Publication Type
Working Paper
Version
publishedVersion
Publication Date
6-2013
Abstract
This paper considers the prediction estimator as an efficient estimator for the population mean. The study may be viewed as an earlier study that proved that the prediction estimator based on the iteratively weighted least squares estimator outperforms the sample mean. The analysis finds that a certain moment condition must hold in general for the prediction estimator based on a Generalized-Method-of-Moment estimator to be at least as efficient as the sample mean. In an application to cost-effective double sampling, the authors show how prediction estimators may be adopted to maximize statistical precision (minimize financial costs) under a budget constraint (statistical precision constraint). This approach is particularly useful when the outcome variable of interest is expensive to observe relative to observing its covariates.
Keywords
Prediction, Double Sampling, Maximum Likelihood, Generalized Method Of Moment, Regression Estimator
Discipline
Econometrics | Macroeconomics
Research Areas
Applied Microeconomics
Issue
6509
First Page
1
Last Page
36
Identifier
10.1596/1813-9450-6509
Publisher
World Bank Policy Research Working Paper 6509
City or Country
Washington, DC
Citation
FUJII, Tomoki and VAN DER WEIDE, Roy.
Cost-effective estimation of the population mean using prediction estimators. (2013). 1-36.
Available at: https://ink.library.smu.edu.sg/soe_research/1523
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional URL
https://doi.org/10.1596/1813-9450-6509