Journal ArticleDOI
The estimation of the mean squared error of small-area estimators
N. G. N. Prasad,J. N. K. Rao +1 more
TLDR
In this paper, three small-area models, of Battese, Harter, and Fuller (1988), Dempster, Rubin, and Tsutakawa (1981), and Fay and Herriot (1979), are investigated.Abstract:
Small-area estimation has received considerable attention in recent years because of a growing demand for reliable small-area statistics. The direct-survey estimators, based only on the data from a given small area (or small domain), are likely to yield unacceptably large standard errors because of small sample size in the domain. Therefore, alternative estimators that borrow strength from other related small areas have been proposed in the literature to improve the efficiency. These estimators use models, either implicitly or explicitly, that connect the small areas through supplementary (e.g., census and administrative) data. For example, simple synthetic estimators are based on implicit modeling. In this article, three small-area models, of Battese, Harter, and Fuller (1988), Dempster, Rubin, and Tsutakawa (1981), and Fay and Herriot (1979), are investigated. These models are all special cases of a general mixed linear model involving fixed and random effects, and a small-area mean can be expr...read more
Citations
More filters
Book
Small Area Estimation
TL;DR: In this paper, the authors proposed a model-based approach for estimating small area statistics based on direct and indirect estimates of the total population of a given region in a given domain.
Journal ArticleDOI
An R2 statistic for fixed effects in the linear mixed model.
TL;DR: This work defines and describes how to compute a model R(2) statistic for the linear mixed model by using only a single model and indicates that ethnicity has an almost negligible association with the repeated BP outcomes for the study.
Journal ArticleDOI
New Important Developments in Small Area Estimation
TL;DR: The problem of small area estimation (SAE) is how to produce reliable estimates of characteristics of interest such as means, counts, quantiles, etc., for areas or domains for which only small samples or no samples are available, and how to assess their precision.
Journal ArticleDOI
Mixed model prediction and small area estimation
Jiming Jiang,Partha Lahiri +1 more
TL;DR: In this paper, the authors present a review of the classical inferential approach for linear and generalized linear mixed models that are relevant to different issues concerning small area estimation and related problems, and present a general framework for solving these problems.
Journal ArticleDOI
Small Area Estimation‐New Developments and Directions
TL;DR: In this paper, the authors provide a critical review of the main advances in small area estimation (SAE) methods in recent years and discuss some of the earlier developments, which serve as a necessary background for the new studies.
References
More filters
Book
Linear statistical inference and its applications
TL;DR: Algebra of Vectors and Matrices, Probability Theory, Tools and Techniques, and Continuous Probability Models.
Journal ArticleDOI
Linear Statistical Inference and its Applications
P. G. Moore,C. Radhakrishna Rao +1 more
TL;DR: The theory of least squares and analysis of variance has been studied in the literature for a long time, see as mentioned in this paper for a review of some of the most relevant works. But the main focus of this paper is on the analysis of variance.
Journal ArticleDOI
Linear Statistical Inference and Its Applications.
Journal ArticleDOI
Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
TL;DR: In this paper, the authors proposed a restricted maximum likelihood (reml) approach which takes into account the loss in degrees of freedom resulting from estimating fixed effects, and developed a satisfactory asymptotic theory for estimators of variance components.
Journal ArticleDOI
Best linear unbiased estimation and prediction under a selection model.
TL;DR: Methods for dealing with most data available to animal breeders, however, do not meet the usual requirements of random sampling and are likely to yield biased estimates and predictions.