Jiming Jiang, University of California, Davis, USA

Introduction

Asymptotic Analysis of Linear Mixed Models

Asymptotic Analysis of Generalized Linear Mixed Models

Small Area Estimation

Asymptotic Analysis in OtherMixed Effects Models

Bibliography

Index

Large sample techniques are fundamental to all fields of statistics. Mixed effects models, including linear mixed models, generalized linear mixed models, non-linear mixed effects models, and non-parametric mixed effects models are complex models, yet, these models are extensively used in practice. This monograph provides a comprehensive account of asymptotic analysis of mixed effects models.

The monograph is suitable for researchers and graduate students who wish to learn about asymptotic tools and research problems in mixed effects models. It may also be used as a reference book for a graduate-level course on mixed effects models, or asymptotic analysis.