Sequential Methods in Statistics , 3rd Edition

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Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Sequential Methods in Statistics , 3rd Edition by : G.B. Wetherill

Download or read book Sequential Methods in Statistics , 3rd Edition written by G.B. Wetherill and published by Chapman and Hall/CRC. This book was released on 1986-07 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Work on sequential methods has recently developed considerably. This introductory text has been revised to include later developments and seeks to equip scientists with the knowledge and understanding of statistical methods used in the interpretation of quantitative data. As with the previous editions particular emphasis has been placed on methods which are of importance in practical applications.

Sequential Methods in Statistics

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Author :
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.

Sequential Methods and Their Applications

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Publisher : CRC Press
ISBN 13 : 1420010026
Total Pages : 512 pages
Book Rating : 4.4/5 (2 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 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

Sequential Monte Carlo Methods in Practice

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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.

Tensor Methods in Statistics

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Publisher : CRC Press
ISBN 13 : 1351094017
Total Pages : 226 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Tensor Methods in Statistics by : P. McCullagh

Download or read book Tensor Methods in Statistics written by P. McCullagh and published by CRC Press. This book was released on 2018-01-18 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic development of tensor methods in statistics, beginning with the study of multivariate moments and cumulants. The effect on moment arrays and on cumulant arrays of making linear or affine transformations of the variables is studied. Because of their importance in statistical theory, invariant functions of the cumulants are studied in some detail. This is followed by an examination of the effect of making a polynomial transformation of the original variables. The fundamental operation of summing over complementary set partitions is introduced at this stage. This operation shapes the notation and pervades much of the remainder of the book. The necessary lattice-theory is discussed and suitable tables of complementary set partitions are provided. Subsequent chapters deal with asymptotic approximations based on Edgeworth expansion and saddlepoint expansion. The saddlepoint expansion is introduced via the Legendre transformation of the cumulant generating function, also known as the conjugate function of the cumulant generating function. A recurring them is that, with suitably chosen notation, multivariate calculations are often simpler and more transparent than the corresponding univariate calculations. The final two chapters deal with likelihood ratio statistics, maximum likelihood estimation and the effect on inferences of conditioning on ancillary or approximately ancillary statistics. The Bartlett adjustment factor is derived in the general case and simplified for certain types of generalized linear models. Finally, Barndorff-Nielsen's formula for the conditional distribution of the maximum liklelihood estimator is derived and discussed. More than 200 Exercises are provided to illustrate the uses of tensor methodology.

Group Sequential Methods with Applications to Clinical Trials

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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.

Design and Analysis of Cross-Over Trials

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Publisher : CRC Press
ISBN 13 : 1439861439
Total Pages : 431 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Design and Analysis of Cross-Over Trials by : Byron Jones

Download or read book Design and Analysis of Cross-Over Trials written by Byron Jones and published by CRC Press. This book was released on 2014-10-08 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design and Analysis of Cross-Over Trials is concerned with a specific kind of comparative trial known as the cross-over trial, in which subjects receive different sequences of treatments. Such trials are widely used in clinical and medical research, and in other diverse areas such as veterinary science, psychology, sports science, and agriculture.T

Mean Field Simulation for Monte Carlo Integration

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Publisher : CRC Press
ISBN 13 : 1466504056
Total Pages : 628 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Mean Field Simulation for Monte Carlo Integration by : Pierre Del Moral

Download or read book Mean Field Simulation for Monte Carlo Integration written by Pierre Del Moral and published by CRC Press. This book was released on 2013-05-20 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last three decades, there has been a dramatic increase in the use of interacting particle methods as a powerful tool in real-world applications of Monte Carlo simulation in computational physics, population biology, computer sciences, and statistical machine learning. Ideally suited to parallel and distributed computation, these advanced particle algorithms include nonlinear interacting jump diffusions; quantum, diffusion, and resampled Monte Carlo methods; Feynman-Kac particle models; genetic and evolutionary algorithms; sequential Monte Carlo methods; adaptive and interacting Markov chain Monte Carlo models; bootstrapping methods; ensemble Kalman filters; and interacting particle filters. Mean Field Simulation for Monte Carlo Integration presents the first comprehensive and modern mathematical treatment of mean field particle simulation models and interdisciplinary research topics, including interacting jumps and McKean-Vlasov processes, sequential Monte Carlo methodologies, genetic particle algorithms, genealogical tree-based algorithms, and quantum and diffusion Monte Carlo methods. Along with covering refined convergence analysis on nonlinear Markov chain models, the author discusses applications related to parameter estimation in hidden Markov chain models, stochastic optimization, nonlinear filtering and multiple target tracking, stochastic optimization, calibration and uncertainty propagations in numerical codes, rare event simulation, financial mathematics, and free energy and quasi-invariant measures arising in computational physics and population biology. This book shows how mean field particle simulation has revolutionized the field of Monte Carlo integration and stochastic algorithms. It will help theoretical probability researchers, applied statisticians, biologists, statistical physicists, and computer scientists work better across their own disciplinary boundaries.

