Comparison of some variance estimators of the ratio estimator in presence of
two auxiliary variables
by P. A. Patel and Jigna S. Patel.
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 , perform very well.
Auxiliary information, calibration, Isaki-type estimator,
weighted ratio type estimator, Model-based estimator, Ratio estimator
P.A. Patel, firstname.lastname@example.org
Jigna S. Patel, email@example.com
Mohanad Alkhasawneh, firstname.lastname@example.org
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