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E-book
Author Jiang, Jiming

Title Asymptotic analysis of mixed effects models : theory, applications, and open problems / by Jiming Jiang
Published Boca Raton : CRC Press, [2017]
©2017

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Description 1 online resource (1 volume)
Series Monographs on statistics and applied probability ; 155
Monographs on statistics and applied probability (Series) ; 155.
Contents Cover ; Title Page ; Copyright Page ; Dedication ; Table of Contents ; List of Figures ; List of Tables ; Preface ; About the Author ; 1: Introduction ; 1.1 Example: Generalized estimating equations ; 1.2 Example: REML estimation ; 1.3 Example: Salamander mating data
1.4 A roadmap 2: Asymptotic Analysis of Linear Mixed Models ; 2.1 Maximum likelihood ; 2.2 Restricted maximum likelihood ; 2.2.1 Asymptotic behavior of REML: Earlier studies ; 2.2.2 Asymptotic behavior of REML: Asymptotic superiority
2.2.3 Asymptotic behavior of REML: Wald consistency 2.3 Asymptotic covariance matrix in non-Gaussian LMM ; 2.3.1 Empirical method of moments ; 2.3.2 Partially observed information ; 2.4 Mixed model prediction ; 2.4.1 Best linear unbiased prediction ; 2.4.2 Observed best prediction
2.4.3 Classified mixed model prediction 2.5 Linear mixed model diagnostics ; 2.6 Misspecified mixed model analysis ; 2.6.1 A misspecified LMM and MMMA ; 2.6.2 Preliminaries ; 2.6.3 Consistency and asymptotic distribution ; 2.6.4 Further empirical results
2.7 Additional bibliographical notes and open problems 2.7.1 Bibliographical notes ; 2.7.2 Open problems ; 3: Asymptotic Analysis of Generalized Linear Mixed Models ; 3.1 Asymptotic deficiency of PQL ; 3.2 Generalized estimating equations ; 3.2.1 Estimating equations and GEE
Bibliography Includes bibliographical references and index
Subject Multilevel models (Statistics)
Correlation (Statistics)
Mathematical statistics.
Mathematical models.
Models, Theoretical
correlation.
mathematical models.
MATHEMATICS -- Applied.
MATHEMATICS -- Probability & Statistics -- General.
Correlation (Statistics)
Mathematical models
Mathematical statistics
Multilevel models (Statistics)
Form Electronic book
ISBN 9781315119281
1315119285
9781498700467
1498700462