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Author: Herman Chernoff
Publisher: SIAM
ISBN: 0898710065
Category : Technology & Engineering
Languages : en
Pages : 128
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Book Description
An exploration of the interrelated fields of design of experiments and sequential analysis with emphasis on the nature of theoretical statistics and how this relates to the philosophy and practice of statistics.
Author: Herman Chernoff
Publisher: SIAM
ISBN: 0898710065
Category : Technology & Engineering
Languages : en
Pages : 128
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Book Description
An exploration of the interrelated fields of design of experiments and sequential analysis with emphasis on the nature of theoretical statistics and how this relates to the philosophy and practice of statistics.
Author: Herman Chernoff
Publisher: SIAM
ISBN: 9781611970593
Category : Technology & Engineering
Languages : en
Pages : 124
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Book Description
An exploration of the interrelated fields of design of experiments and sequential analysis with emphasis on the nature of theoretical statistics and how this relates to the philosophy and practice of statistics.
Author: Michael Woodroofe
Publisher: SIAM
ISBN: 9781611970302
Category : Technology & Engineering
Languages : en
Pages : 124
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Book Description
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.
Author: S. Silvey
Publisher: Springer Science & Business Media
ISBN: 9400959125
Category : Science
Languages : en
Pages : 94
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Book Description
Prior to the 1970's a substantial literature had accumulated on the theory of optimal design, particularly of optimal linear regression design. To a certain extent the study of the subject had been piecemeal, different criteria of optimality having been studied separately. Also to a certain extent the topic was regarded as being largely of theoretical interest and as having little value for the practising statistician. However during this decade two significant developments occurred. It was observed that the various different optimality criteria had several mathematical properties in common; and general algorithms for constructing optimal design measures were developed. From the first of these there emerged a general theory of remarkable simplicity and the second at least raised the possibility that the theory would have more practical value. With respect to the second point there does remain a limiting factor as far as designs that are optimal for parameter estimation are concerned, and this is that the theory assumes that the model be collected is known a priori. This of course underlying data to is seldom the case in practice and it often happens that designs which are optimal for parameter estimation allow no possibility of model validation. For this reason the theory of design for parameter estimation may well have to be combined with a theory of model validation before its practical potential is fully realized. Nevertheless discussion in this monograph is limited to the theory of design optimal for parameter estimation.
Author: Dieter Rasch
Publisher: CRC Press
ISBN: 1439816980
Category : Mathematics
Languages : en
Pages : 340
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Book Description
Experimental design is often overlooked in the literature of applied and mathematical statistics: statistics is taught and understood as merely a collection of methods for analyzing data. Consequently, experimenters seldom think about optimal design, including prerequisites such as the necessary sample size needed for a precise answer for an experi
Author: John Whitehead
Publisher: Horwood Publishing Limited
ISBN:
Category : Health & Fitness
Languages : en
Pages : 280
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Book Description
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.
Author: Agnes Chao Hsiung
Publisher: World Scientific
ISBN: 981447665X
Category : Mathematics
Languages : en
Pages : 421
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Book Description
This volume is a collection of papers in celebration of the 80th birthday of Yuan-Shih Chow, whose influential work in probability and mathematical statistics has contributed greatly to mathematics education and the development of statistics research and application in Taiwan and mainland China.The twenty-two papers cover a wide range of problems reflecting both the broad scope of areas where Professor Chow has made major contributions and recent advances in probability theory and statistics.
Author: Anthony Atkinson
Publisher: Springer Science & Business Media
ISBN: 1475734190
Category : Mathematics
Languages : en
Pages : 313
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Book Description
Optimum Design 2000
Author: Abraham Wald
Publisher: Courier Corporation
ISBN: 0486783235
Category : Mathematics
Languages : en
Pages : 228
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Book Description
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: Panos Y. Papalambros
Publisher: Cambridge University Press
ISBN: 9780521627276
Category : Mathematics
Languages : en
Pages : 416
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Book Description
Principles of Optimal Design puts the concept of optimal design on a rigorous foundation and demonstrates the intimate relationship between the mathematical model that describes a design and the solution methods that optimize it. Since the first edition was published, computers have become ever more powerful, design engineers are tackling more complex systems, and the term optimization is now routinely used to denote a design process with increased speed and quality. This second edition takes account of these developments and brings the original text thoroughly up to date. The book now includes a discussion of trust region and convex approximation algorithms. A new chapter focuses on how to construct optimal design models. Three new case studies illustrate the creation of optimization models. The final chapter on optimization practice has been expanded to include computation of derivatives, interpretation of algorithmic results, and selection of algorithms and software. Both students and practising engineers will find this book a valuable resource for design project work.
