Optimal Sequentially Planned Decision Procedures

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Optimal Sequentially Planned Decision Procedures

Author : Norbert Schmitz
Publisher : Springer Science & Business Media
ISBN 13 : 1461227364
Total Pages : 222 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Optimal Sequentially Planned Decision Procedures by : Norbert Schmitz

Download or read book Optimal Sequentially Planned Decision Procedures written by Norbert Schmitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning from experience, making decisions on the basis of the available information, and proceeding step by step to a desired goal are fundamental behavioural qualities of human beings. Nevertheless, it was not until the early 1940's that such a statistical theory - namely Sequential Analysis - was created, which allows us to investigate this kind of behaviour in a precise manner. A. Wald's famous sequential probability ratio test (SPRT; see example (1.8» turned out to have an enormous influence on the development of this theory. On the one hand, Wald's fundamental monograph "Sequential Analysis" ([Wa]*) is essentially centered around this test. On the other hand, important properties of the SPRT - e.g. Bayes optimality, minimax-properties, "uniform" optimality with respect to expected sample sizes - gave rise to the development of a general statistical decision theory. As a conse quence, the SPRT's played a dominating role in the further development of sequential analysis and, more generally, in theoretical statistics.

Optimal Sequentially Planned Decision Procedures

Author : G. Duscha
Publisher :
ISBN 13 : 9781461227373
Total Pages : 228 pages
Book Rating : 4.2/5 (273 download)

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Book Synopsis Optimal Sequentially Planned Decision Procedures by : G. Duscha

Download or read book Optimal Sequentially Planned Decision Procedures written by G. Duscha and published by . This book was released on 1992-10-28 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Sequentially Planned Decision Procedures

Author : Norbert Schmitz
Publisher :
ISBN 13 : 9783540979081
Total Pages : 207 pages
Book Rating : 4.9/5 (79 download)

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Book Synopsis Optimal Sequentially Planned Decision Procedures by : Norbert Schmitz

Download or read book Optimal Sequentially Planned Decision Procedures written by Norbert Schmitz and published by . This book was released on 1993-01 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Sequentially Planed Decision Procedures

Author : Norbert Schmitz
Publisher :
ISBN 13 : 9780540979080
Total Pages : 207 pages
Book Rating : 4.9/5 (79 download)

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Book Synopsis Optimal Sequentially Planed Decision Procedures by : Norbert Schmitz

Download or read book Optimal Sequentially Planed Decision Procedures written by Norbert Schmitz and published by . This book was released on 1993 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Economics of Search

Author : Brian McCall
Publisher : Routledge
ISBN 13 : 1134422342
Total Pages : 727 pages
Book Rating : 4.1/5 (344 download)

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Book Synopsis The Economics of Search by : Brian McCall

Download or read book The Economics of Search written by Brian McCall and published by Routledge. This book was released on 2007-12-20 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The economics of search is a prominent component of economic theory, and it has a richness and elegance that underpins a host of practical applications. In this book Brian and John McCall present a comprehensive overview of the economic theory of search, from the classical model of job search formulated 40 years ago to the recent developments in eq

Sequential Methods and Their Applications

Author : Nitis Mukhopadhyay
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

Handbook of Adaptive Designs in Pharmaceutical and Clinical Development

Author : Annpey Pong
Publisher : CRC Press
ISBN 13 : 9781439810170
Total Pages : 496 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Handbook of Adaptive Designs in Pharmaceutical and Clinical Development by : Annpey Pong

Download or read book Handbook of Adaptive Designs in Pharmaceutical and Clinical Development written by Annpey Pong and published by CRC Press. This book was released on 2016-04-19 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to the US FDA's Critical Path Initiative, innovative adaptive designs are being used more and more in clinical trials due to their flexibility and efficiency, especially during early phase development. Handbook of Adaptive Designs in Pharmaceutical and Clinical Development provides a comprehensive and unified presentation of the princip

Stage-Wise Adaptive Designs

Author : Shelemyahu Zacks
Publisher : John Wiley & Sons
ISBN 13 : 0470466944
Total Pages : 411 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Stage-Wise Adaptive Designs by : Shelemyahu Zacks

