Optimal Experimental Design For Non Linear Models
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Optimal Experimental Design For Non Linear Models
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Author : Christos P. Kitsos
language : en
Publisher:
Release Date : 2014-01-31
Optimal Experimental Design For Non Linear Models written by Christos P. Kitsos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-31 with categories.
Design Of Experiments In Nonlinear Models
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Author : Luc Pronzato
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-10
Design Of Experiments In Nonlinear Models written by Luc Pronzato and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Medical categories.
Design of Experiments in Nonlinear Models: Asymptotic Normality, Optimality Criteria and Small-Sample Properties provides a comprehensive coverage of the various aspects of experimental design for nonlinear models. The book contains original contributions to the theory of optimal experiments that will interest students and researchers in the field. Practitionners motivated by applications will find valuable tools to help them designing their experiments. The first three chapters expose the connections between the asymptotic properties of estimators in parametric models and experimental design, with more emphasis than usual on some particular aspects like the estimation of a nonlinear function of the model parameters, models with heteroscedastic errors, etc. Classical optimality criteria based on those asymptotic properties are then presented thoroughly in a special chapter. Three chapters are dedicated to specific issues raised by nonlinear models. The construction of design criteria derived from non-asymptotic considerations (small-sample situation) is detailed. The connection between design and identifiability/estimability issues is investigated. Several approaches are presented to face the problem caused by the dependence of an optimal design on the value of the parameters to be estimated. A survey of algorithmic methods for the construction of optimal designs is provided.
Optimal Experimental Design For Non Linear Models
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Author : Christos P. Kitsos
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-09
Optimal Experimental Design For Non Linear Models written by Christos P. Kitsos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-09 with Mathematics categories.
This book tackles the Optimal Non-Linear Experimental Design problem from an applications perspective. At the same time it offers extensive mathematical background material that avoids technicalities, making it accessible to non-mathematicians: Biologists, Medical Statisticians, Sociologists, Engineers, Chemists and Physicists will find new approaches to conducting their experiments. The book is recommended for Graduate Students and Researchers.
Optimal Design For Nonlinear Response Models
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Author : Valerii V. Fedorov
language : en
Publisher: CRC Press
Release Date : 2013-07-15
Optimal Design For Nonlinear Response Models written by Valerii V. Fedorov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-15 with Mathematics categories.
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
Functional Approach To Optimal Experimental Design
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Author : Viatcheslav B. Melas
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-20
Functional Approach To Optimal Experimental Design written by Viatcheslav B. Melas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-20 with Mathematics categories.
The present book is devoted to studying optimal experimental designs for a wide class of linear and nonlinear regression models. This class includes polynomial, trigonometrical, rational, and exponential models as well as many particular models used in ecology and microbiology. As the criteria of optimality, the well known D-, E-, and c-criteria are implemented. The main idea of the book is to study the dependence of optimal - signs on values of unknown parameters and on the bounds of the design interval. Such a study can be performed on the base of the Implicit Fu- tion Theorem, the classical result of functional analysis. The idea was ?rst introduced in the author’s paper (Melas, 1978) for nonlinear in parameters exponential models. Recently, it was developed for other models in a n- ber of works (Melas (1995, 2000, 2001, 2004, 2005), Dette, Melas (2002, 2003), Dette, Melas, Pepelyshev (2002, 2003, 2004b), and Dette, Melas, Biederman (2002)). Thepurposeofthepresentbookistobringtogethertheresultsobtained and to develop further underlying concepts and tools. The approach, m- tioned above, will be called the functional approach. Its brief description can be found in the Introduction. The book contains eight chapters. The ?rst chapter introduces basic concepts and results of optimal design theory, initiated mainly by J.Kiefer.
Optimal Design For Nonlinear Response Models
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Author : Valerii V. Fedorov
language : en
Publisher: CRC Press
Release Date : 2013-07-15
Optimal Design For Nonlinear Response Models written by Valerii V. Fedorov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-15 with Mathematics categories.
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 the key ideas, using linear models as examples. Applying the linearization in the parameter space, it then covers nonlinear models and locally optimal designs as well as minimax, optimal on average, and Bayesian designs. The authors also discuss adaptive designs, focusing on procedures with non-informative stopping. The common goals of experimental design—such as reducing costs, supporting efficient decision making, and gaining maximum information under various constraints—are often the same across diverse applied areas. Ethical and regulatory aspects play a much more prominent role in biological, medical, and pharmaceutical research. The authors address all of these issues through many examples in the book.
Moda 11 Advances In Model Oriented Design And Analysis
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Author : Joachim Kunert
language : en
Publisher: Springer
Release Date : 2016-06-06
Moda 11 Advances In Model Oriented Design And Analysis written by Joachim Kunert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.
This volume contains pioneering contributions to both the theory and practice of optimal experimental design. Topics include the optimality of designs in linear and nonlinear models, as well as designs for correlated observations and for sequential experimentation. There is an emphasis on applications to medicine, in particular, to the design of clinical trials. Scientists from Europe, the US, Asia, Australia and Africa contributed to this volume of papers from the 11th Workshop on Model Oriented Design and Analysis.
Optimum Experimental Designs With Sas
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Author : Anthony Atkinson
language : en
Publisher: Oxford University Press, USA
Release Date : 2007-05-24
Optimum Experimental Designs With Sas written by Anthony Atkinson and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-24 with Business & Economics categories.
Experiments in the field and in the laboratory cannot avoid random error and statistical methods are essential for their efficient design and analysis. Authored by leading experts in key fields, this text provides many examples of SAS code, results, plots and tables, along with a fully supported website.
Model Oriented Design Of Experiments
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Author : Valerii V. Fedorov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Model Oriented Design Of Experiments written by Valerii V. Fedorov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Here, the authors explain the basic ideas so as to generate interest in modern problems of experimental design. The topics discussed include designs for inference based on nonlinear models, designs for models with random parameters and stochastic processes, designs for model discrimination and incorrectly specified (contaminated) models, as well as examples of designs in functional spaces. Since the authors avoid technical details, the book assumes only a moderate background in calculus, matrix algebra, and statistics. However, at many places, hints are given as to how readers may enhance and adopt the basic ideas for advanced problems or applications. This allows the book to be used for courses at different levels, as well as serving as a useful reference for graduate students and researchers in statistics and engineering.
Optimal Experimental Design
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Author : Jesús López-Fidalgo
language : en
Publisher: Springer Nature
Release Date : 2023-10-14
Optimal Experimental Design written by Jesús López-Fidalgo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-14 with Mathematics categories.
This textbook provides a concise introduction to optimal experimental design and efficiently prepares the reader for research in the area. It presents the common concepts and techniques for linear and nonlinear models as well as Bayesian optimal designs. The last two chapters are devoted to particular themes of interest, including recent developments and hot topics in optimal experimental design, and real-world applications. Numerous examples and exercises are included, some of them with solutions or hints, as well as references to the existing software for computing designs. The book is primarily intended for graduate students and young researchers in statistics and applied mathematics who are new to the field of optimal experimental design. Given the applications and the way concepts and results are introduced, parts of the text will also appeal to engineers and other applied researchers.