The Resource Design of Experiments in Nonlinear Models : Asymptotic Normality, Optimality Criteria and Small-Sample Properties, by Luc Pronzato, Andrej Pázman, (electronic resource)

Design of Experiments in Nonlinear Models : Asymptotic Normality, Optimality Criteria and Small-Sample Properties, by Luc Pronzato, Andrej Pázman, (electronic resource)

Label
Design of Experiments in Nonlinear Models : Asymptotic Normality, Optimality Criteria and Small-Sample Properties
Title
Design of Experiments in Nonlinear Models
Title remainder
Asymptotic Normality, Optimality Criteria and Small-Sample Properties
Statement of responsibility
by Luc Pronzato, Andrej Pázman
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
http://library.link/vocab/creatorName
Pronzato, Luc
Dewey number
  • 519.5
  • 519.57
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • jEYOxiiyHzY
  • rc8u5WOro8k
Language note
English
LC call number
QA276-280
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Pázman, Andrej.
Series statement
Lecture Notes in Statistics,
Series volume
212
http://library.link/vocab/subjectName
  • Statistics
  • Statistics for Life Sciences, Medicine, Health Sciences
  • Statistics, general
  • Statistics for Social Sciences, Humanities, Law
Label
Design of Experiments in Nonlinear Models : Asymptotic Normality, Optimality Criteria and Small-Sample Properties, by Luc Pronzato, Andrej Pázman, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Include bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (399 p.)
Form of item
online
Isbn
9781461463634
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-6363-4
Specific material designation
remote
System control number
  • (CKB)2550000001044169
  • (EBL)1205309
  • (SSID)ssj0000880308
  • (PQKBManifestationID)11542523
  • (PQKBTitleCode)TC0000880308
  • (PQKBWorkID)10873491
  • (PQKB)10542214
  • (DE-He213)978-1-4614-6363-4
  • (MiAaPQ)EBC1205309
  • (EXLCZ)992550000001044169
Label
Design of Experiments in Nonlinear Models : Asymptotic Normality, Optimality Criteria and Small-Sample Properties, by Luc Pronzato, Andrej Pázman, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Include bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (399 p.)
Form of item
online
Isbn
9781461463634
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-6363-4
Specific material designation
remote
System control number
  • (CKB)2550000001044169
  • (EBL)1205309
  • (SSID)ssj0000880308
  • (PQKBManifestationID)11542523
  • (PQKBTitleCode)TC0000880308
  • (PQKBWorkID)10873491
  • (PQKB)10542214
  • (DE-He213)978-1-4614-6363-4
  • (MiAaPQ)EBC1205309
  • (EXLCZ)992550000001044169

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