INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781461463634
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-50072
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Design of Experiments in Nonlinear Model
General Material Designation
[Book]
Other Title Information
:Asymptotic Normality, Optimality Criteria and Small-Sample Properties
First Statement of Responsibility
/ by Luc Pronzato, Andrej P??zman
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY
Name of Publisher, Distributor, etc.
: Springer New York :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2013.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XV, 399 p. 56 illus., 37 illus. in color., online resource.
SERIES
Series Title
(Lecture Notes in Statistics,0930-0325
Volume Designation
; 212)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Print
CONTENTS NOTE
Text of Note
Design of Experiments in Nonlinear Models: Asymptotic Normality, Optimality Criteria and Small-Sample Properties provides a comprehensivecoverage 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 theconnections 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 criteriabased on those asymptotic properties are then presented thoroughly in a special chapter. Three chapters are dedicated to specificissues raised by nonlinear models. The construction of designcriteria 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.
Text of Note
Introduction -- Asymptotic designs and uniform convergence. Asymptotic properties of the LS estimator -- Asymptotic properties of M, ML and maximum a posteriori estimators -- Local optimality criteria based on asymptotic normality -- Criteria based on the small-sample precision of the LS estimator -- Identifiability, estimability and extended optimality criteria -- Nonlocal optimum design -- Algorithms-a survey -- Subdifferentials and subgradients -- Computation of derivatives through sensitivity functions -- Proofs -- Symbols and notation -- List of labeled assumptions -- References.?╗╣
SERIES
Title
Lecture Notes in Statistics,0930-0325
Volume Number
212
TOPICAL NAME USED AS SUBJECT
Statistics
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Pronzato, Luc.
PERSONAL NAME - SECONDARY RESPONSIBILITY
P??zman, Andrej
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9781461463627.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9781461463627.pdf
Electronic Format Type
متن
old catalog
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BL
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