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Design of Experiments in Nonlinear Models: Asymptotic Normality, Optimality Criteria and Small-Sample Properties

Design of Experiments in Nonlinear Models: Asymptotic Normality, Optimality Criteria and Small-Sample Properties

Paperback

Series: Lecture Notes in Statistics, Book 212

Medical ReferenceGeneral SociologyProbability & Statistics

ISBN10: 1461463629
ISBN13: 9781461463627
Publisher: Springer Nature
Published: Apr 10 2013
Pages: 399
Weight: 1.25
Height: 0.90 Width: 6.10 Depth: 9.00
Language: English
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.

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