Partially observed information and inference about non-Gaussian mixed linear models

DOI10.1214/009053605000000543zbMath1084.62060arXivmath/0603073OpenAlexW3105970909MaRDI QIDQ817990

Jiming Jiang

Publication date: 23 March 2006

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603073

zbMATH Keywords

quasi-likelihoodasymptotic covariance matrixREMLdispersion testsestimated informationnonnormal mixed linear modelPOQUIM

Mathematics Subject Classification ID

Linear inference, regression (62J99) Analysis of variance and covariance (ANOVA) (62J10) Asymptotic properties of parametric tests (62F05)

Related Items (9)

A methodology for improving efficiency estimation based on conditional mix-GEE models in longitudinal studies ⋮ Simplified partially observed quasi-information matrix ⋮ Assessing the performance of normal-based and REML-based confidence intervals for the intraclass correlation coefficient ⋮ Nonparametric bootstrap confidence intervals for variance components applied to interlaboratory comparisons ⋮ Variance Components Testing in <scp>ANOVA</scp>‐Type Mixed Models ⋮ Confidence intervals for variance components in unbalanced one-way random effects model using non-normal distributions ⋮ Interval estimation of variance ratio in non-normal unbalanced one-way random models ⋮ On Variance Components in Semiparametric Mixed Models for Longitudinal Data ⋮ Improved Large-Sample Confidence Intervals for Ratios of Variance Components in Nonnormal Distributions

Cites Work

• Unnamed Item
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• Random-Effects Models for Longitudinal Data
• Assessing normality in random effects models
• A quasi-likelihood approach to the REML estimating equations
• Quasi-likelihood and its application. A general approach to optimal parameter estimation
• Wald consistency and the method of sieves in REML estimation
• Empirical method of moments and its applications
• Small area estimation: an appraisal. With comments and a rejoinder by the authors
• Dispersion matrix in balanced mixed ANOVA models
• Existence of maximum likelihood estimates in normal variance-components models
• Mean squared error of empirical predictor.
• Linear models. Least squares and alternatives
• REML estimation: Asymptotic behavior and related topics
• Assessing the accuracy of the maximum likelihood estimator: Observed versus expected Fisher information
• ASYMPTOTIC PROPERTIES OF RESTRICTED MAXIMUM LIKELIHOOD (REML) ESTIMATES FOR HIERARCHICAL MIXED LINEAR MODELS
• Maximum-likelihood estimation for the mixed analysis of variance model
• Jackknifing $U$-Statistics

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