Higher order calibrated estimator in two-stage sampling

Veronica I. Salinas, Stephen A. Sedory and Sarjinder Singh

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 10, 3164-3180

Abstract: In this paper, we consider a situation when the population variances of the auxiliary variable in the first stage units selected in a sample are known in addition to the known population means of the auxiliary variable. The higher order calibration weights which make use of both the population variances and population means at the estimation stage for both the first stage units and the second stage units selected in the sample are derived. The resultant estimator is found to be consistent estimator, and has variance smaller than the existing estimators in the literature. The percent relative efficiency of the proposed estimator over the linear regression estimator has been demonstrated through numerical comparisons.

Date: 2022
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DOI: 10.1080/03610926.2020.1790005

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