Abstract:
This paper is a review of Kadilar and Chingi [Journal of Modern Applied Statistical
Method, 35 (2006), 111{115] which discusses three estimators of ratio population
variances ^ S2
KC1, ^ S2
K C2 and ^ S2
K C3 of the population of variables Y using known aux-
iliary variables X on simple random sampling. The three estimators ^ S2
K C1, ^ S2
K C2
and ^ S2
K C3 are the modi ed of ratio variances estimator using coe cien of variation
and kurtosis. Bias and mean square error (MSE) of the three estimators are
obtained by MacLaurin series approximation. Furthermore, the MSE of each esti-
mator is compared. This comparison shows that the estimator having the smallest
MSE is the most e cient estimator.
