Small Area Estimation

J. N. K. Rao, Isabel Molina

• Publisher: Wiley
• Year: 2015
• ISBN:
  9781118735725
• Edition: 2
• Topic: Mathematics
• Subtopic: Probability & Statistics
• Index: Mathematics

Praise for the First Edition

"This pioneering work, in which Rao provides a comprehensive and up-to-date treatment of small area estimation, will become a classic...I believe that it has the potential to turn small area estimation...into a larger area of importance to both researchers and practitioners."
— Journal of the American Statistical Association

Written by two experts in the field, Small Area Estimation, Second Edition provides a comprehensive and up-to-date account of the methods and theory of small area estimation (SAE), particularly indirect estimation based on explicit small area linking models. The model-based approach to small area estimation offers several advantages including increased precision, the derivation of "optimal" estimates and associated measures of variability under an assumed model, and the validation of models from the sample data.

Emphasizing real data throughout, the Second Edition maintains a self-contained account of crucial theoretical and methodological developments in the field of SAE. The new edition provides extensive accounts of new and updated research, which often involves complex theory to handle model misspecifications and other complexities. Including information on survey design issues and traditional methods employing indirect estimates based on implicit linking models, Small Area Estimation, Second Edition also features:

• Additional sections describing the use of R code data sets for readers to use when replicating applications
• Numerous examples of SAE applications throughout each chapter, including recent applications in U.S. Federal programs
• New topical coverage on extended design issues, synthetic estimation, further refinements and solutions to the Fay-Herriot area level model, basic unit level models, and spatial and time series models
• A discussion of the advantages and limitations of various SAE methods for model selection from data as well as comparisons of estimates derived from models to reliable values obtained from external sources, such as previous census or administrative data

Small Area Estimation, Second Edition is an excellent reference for practicing statisticians and survey methodologists as well as practitioners interested in learning SAE methods. The Second Edition is also an ideal textbook for graduate-level courses in SAE and reliable small area statistics.

Table of contents

• Cover
• Series Page
• Title Page
• Copyright
• Table of Contents
• Dedication
• List of Figures
• List of Tables
• Foreword to the First Edition
• Preface to the Second Edition
• Preface to the First Edition
• Chapter 1: Introduction
• Chapter 2: Direct Domain Estimation
• Chapter 3: Indirect Domain Estimation
• Chapter 4: Small Area Models
• Chapter 5: Empirical Best Linear Unbiased Prediction (EBLUP): Theory
• Chapter 6: Empirical Best Linear Unbiased Prediction (EBLUP): Basic Area Level Model
• Chapter 7: Basic Unit Level Model
• Chapter 8: EBLUP: Extensions
• Chapter 9: Empirical Bayes (EB) Method
• Chapter 10: Hierarchical Bayes (HB) Method
• References
• Author Index
• Subject Index
• Wiley Series In Survey Methodology
• End User License Agreement