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Design of experiments in nonlinear models : asymptotic normality, optimality criteria and small-sample properties / Luc Pronzato, Andrej P�azman.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in statistics (Springer-Verlag) ; v. 212.Publication details: New York : Springer, c2013.Description: xv, 399 p. : ill. (some col.) ; 24 cmISBN:
  • 9781461463627 (softcover : acidfree paper)
  • 1461463629 (softcover : acidfree paper)
Subject(s): DDC classification:
  • 000SA.2 23 P965
LOC classification:
  • QA279 .P748 2013
Online resources:
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.
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Includes bibliographical references (p. 369-387) and indexes.

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.

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