Download or read book Stage-Wise Adaptive Designs written by Shelemyahu Zacks and published by John Wiley & Sons. This book was released on 2009-05-11 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: An expert introduction to stage-wise adaptive designs in all areas of statistics Stage-Wise Adaptive Designs presents the theory and methodology of stage-wise adaptive design across various areas of study within the field of statistics, from sampling surveys and time series analysis to generalized linear models and decision theory. Providing the necessary background material along with illustrative S-PLUS functions, this book serves as a valuable introduction to the problems of adaptive designs. The author begins with a cohesive introduction to the subject and goes on to concentrate on generalized linear models, followed by stage-wise sampling procedures in sampling surveys. Adaptive forecasting in the area of time series analysis is presented in detail, and two chapters are devoted to applications in clinical trials. Bandits problems are also given a thorough treatment along with sequential detection of change-points, sequential applications in industrial statistics, and software reliability. S-Plus functions are available to accompany particular computations, and all examples can be worked out using R, which is available on the book's related FTP site. In addition, a detailed appendix outlines the use of these software functions, while an extensive bibliography directs readers to further research on the subject matter. Assuming only a basic background in statistical topics, Stage-Wise Adaptive Designs is an excellent supplement to statistics courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for researchers and practitioners in the fields of statistics and biostatistics.

Optimum Designs for Multi-Factor Models

Author : Rainer Schwabe
Publisher : Springer Science & Business Media
ISBN 13 : 1461240387
Total Pages : 132 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Optimum Designs for Multi-Factor Models by : Rainer Schwabe

Download or read book Optimum Designs for Multi-Factor Models written by Rainer Schwabe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: In real applications most experimental situations are influenced by a large number of different factors. In these settings the design of an experiment leads to challenging optimization problems, even if the underlying relationship can be described by a linear model. Based on recent research, this book introduces the theory of optimum designs for complex models and develops general methods of reduction to marginal problems for large classes of models with relevant interaction structures.

Adaptive Design Theory and Implementation Using SAS and R

Author : Mark Chang
Publisher : CRC Press
ISBN 13 : 1584889632
Total Pages : 442 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Adaptive Design Theory and Implementation Using SAS and R by : Mark Chang

Download or read book Adaptive Design Theory and Implementation Using SAS and R written by Mark Chang and published by CRC Press. This book was released on 2012-10-09 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive design has become an important tool in modern pharmaceutical research and development. Compared to a classic trial design with static features, an adaptive design allows for the modification of the characteristics of ongoing trials based on cumulative information. Adaptive designs increase the probability of success, reduce costs and the t

Group Sequential and Confirmatory Adaptive Designs in Clinical Trials

Author : Gernot Wassmer
Publisher : Springer
ISBN 13 : 3319325620
Total Pages : 310 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Group Sequential and Confirmatory Adaptive Designs in Clinical Trials by : Gernot Wassmer

Download or read book Group Sequential and Confirmatory Adaptive Designs in Clinical Trials written by Gernot Wassmer and published by Springer. This book was released on 2016-07-04 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date review of the general principles of and techniques for confirmatory adaptive designs. Confirmatory adaptive designs are a generalization of group sequential designs. With these designs, interim analyses are performed in order to stop the trial prematurely under control of the Type I error rate. In adaptive designs, it is also permissible to perform a data-driven change of relevant aspects of the study design at interim stages. This includes, for example, a sample-size reassessment, a treatment-arm selection or a selection of a pre-specified sub-population. Essentially, this adaptive methodology was introduced in the 1990s. Since then, it has become popular and the object of intense discussion and still represents a rapidly growing field of statistical research. This book describes adaptive design methodology at an elementary level, while also considering designing and planning issues as well as methods for analyzing an adaptively planned trial. This includes estimation methods and methods for the determination of an overall p-value. Part I of the book provides the group sequential methods that are necessary for understanding and applying the adaptive design methodology supplied in Parts II and III of the book. The book contains many examples that illustrate use of the methods for practical application. The book is primarily written for applied statisticians from academia and industry who are interested in confirmatory adaptive designs. It is assumed that readers are familiar with the basic principles of descriptive statistics, parameter estimation and statistical testing. This book will also be suitable for an advanced statistical course for applied statisticians or clinicians with a sound statistical background.

Design and Analysis of Experiments, Volume 3

Author : Klaus Hinkelmann
Publisher : John Wiley & Sons
ISBN 13 : 0470530685
Total Pages : 598 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Design and Analysis of Experiments, Volume 3 by : Klaus Hinkelmann

