Abstract
We have suggested an improved ratio type log estimator for population variance by using coefficient of kurtosis and median of an auxiliary variable x. The properties of proposed estimator have been derived
Highlights
We have suggested an improved ratio type log estimator for population variance by using coefficient of kurtosis and median of an auxiliary variable x
Motivated by [2] work, [3] [4] and [5] used the known coefficient of variation but that of the auxiliary variable for estimating population mean of study variable
Reasoning along the same path [6] used the prior value of coefficient of kurtosis of an auxiliary variable in estimating the population variance of the study variable y
Summary
Motivated by [10] and [11] [13] considered the estimation of finite population variance using known coefficient of variation and median of an auxiliary variable, proposed an estimator. Motivated by [23] considered the estimation of finite population variance using known kurtosis and median of an auxiliary variable. We introduce the following improved ratio type log estimator for population variance using a known value of population coefficient of kurtosis kx and median Mx of an auxiliary variable. Mean Squared Errors it is clear that our proposed ratio type log estimator t13 for population variance has the least Mean Squared Error (MSE).
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