Viatcheslav Melas's Books

Design and Analysis of Simulation Experiments

By: Sergey Ermakov,Viatcheslav Melas

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Design and Analysis of Simulation Experiments

By: Sergey Ermakov,Viatcheslav Melas

This book is devoted to a new branch of experimental design theory called simulation experimental design. There are many books devoted either to the theory of experimental design or to system simulation techniques, but in this book an approach to combine both fields is developed. Especially the mathematical theory of such universal variance reduction techniques as splitting and Russian Roulette is explored. The book contains a number of results on regression design theory related to nonlinear problems, the E-optimum criterion and designs which minimize bias. Audience: This volume will be of value to readers interested in systems simulation, applied statistics and numerical methods with basic knowledge of applied statistics and linear algebra.

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Page Count

218

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0792336623

ISBN 13

9780792336624

Functional Approach to Optimal Experimental Design

By: Viatcheslav B. Melas

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Functional Approach to Optimal Experimental Design

By: Viatcheslav B. Melas

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.

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Page Count

337

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387316108

ISBN 13

9780387316109

Functional Approach to Optimal Experimental Design

By: Viatcheslav B. Melas

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Functional Approach to Optimal Experimental Design

By: Viatcheslav B. Melas

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N/A

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Solve jigsaw puzzle

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Page Count

337

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387316108

ISBN 13

9780387316109

Design and Analysis of Simulation Experiments

By: Sergey Ermakov,Viatcheslav Melas

Write a review Read reviews Take a Quiz Solve Book Puzzle

Design and Analysis of Simulation Experiments

By: Sergey Ermakov,Viatcheslav Melas

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

218

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0792336623

ISBN 13

9780792336624

Book's by Viatcheslav Melas

Design and Analysis of Simulation Experiments

Design and Analysis of Simulation Experiments

Functional Approach to Optimal Experimental Design

Functional Approach to Optimal Experimental Design

Functional Approach to Optimal Experimental Design

Functional Approach to Optimal Experimental Design

Design and Analysis of Simulation Experiments

Design and Analysis of Simulation Experiments

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