For estimating the population variance
S2y of study variable
y, a class of chain estimators of
S2y has been proposed in the presence of two auxiliary variables
x and
z by using known information on population mean and variance of the second auxiliary variable
z. In this proposed class, the second auxiliary variable
z is directly highly correlated with the first auxiliary variable
x, whereas the variable
z is correlated with the variable
y due to only the high correlation between the variables
y and
x. Another generalized class of estimators of
S2y has also been considered by using the same available information of auxiliary variable
z when both the auxiliary variables
x and
z are directly highly correlated with the study variable
y. The asymptotic expressions for the mean square errors and their optimum values have been obtained. A comparison between the two proposed classes of estimators of
S2y has been made empirically.
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