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Estimation of Finite Population Mean in Stratified Random Sampling with Two Auxiliary Variables under Double Sampling Design
Authors:Sat Gupta
Affiliation:Department of Mathematics and Statistics, University of North Carolina at Greensboro, Greensboro, Noth Carolina, USA
Abstract:In this article, a chain ratio-product type exponential estimator is proposed for estimating finite population mean in stratified random sampling with two auxiliary variables under double sampling design. Theoretical and empirical results show that the proposed estimator is more efficient than the existing estimators, i.e., usual stratified random sample mean estimator, Chand (1975) chain ratio estimator, Choudhary and Singh (2012) estimator, chain ratio-product-type estimator, Sahoo et al. (1993) difference type estimator, and Kiregyera (1984) regression-type estimator. Two data sets are used to illustrate the performances of different estimators.
Keywords:Stratified random sampling  Double sampling  Auxiliary variables  Bias  MSE  Efficiency
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