Download or read book Design and Analysis of Experiments, Volume 3 written by Klaus Hinkelmann and published by John Wiley & Sons. This book was released on 2012-02-14 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides timely applications, modifications, and extensions of experimental designs for a variety of disciplines Design and Analysis of Experiments, Volume 3: Special Designs and Applications continues building upon the philosophical foundations of experimental design by providing important, modern applications of experimental design to the many fields that utilize them. The book also presents optimal and efficient designs for practice and covers key topics in current statistical research. Featuring contributions from leading researchers and academics, the book demonstrates how the presented concepts are used across various fields from genetics and medicinal and pharmaceutical research to manufacturing, engineering, and national security. Each chapter includes an introduction followed by the historical background as well as in-depth procedures that aid in the construction and analysis of the discussed designs. Topical coverage includes: Genetic cross experiments, microarray experiments, and variety trials Clinical trials, group-sequential designs, and adaptive designs Fractional factorial and search, choice, and optimal designs for generalized linear models Computer experiments with applications to homeland security Robust parameter designs and split-plot type response surface designs Analysis of directional data experiments Throughout the book, illustrative and numerical examples utilize SAS®, JMP®, and R software programs to demonstrate the discussed techniques. Related data sets and software applications are available on the book's related FTP site. Design and Analysis of Experiments, Volume 3 is an ideal textbook for graduate courses in experimental design and also serves as a practical, hands-on reference for statisticians and researchers across a wide array of subject areas, including biological sciences, engineering, medicine, and business.

Modern Approaches to Clinical Trials Using SAS: Classical, Adaptive, and Bayesian Methods

Author : Sandeep Menon
Publisher : SAS Institute
ISBN 13 : 1629600849
Total Pages : 364 pages
Book Rating : 4.6/5 (296 download)

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Book Synopsis Modern Approaches to Clinical Trials Using SAS: Classical, Adaptive, and Bayesian Methods by : Sandeep Menon

Download or read book Modern Approaches to Clinical Trials Using SAS: Classical, Adaptive, and Bayesian Methods written by Sandeep Menon and published by SAS Institute. This book was released on 2015-12-09 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers domains of modern clinical trial design: classical, group sequential, adaptive, and Bayesian methods applicable to and used in various phases of pharmaceutical development. Written for biostatisticians, pharmacometricians, clinical developers, and statistical programmers involved in the design, analysis, and interpretation of clinical trials, as well as students in graduate and postgraduate programs in statistics or biostatistics, it covers topics including: dose-response and dose-escalation designs; sequential methods to stop trials early for overwhelming efficacy, safety, or futility; Bayesian designs incorporating historical data; adaptive sample size re-estimation and randomization to allocate subjects to effective treatments; population enrichment designs. Methods are illustrated using clinical trials from diverse therapeutic areas, including dermatology, endocrinology, infectious disease, neurology, oncology and rheumatology. --

New Developments and Applications in Experimental Design

Author : Nancy Flournoy
Publisher : IMS
ISBN 13 : 9780940600461
Total Pages : 218 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis New Developments and Applications in Experimental Design by : Nancy Flournoy

Download or read book New Developments and Applications in Experimental Design written by Nancy Flournoy and published by IMS. This book was released on 1998 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Sums and Branching Stochastic Processes

Author : Ibrahim Rahimov
Publisher : Springer Science & Business Media
ISBN 13 : 1461242169
Total Pages : 207 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Random Sums and Branching Stochastic Processes by : Ibrahim Rahimov

Download or read book Random Sums and Branching Stochastic Processes written by Ibrahim Rahimov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this monograph is to show how random sums (that is, the summation of a random number of dependent random variables) may be used to analyse the behaviour of branching stochastic processes. The author shows how these techniques may yield insight and new results when applied to a wide range of branching processes. In particular, processes with reproduction-dependent and non-stationary immigration may be analysed quite simply from this perspective. On the other hand some new characterizations of the branching process without immigration dealing with its genealogical tree can be studied. Readers are assumed to have a firm grounding in probability and stochastic processes, but otherwise this account is self-contained. As a result, researchers and graduate students tackling problems in this area will find this makes a useful contribution to their work.

Branching Processes

Author : C.C. Heyde
Publisher : Springer Science & Business Media
ISBN 13 : 1461225582
Total Pages : 189 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Branching Processes by : C.C. Heyde

Download or read book Branching Processes written by C.C. Heyde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the edited proceedings of the First World Congress on Branching Processes. The contributions present new research and surveys of the current research activity in this field. As a result, all those undertaking research in the subject will find this a timely and high-quality volume to have on their shelves.

Nonparametric Statistics for Stochastic Processes

Author : Denis Bosq
Publisher : Springer Science & Business Media
ISBN 13 : 146840489X
Total Pages : 181 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Nonparametric Statistics for Stochastic Processes by : Denis Bosq

Download or read book Nonparametric Statistics for Stochastic Processes written by Denis Bosq and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a mathematically rigorous treatment of the theory of nonparametric estimation and prediction for stochastic processes. It discusses discrete time and continuous time, and the emphasis is on the kernel methods. Several new results are presented concerning optimal and superoptimal convergence rates. How to implement the method is discussed in detail and several numerical results are presented. This book will be of interest to specialists in mathematical statistics and to those who wish to apply these methods to practical problems involving time series analysis.