Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable

Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable

This paper deals with efficient ratio type estimators for estimating finite population mean under simple random sampling scheme by using the knowledge of known median of a study and an auxiliary variable. Expressions for the bias and mean squared error of the proposed ratio type estimators are derived up to first order of approximation. It is found that our proposed estimators perform better as...

Improved Estimation of Population Mean Using Median and Coefficient of Variation of Auxiliary Variable

This manuscript deals with the estimation of population mean of the variable under study using an improved ratio type estimator utilizing the known values of median and coefficient of variation of auxiliary variable. The expressions for the bias and mean square error (MSE) of the proposed estimator are obtained up to the first order of approximation. The optimum estimator is also obtained for t...

A Class of Regression Type Estimators using Mean And Variance of Auxiliary Variable

In this paper, a regression type estimator representing a class of estimators is proposed to estimate the population mean of the study variable. The bias and mean square error of the proposed estimator are obtained. Also the optimizing value of the unknown parameter is derived and the expression of minimum mean square error is obtained. Further since the proposed estimator is biased, a jackknif...

A Study on the Class of Chain Ratio–type Estimators

 This paper considers the problem of estimating the population mean Ybar of the study variate Y using information on different parameters such as population mean $(bar{X})$, coefficient of variation $(C_x)$, kurtosis  $beta_{2(x)}$, standard deviation $(S_x)$ of the auxiliary variate x and on the correlation coefficient, $rho$, between the study variate $Y$ and the auxiliary variate $...

Improved Estimation of the Population Mean Using Known Parameters of an Auxiliary Variable