Stochastic Analysis for Gaussian Random Processes and Fields

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Publisher : CRC Press
ISBN 13 : 1498707823
Total Pages : 200 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Stochastic Analysis for Gaussian Random Processes and Fields by : Vidyadhar S. Mandrekar

Download or read book Stochastic Analysis for Gaussian Random Processes and Fields written by Vidyadhar S. Mandrekar and published by CRC Press. This book was released on 2015-06-23 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Analysis for Gaussian Random Processes and Fields: With Applications presents Hilbert space methods to study deep analytic properties connecting probabilistic notions. In particular, it studies Gaussian random fields using reproducing kernel Hilbert spaces (RKHSs).The book begins with preliminary results on covariance and associated RKHS

Robust Cluster Analysis and Variable Selection

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Publisher : CRC Press
ISBN 13 : 1439857970
Total Pages : 389 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Robust Cluster Analysis and Variable Selection by : Gunter Ritter

Download or read book Robust Cluster Analysis and Variable Selection written by Gunter Ritter and published by CRC Press. This book was released on 2014-09-02 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clustering remains a vibrant area of research in statistics. Although there are many books on this topic, there are relatively few that are well founded in the theoretical aspects. This book presents an overview of the theory and applications of probabilistic clustering and variable selection, synthesizing the key research results of the last 50 years. It includes all the important theoretical details, and covers the probabilistic models and inference, robustness issues, optimization algorithms, validation techniques and variable selection methods. The book illustrates the different methods with simulated data and applies them to real-world data sets that can be easily downloaded from the web.

Models for Dependent Time Series

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Publisher : CRC Press
ISBN 13 : 1420011502
Total Pages : 320 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Models for Dependent Time Series by : Granville Tunnicliffe Wilson

Download or read book Models for Dependent Time Series written by Granville Tunnicliffe Wilson and published by CRC Press. This book was released on 2015-07-29 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models for Dependent Time Series addresses the issues that arise and the methodology that can be applied when the dependence between time series is described and modeled. Whether you work in the economic, physical, or life sciences, the book shows you how to draw meaningful, applicable, and statistically valid conclusions from multivariate (or vect

Theory of Factorial Design

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Publisher : CRC Press
ISBN 13 : 1466505583
Total Pages : 403 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Theory of Factorial Design by : Ching-Shui Cheng

Download or read book Theory of Factorial Design written by Ching-Shui Cheng and published by CRC Press. This book was released on 2016-04-19 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together both new and old results, Theory of Factorial Design: Single- and Multi-Stratum Experiments provides a rigorous, systematic, and up-to-date treatment of the theoretical aspects of factorial design. To prepare readers for a general theory, the author first presents a unified treatment of several simple designs, including completely randomized designs, block designs, and row-column designs. As such, the book is accessible to readers with minimal exposure to experimental design. With exercises and numerous examples, it is suitable as a reference for researchers and as a textbook for advanced graduate students. In addition to traditional topics and a thorough discussion of the popular minimum aberration criterion, the book covers many topics and new results not found in existing books. These include results on the structures of two-level resolution IV designs, methods for constructing such designs beyond the familiar foldover method, the extension of minimum aberration to nonregular designs, the equivalence of generalized minimum aberration and minimum moment aberration, a Bayesian approach, and some results on nonregular designs. The book also presents a theory that provides a unifying framework for the design and analysis of factorial experiments with multiple strata (error terms) arising from complicated structures of the experimental units. This theory can be systematically applied to various structures of experimental units instead of treating each on a case-by-case basis.

