Download or read book Minimax Optimal Designs written by Chih-Yi Joy King and published by . This book was released on 1996 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Minimax Optimal Designs for Nonparametric Regression a Further Optimality Property of the Uniform Distribution written by Stefanie Biedermann and published by . This book was released on 2000 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Algorithm Based on Semidefinite Programming for Finding Minimax Optimal Designs written by Belmiro P.M. Duarte and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Optimal Designs for Social and Biomedical Research written by Martijn P.F. Berger and published by John Wiley & Sons. This book was released on 2009-05-27 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increasing cost of research means that scientists are in more urgent need of optimal design theory to increase the efficiency of parameter estimators and the statistical power of their tests. The objectives of a good design are to provide interpretable and accurate inference at minimal costs. Optimal design theory can help to identify a design with maximum power and maximum information for a statistical model and, at the same time, enable researchers to check on the model assumptions. This Book: Introduces optimal experimental design in an accessible format. Provides guidelines for practitioners to increase the efficiency of their designs, and demonstrates how optimal designs can reduce a study’s costs. Discusses the merits of optimal designs and compares them with commonly used designs. Takes the reader from simple linear regression models to advanced designs for multiple linear regression and nonlinear models in a systematic manner. Illustrates design techniques with practical examples from social and biomedical research to enhance the reader’s understanding. Researchers and students studying social, behavioural and biomedical sciences will find this book useful for understanding design issues and in putting optimal design ideas to practice.
Download or read book H Optimal Control and Related Minimax Design Problems written by Tamer Başar and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to one of the fastest developing fields in modern control theory - the so-called H-infinity optimal control theory. The book can be used for a second or third year graduate level course in the subject, and researchers working in the area will find the book useful as a standard reference. Based mostly on recent work of the authors, the book is written on a good mathematical level. Many results in it are original, interesting, and inspirational. The topic is central to modern control and hence this definitive book is highly recommended to anyone who wishes to catch up with important theoretical developments in applied mathematics and control.
Download or read book Optimal Designs using Speckman s minimax linear estimator written by M. Carl Spruill and published by . This book was released on 1981 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Minimax D optimal Designs for Regression Models with Heteroscedastic Errors written by Kai Yzenbrandt and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Minimax D-optimal designs for regression models with heteroscedastic errors are studied and constructed. These designs are robust against possible misspecification of the error variance in the model. We propose a flexible assumption for the error variance and use a minimax approach to define robust designs. As usual it is hard to find robust designs analytically, since the associated design problem is not a convex optimization problem. However, the minimax D-optimal design problem has an objective function as a difference of two convex functions. An effective algorithm is developed to compute minimax D-optimal designs under the least squares estimator and generalized least squares estimator. The algorithm can be applied to construct minimax D-optimal designs for any linear or nonlinear regression model with heteroscedastic errors. In addition, several theoretical results are obtained for the minimax D-optimal designs.
Download or read book Optimal designs for approximating a stochastic process with respect to a minimax criterion written by Thomas Müller-Gronbach and published by . This book was released on 1993 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A optimal Minimax Design Criterion for Two level Fractional Factorial Designs written by Yue Yin and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we introduce and study an A-optimal minimax design criterion for two-level fractional factorial designs, which can be used to estimate a linear model with main effects and some interactions. The resulting designs are called A-optimal minimax designs, and they are robust against the misspecification of the terms in the linear model. They are also efficient, and often they are the same as A-optimal and D-optimal designs. Various theoretical results about A-optimal minimax designs are derived. A couple of search algorithms including a simulated annealing algorithm are discussed to search for optimal designs, and many interesting examples are presented in the thesis.
Download or read book Optimal Designs with Respect to Elfving s Partial Minimax Criterion in Polynomial Regression written by H. Dette and published by . This book was released on 1992 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Designs for Approximating a Stochastic Process with Respect to a Minimax Criterion written by T. Müller-Gronbach and published by . This book was released on 1993 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interpolation and Extrapolation Optimal Designs V1 written by Giorgio Celant and published by John Wiley & Sons. This book was released on 2016-03-31 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.
Download or read book An Efficient Minimax Algorithm for Constructing Symmetrical Balanced Equidistant D optimal Designs in Statistical Experiments with Binary Data written by Alexander Begun and published by . This book was released on 2002 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Design of Optimal Minimax Digital FIR Using Linear Programming written by Naomi Mendelovicz and published by . This book was released on 1997 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Design for Nonlinear Response Models written by Valerii V. Fedorov and published by CRC Press. This book was released on 2013-07-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Design for Nonlinear Response Models discusses the theory and applications of model-based experimental design with a strong emphasis on biopharmaceutical studies. The book draws on the authors' many years of experience in academia and the pharmaceutical industry. While the focus is on nonlinear models, the book begins with an explanation of
Download or read book Inverse Problems Design and Optimization vol 2 written by and published by Editora E-papers. This book was released on with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Randomized Phase II Cancer Clinical Trials written by Sin-Ho Jung and published by CRC Press. This book was released on 2013-05-02 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: In cancer research, a traditional phase II trial is designed as a single-arm trial that compares the experimental therapy to a historical control. This simple trial design has led to several adverse issues, including increased false positivity of phase II trial results and negative phase III trials. To rectify these problems, oncologists and biosta
