Mixed-effects models and small area estimation
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Bibliographic Information
Mixed-effects models and small area estimation
（Springer Briefs in statistics, . JSS research series in statistics）
Springer, c2023
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Includes bibliographical references
Description and Table of Contents
Description
This book provides a self-contained introduction of mixed-effects models and small area estimation techniques. In particular, it focuses on both introducing classical theory and reviewing the latest methods. First, basic issues of mixed-effects models, such as parameter estimation, random effects prediction, variable selection, and asymptotic theory, are introduced. Standard mixed-effects models used in small area estimation, known as the Fay-Herriot model and the nested error regression model, are then introduced. Both frequentist and Bayesian approaches are given to compute predictors of small area parameters of interest. For measuring uncertainty of the predictors, several methods to calculate mean squared errors and confidence intervals are discussed. Various advanced approaches using mixed-effects models are introduced, from frequentist to Bayesian approaches. This book is helpful for researchers and graduate students in fields requiring data analysis skills as well as in mathematical statistics.
Table of Contents
Introduction.- General Mixed-Effects Models and BLUP.- Measuring Uncertainty of Predictors.- Basic mixed-effects Models for Small Area Estimation.- Hypothesis Tests and Variable Selection.- Advanced Theory of Basic Small Area Models.- Small Area Models for Non-normal Response Variables.- Extensions of Basic Small Area Models.
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