Sequential Methods And Their Applications

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Sequential Methods and Their Applications

Author : Nitis Mukhopadhyay
Publisher : CRC Press
ISBN 13 : 9781420010022
Total Pages : 504 pages
Book Rating : 4.0/5 (1 download)

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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 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interactively Run Simulations and Experiment with Real or Simulated Data to Make Sequential Analysis Come Alive Taking 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 first explores fixed sample size, sequential probability ratio, and nonparametric tests. It then presents numerous multistage estimation methods for fixed-width confidence interval as well as minimum and bounded risk problems. The book also describes multistage fixed-size confidence region methodologies, selection methodologies, and Bayesian estimation. Through diverse applications, each chapter provides valuable approaches for performing statistical experiments and facilitating real data analysis. Functional in a variety of statistical problems, the authors’ interactive computer programs show how the methodologies discussed can be implemented in data analysis. Each chapter offers examples of input, output, and their interpretations. Available online, the programs provide the option to save some parts of an output so readers can revisit computer-generated data for further examination with exploratory data analysis. Through this book and its computer programs, readers will better understand the methods of sequential analysis and be able to use them in real-world settings.

Group Sequential Methods with Applications to Clinical Trials

Author : Christopher Jennison
Publisher : CRC Press
ISBN 13 : 9781584888581
Total Pages : 416 pages
Book Rating : 4.8/5 (885 download)

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Book Synopsis Group Sequential Methods with Applications to Clinical Trials by : Christopher Jennison

Download or read book Group Sequential Methods with Applications to Clinical Trials written by Christopher Jennison and published by CRC Press. This book was released on 1999-09-15 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group sequential methods answer the needs of clinical trial monitoring committees who must assess the data available at an interim analysis. These interim results may provide grounds for terminating the study-effectively reducing costs-or may benefit the general patient population by allowing early dissemination of its findings. Group sequential methods provide a means to balance the ethical and financial advantages of stopping a study early against the risk of an incorrect conclusion. Group Sequential Methods with Applications to Clinical Trials describes group sequential stopping rules designed to reduce average study length and control Type I and II error probabilities. The authors present one-sided and two-sided tests, introduce several families of group sequential tests, and explain how to choose the most appropriate test and interim analysis schedule. Their topics include placebo-controlled randomized trials, bio-equivalence testing, crossover and longitudinal studies, and linear and generalized linear models. Research in group sequential analysis has progressed rapidly over the past 20 years. Group Sequential Methods with Applications to Clinical Trials surveys and extends current methods for planning and conducting interim analyses. It provides straightforward descriptions of group sequential hypothesis tests in a form suited for direct application to a wide variety of clinical trials. Medical statisticians engaged in any investigations planned with interim analyses will find this book a useful and important tool.

Applied Sequential Methodologies

Author : Nitis Mukhopadhyay
Publisher : CRC Press
ISBN 13 : 9780824753955
Total Pages : 498 pages
Book Rating : 4.7/5 (539 download)

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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.

Sequential Monte Carlo Methods in Practice

Author : Arnaud Doucet
Publisher : Springer Science & Business Media
ISBN 13 : 1475734379
Total Pages : 590 pages
Book Rating : 4.4/5 (757 download)

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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.

Sequential Methods in Statistics

Author : G. Barrie Wetherill
Publisher : Chapman & Hall
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)

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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.

Advances in Sequence Analysis: Theory, Method, Applications

Author : Philippe Blanchard
Publisher : Springer
ISBN 13 : 3319049690
Total Pages : 304 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Advances in Sequence Analysis: Theory, Method, Applications by : Philippe Blanchard

Download or read book Advances in Sequence Analysis: Theory, Method, Applications written by Philippe Blanchard and published by Springer. This book was released on 2014-07-02 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a general view of sequence analysis, the statistical study of successions of states or events. It includes innovative contributions on life course studies, transitions into and out of employment, contemporaneous and historical careers, and political trajectories. The approach presented in this book is now central to the life-course perspective and the study of social processes more generally. This volume promotes the dialogue between approaches to sequence analysis that developed separately, within traditions contrasted in space and disciplines. It includes the latest developments in sequential concepts, coding, atypical datasets and time patterns, optimal matching and alternative algorithms, survey optimization, and visualization. Field studies include original sequential material related to parenting in 19th-century Belgium, higher education and work in Finland and Italy, family formation before and after German reunification, French Jews persecuted in occupied France, long-term trends in electoral participation, and regime democratization. Overall the book reassesses the classical uses of sequences and it promotes new ways of collecting, formatting, representing and processing them. The introduction provides basic sequential concepts and tools, as well as a history of the method. Chapters are presented in a way that is both accessible to the beginner and informative to the expert.

Sequential Experimentation in Clinical Trials

Author : Jay Bartroff
Publisher : Springer Science & Business Media
ISBN 13 : 1461461146
Total Pages : 250 pages
Book Rating : 4.4/5 (614 download)

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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.

Sequential Analysis

Author : Alexander Tartakovsky
Publisher : CRC Press
ISBN 13 : 1439838216
Total Pages : 600 pages
Book Rating : 4.4/5 (398 download)

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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

Sequential Analysis and Observational Methods for the Behavioral Sciences

Author : Roger Bakeman
Publisher : Cambridge University Press
ISBN 13 : 1139504606
Total Pages : pages
Book Rating : 4.1/5 (395 download)

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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.

