Comparison of some variance estimators of the ratio estimator in presence of two auxiliary variables

by P. A. Patel and Jigna S. Patel.

Abstract: This article discusses various procedures for variance estimation, under the Midzuno-Sen sampling scheme, of the ratio estimator of a finite population total when auxiliary information on two variables is available and suggests some variance estimators. A small scale Monte Carlo simulation is carried out to investigate empirical performance of the suggested estimators. The estimator vopt performs extremely well for the populations having high coefficients of variation of two auxiliary variables and very high coefficients of correlation of the auxiliary variables with the study variables. Otherwise, the estimator v12 and v13 suggested by Chaudhuri [1], perform very well.

Key Words: Auxiliary information, calibration, Isaki-type estimator, weighted ratio type estimator, Model-based estimator, Ratio estimator

Authors:
P.A. Patel, patelpraful_a@indiatimes.com
Jigna S. Patel, jigna.stat@gmail.com

Editor: Mohanad Alkhasawneh, mohanadf_73@yahoo.com

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