Abstract:
This article reviews three ratio-cum-product estimators for the population mean in
simple random sampling. The coefficient of variation and the coefficient of kurtosis of
auxiliary variables are used. This article is the review of Tailor’s et. al. Article
[Communications of the Korean Statistical Society 18(2):155-164]. The estimators
discussed are ratio-cum-product estimator, type 1 and type 2 ratio-cum-product
estimators using coefficient of variation and coefficient of kurtosis. These estimators are
biased. Then, the mean square errors (MSE) of each estimator are compared to show
which one is the most efficient estimator. The type 2 ratio-cum-product estimator using
the information on coefficient of variation and coefficient of kurtosis is the most
efficient estimator among the other two estimators.
