Calibration estimation using empirical likelihood in survey sampling

Date
2009-01-01
Authors
Kim, Jae Kwang
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Altmetrics
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Research Projects
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Statistics
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Abstract

Calibration estimation, which can be roughly described as adjusting the original design weights to incorporate the known population totals of the auxiliary variables, has become very popular in sample surveys.The calibration weights are chosen to minimize a given distance measure while satisfying a set of constraints related to the auxiliary variable information. Under simple random sampling, Chen and Qin (1993) suggested that the calibration estimator maximizing the constrained empirical likelihood can make efficient use of the auxiliary variables. We extend the result to unequal probability sampling and propose an algorithm to implement the proposed procedure. Asymptotic properties of the proposed calibration estimator are discussed. The proposed method is extended to the stratified sampling. Results from a limited simulation study are presented.

Description

This is an article published as Kim, Jae Kwang. "Calibration estimation using empirical likelihood in survey sampling." Statistica Sinica (2009): 145-157. Posted with permission.

Keywords
Generalized regression estimator, nonparametric maximum likelihood estimator, optimal regression estimator, weighting procedure
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