Robust Small Area Estimation：Methods, Theory, Applications, and Open Problems

In recent years there has been substantial, and growing, interest in small area estimation (SAE) that is largely driven by practical demands. Here the term small area typically refers to a subpopulation or domain of interest for which a reliable direct estimate, based only on the domain-specific sample, cannot be produced due to small sample size in the domain.

A keyword in SAE is “borrowing strength”. Because there are insufficient samples from the small areas to produce reliable direct estimates, statistical methods are sought to utilize other sources of information to do better than the direct estimates. A typical way of borrowing strength is via statistical modelling. On the other hand, there is no “free lunch”. Yes, one can do better by borrowing strength but there is a cost. This is the main topic discussed in this monograph.

Features:

· A comprehensive account of methods, applications, as well as some open problems related to robust SAE

· Methods illustrated by worked examples and case studies using real data

· Discusses some advanced topics, including benchmarking, Bayesian approaches, machine learning methods, missing data, and classified mixed model prediction

· Extensive references as well as online sources, such as colored figures, for interested readers to further explore

The book is primarily aimed at researchers and graduate students of statistics and data science and would also be suitable for researchers from geography and survey methodology. The practical approach should help persuade practitioners, such as those in government agencies, to more readily adopt robust SAE methods. It could be used to teach a course at graduate level to students with a background in mathematical statistics.