Calibration-Based Approach in Estimation of Population Mean under Stratified Sampling Scheme in the Presence of Non-Response using the Coefficient of Variation
Nishtha Bhardwaj, Moon , Shilpa Minz
Abstract
In this problem, we have developed a new calibration estimator of the population mean in stratified random
sampling in the presence of non-response. We used the auxiliary variable to produce a new set of calibrated
weights that enhance the Hansen and Hurwitz (1946) estimator. To construct the proposed calibration estimator,
we used the chi-square distance function. We have also made a comparison of the proposed calibration estimator
with the usual Hansen & Hurwitz estimator (1946) and Dykes et al. (2015) for estimating the population mean in
stratified random sampling in presence of non-response. Empirical studies based on simulation data have been
carried out to show the superiority of our suggested estimator over the conventional estimator. Appropriate
recommendations have also been provided to survey statisticians for applicability in real-world difficulties.
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