer program developed by the authors. The book is rich with examples of coding schemes and different approaches to sequential analysis, including both statistical and graphical means.
