Cost-effective Estimation of the Population Mean Using Prediction Estimators

Cost-effective Estimation of the Population Mean Using Prediction Estimators

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 outperf...

Full description

Bibliographic Details
Main Authors: Fujii, Tomoki, van der Weide, Roy
Format: Publications & Research
Language:English
en_US
Published: World Bank, Washington, DC 2013
Subjects:
prediction
double sampling
maximum likelihood
generalized method of moment
regression estimator
Online Access:http://documents.worldbank.org/curated/en/2013/06/17928599/cost-effective-estimation-population-mean-using-prediction-estimators
http://hdl.handle.net/10986/15868
id okr-10986-15868
recordtype oai_dc
spelling okr-10986-158682021-04-23T14:03:23Z Cost-effective Estimation of the Population Mean Using Prediction Estimators Fujii, Tomoki van der Weide, Roy prediction double sampling maximum likelihood generalized method of moment regression estimator 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. 2013-09-26T17:15:15Z 2013-09-26T17:15:15Z 2013-06 http://documents.worldbank.org/curated/en/2013/06/17928599/cost-effective-estimation-population-mean-using-prediction-estimators http://hdl.handle.net/10986/15868 English en_US Policy Research Working Paper;No. 6509 CC BY 3.0 IGO http://creativecommons.org/licenses/by/3.0/igo/ World Bank World Bank, Washington, DC Publications & Research Publications & Research :: Policy Research Working Paper
repository_type Digital Repository
institution_category Foreign Institution
institution Digital Repositories
building World Bank Open Knowledge Repository
collection World Bank
language English
en_US
topic prediction
double sampling
maximum likelihood
generalized method of moment
regression estimator
spellingShingle prediction
double sampling
maximum likelihood
generalized method of moment
regression estimator
Fujii, Tomoki
van der Weide, Roy
Cost-effective Estimation of the Population Mean Using Prediction Estimators
relation Policy Research Working Paper;No. 6509
description 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.
format Publications & Research
author Fujii, Tomoki
van der Weide, Roy
author_facet Fujii, Tomoki
van der Weide, Roy
author_sort Fujii, Tomoki
title Cost-effective Estimation of the Population Mean Using Prediction Estimators
title_short Cost-effective Estimation of the Population Mean Using Prediction Estimators
title_full Cost-effective Estimation of the Population Mean Using Prediction Estimators
title_fullStr Cost-effective Estimation of the Population Mean Using Prediction Estimators
title_full_unstemmed Cost-effective Estimation of the Population Mean Using Prediction Estimators
title_sort cost-effective estimation of the population mean using prediction estimators
publisher World Bank, Washington, DC
publishDate 2013
url http://documents.worldbank.org/curated/en/2013/06/17928599/cost-effective-estimation-population-mean-using-prediction-estimators
http://hdl.handle.net/10986/15868
_version_ 1764431806906499072

Similar Items