Quasi-Least Squares Regression

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Publisher : CRC Press
ISBN 13 : 1420099930
Total Pages : 223 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Quasi-Least Squares Regression by : Justine Shults

Download or read book Quasi-Least Squares Regression written by Justine Shults and published by CRC Press. This book was released on 2014-01-28 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the authors’ substantial expertise in modeling longitudinal and clustered data, Quasi-Least Squares Regression provides a thorough treatment of quasi-least squares (QLS) regression—a computational approach for the estimation of correlation parameters within the framework of generalized estimating equations (GEEs). The authors present a detailed evaluation of QLS methodology, demonstrating the advantages of QLS in comparison with alternative methods. They describe how QLS can be used to extend the application of the traditional GEE approach to the analysis of unequally spaced longitudinal data, familial data, and data with multiple sources of correlation. In some settings, QLS also allows for improved analysis with an unstructured correlation matrix. Special focus is given to goodness-of-fit analysis as well as new strategies for selecting the appropriate working correlation structure for QLS and GEE. A chapter on longitudinal binary data tackles recent issues raised in the statistical literature regarding the appropriateness of semi-parametric methods, such as GEE and QLS, for the analysis of binary data; this chapter includes a comparison with the first-order Markov maximum-likelihood (MARK1ML) approach for binary data. Examples throughout the book demonstrate each topic of discussion. In particular, a fully worked out example leads readers from model building and interpretation to the planning stages for a future study (including sample size calculations). The code provided enables readers to replicate many of the examples in Stata, often with corresponding R, SAS, or MATLAB® code offered in the text or on the book’s website.

Randomised Response-Adaptive Designs in Clinical Trials

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Publisher : CRC Press
ISBN 13 : 1584886935
Total Pages : 341 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Randomised Response-Adaptive Designs in Clinical Trials by : Anthony C Atkinson

Download or read book Randomised Response-Adaptive Designs in Clinical Trials written by Anthony C Atkinson and published by CRC Press. This book was released on 2013-12-26 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Randomised Response-Adaptive Designs in Clinical Trials presents methods for the randomised allocation of treatments to patients in sequential clinical trials. Emphasizing the practical application of clinical trial designs, the book is designed for medical and applied statisticians, clinicians, and statisticians in training. After introducing clinical trials in drug development, the authors assess a simple adaptive design for binary responses without covariates. They discuss randomisation and covariate balance in normally distributed responses and cover many important response-adaptive designs for binary responses. The book then develops response-adaptive designs for continuous and longitudinal responses, optimum designs with covariates, and response-adaptive designs with covariates. It also covers response-adaptive designs that are derived by optimising an objective function subject to constraints on the variance of estimated parametric functions. The concluding chapter explores future directions in the development of adaptive designs.

Local Polynomial Modelling and Its Applications

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Publisher : Routledge
ISBN 13 : 1351434802
Total Pages : 175 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Local Polynomial Modelling and Its Applications by : Jianqing Fan

Download or read book Local Polynomial Modelling and Its Applications written by Jianqing Fan and published by Routledge. This book was released on 2018-05-02 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data-analytic approaches to regression problems, arising from many scientific disciplines are described in this book. The aim of these nonparametric methods is to relax assumptions on the form of a regression function and to let data search for a suitable function that describes the data well. The use of these nonparametric functions with parametric techniques can yield very powerful data analysis tools. Local polynomial modeling and its applications provides an up-to-date picture on state-of-the-art nonparametric regression techniques. The emphasis of the book is on methodologies rather than on theory, with a particular focus on applications of nonparametric techniques to various statistical problems. High-dimensional data-analytic tools are presented, and the book includes a variety of examples. This will be a valuable reference for research and applied statisticians, and will serve as a textbook for graduate students and others interested in nonparametric regression.

Nonlinear Time Series

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Publisher : CRC Press
ISBN 13 : 1420011219
Total Pages : 249 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Nonlinear Time Series by : Jiti Gao

Download or read book Nonlinear Time Series written by Jiti Gao and published by CRC Press. This book was released on 2007-03-22 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful in the theoretical and empirical analysis of nonlinear time series data, semiparametric methods have received extensive attention in the economics and statistics communities over the past twenty years. Recent studies show that semiparametric methods and models may be applied to solve dimensionality reduction problems arising from using fully

Inferential Models

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Publisher : CRC Press
ISBN 13 : 1439886512
Total Pages : 274 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Inferential Models by : Ryan Martin

Download or read book Inferential Models written by Ryan Martin and published by CRC Press. This book was released on 2015-09-25 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: A New Approach to Sound Statistical ReasoningInferential Models: Reasoning with Uncertainty introduces the authors' recently developed approach to inference: the inferential model (IM) framework. This logical framework for exact probabilistic inference does not require the user to input prior information. The authors show how an IM produces meaning