Biopharmaceutical Sequential Statistical Applications

Author : Karl E. Peace
Publisher : CRC Press
ISBN 13 : 9780824786281
Total Pages : 384 pages
Book Rating : 4.7/5 (862 download)

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Book Synopsis Biopharmaceutical Sequential Statistical Applications by : Karl E. Peace

Download or read book Biopharmaceutical Sequential Statistical Applications written by Karl E. Peace and published by CRC Press. This book was released on 1992-03-25 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on group sequential procedures, summarizes the sequential statistical methods used in anticancer, antiviral, cardiovascular, and gastrointestinal drug research and screening. The clinical and preclinical applications are mainly presented as case studies, many of which form part of New Drug

Methods and Applications of Statistics in the Life and Health Sciences

Author : Narayanaswamy Balakrishnan
Publisher : John Wiley & Sons
ISBN 13 : 0470405090
Total Pages : 1027 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Methods and Applications of Statistics in the Life and Health Sciences by : Narayanaswamy Balakrishnan

Download or read book Methods and Applications of Statistics in the Life and Health Sciences written by Narayanaswamy Balakrishnan and published by John Wiley & Sons. This book was released on 2009-12-02 with total page 1027 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by the Encyclopedia of Statistical Sciences, Second Edition, this volume outlines the statistical tools for successfully working with modern life and health sciences research Data collection holds an essential part in dictating the future of health sciences and public health, as the compilation of statistics allows researchers and medical practitioners to monitor trends in health status, identify health problems, and evaluate the impact of health policies and programs. Methods and Applications of Statistics in the Life and Health Sciences serves as a single, one-of-a-kind resource on the wide range of statistical methods, techniques, and applications that are applied in modern life and health sciences in research. Specially designed to present encyclopedic content in an accessible and self-contained format, this book outlines thorough coverage of the underlying theory and standard applications to research in related disciplines such as biology, epidemiology, clinical trials, and public health. Uniquely combining established literature with cutting-edge research, this book contains classical works and more than twenty-five new articles and completely revised contributions from the acclaimed Encyclopedia of Statistical Sciences, Second Edition. The result is a compilation of more than eighty articles that explores classic methodology and new topics, including: Sequential methods in biomedical research Statistical measures of human quality of life Change-point methods in genetics Sample size determination for clinical trials Mixed-effects regression models for predicting pre-clinical disease Probabilistic and statistical models for conception Statistical methods are explored and applied to population growth, disease detection and treatment, genetic and genomic research, drug development, clinical trials, screening and prevention, and the assessment of rehabilitation, recovery, and quality of life. These topics are explored in contributions written by more than 100 leading academics, researchers, and practitioners who utilize various statistical practices, such as election bias, survival analysis, missing data techniques, and cluster analysis for handling the wide array of modern issues in the life and health sciences. With its combination of traditional methodology and newly developed research, Methods and Applications of Statistics in the Life and Health Sciences has everything students, academics, and researchers in the life and health sciences need to build and apply their knowledge of statistical methods and applications.

An Introduction to Sequential Monte Carlo

Author : Nicolas Chopin
Publisher : Springer Nature
ISBN 13 : 3030478459
Total Pages : 378 pages
Book Rating : 4.0/5 (34 download)

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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.

Sequential Estimation

Author : Malay Ghosh
Publisher : John Wiley & Sons
ISBN 13 : 1118165918
Total Pages : 504 pages
Book Rating : 4.1/5 (181 download)

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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.

The Design and Analysis of Sequential Clinical Trials

Author : John Whitehead
Publisher : Horwood Publishing Limited
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Design and Analysis of Sequential Clinical Trials by : John Whitehead

Download or read book The Design and Analysis of Sequential Clinical Trials written by John Whitehead and published by Horwood Publishing Limited. This book was released on 1983 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details all aspects of sequential clinical trials from preliminary planning, through the monitoring of the trial, to the final analysis of the results.

Observing Interaction

Author : Roger Bakeman
Publisher : Cambridge University Press
ISBN 13 : 9780521574273
Total Pages : 226 pages
Book Rating : 4.5/5 (742 download)

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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.

Nonlinear Renewal Theory in Sequential Analysis

Author : Michael Woodroofe
Publisher : SIAM
ISBN 13 : 9781611970302
Total Pages : 124 pages
Book Rating : 4.9/5 (73 download)

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Book Synopsis Nonlinear Renewal Theory in Sequential Analysis by : Michael Woodroofe

Download or read book Nonlinear Renewal Theory in Sequential Analysis written by Michael Woodroofe and published by SIAM. This book was released on 1982-01-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The global approach to nonlinear renewal theory is integrated with the author's own local approach. Both the theory and its applications are placed in perspective by including a discussion of the linear renewal theorem and its applications to the sequential probability ratio test. Applications to repeated significance tests, to tests with power one, and to sequential estimation are also included. The monograph is self-contained for readers with a working knowledge of measure-theoretic probability and intermediate statistical theory.

Handbook of Sequential Analysis

Author : B.K. Ghosh
Publisher : CRC Press
ISBN 13 : 9780824784089
Total Pages : 672 pages
Book Rating : 4.7/5 (84 download)

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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