Design of Experiments in Nonlinear Models

Asymptotic Normality, Optimality Criteria and Small-Sample Properties

Nonfiction, Health & Well Being, Medical, Reference, Biostatistics, Science & Nature, Mathematics, Statistics
Cover of the book Design of Experiments in Nonlinear Models by Luc Pronzato, Andrej Pázman, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Luc Pronzato, Andrej Pázman ISBN: 9781461463634
Publisher: Springer New York Publication: April 10, 2013
Imprint: Springer Language: English
Author: Luc Pronzato, Andrej Pázman
ISBN: 9781461463634
Publisher: Springer New York
Publication: April 10, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book The Massachusetts General Hospital Handbook of Cognitive Behavioral Therapy by Luc Pronzato, Andrej Pázman
Cover of the book Modulation of Protein Stability in Cancer Therapy by Luc Pronzato, Andrej Pázman
Cover of the book Reference-Free CMOS Pipeline Analog-to-Digital Converters by Luc Pronzato, Andrej Pázman
Cover of the book Enacting Electronic Government Success by Luc Pronzato, Andrej Pázman
Cover of the book The Dream of Reality by Luc Pronzato, Andrej Pázman
Cover of the book Genomics of Tree Crops by Luc Pronzato, Andrej Pázman
Cover of the book The Social Contexts of Criminal Sentencing by Luc Pronzato, Andrej Pázman
Cover of the book Introduction to Tensor Analysis and the Calculus of Moving Surfaces by Luc Pronzato, Andrej Pázman
Cover of the book Qualitative Comparative Analysis with R by Luc Pronzato, Andrej Pázman
Cover of the book Drug Management of Prostate Cancer by Luc Pronzato, Andrej Pázman
Cover of the book Composite Materials and Joining Technologies for Composites, Volume 7 by Luc Pronzato, Andrej Pázman
Cover of the book Diagnostic Cytopathology Board Review and Self-Assessment by Luc Pronzato, Andrej Pázman
Cover of the book The Archaeology of Anxiety by Luc Pronzato, Andrej Pázman
Cover of the book Genetics of Melanoma by Luc Pronzato, Andrej Pázman
Cover of the book Determination of the Geoid by Luc Pronzato, Andrej Pázman
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy