Estimation of population coefficient of dispersion using auxiliary information in simple random sampling

Abstract

It is a well-established fact in sampling survey theory that using auxiliary information during the estimation stage aids in increasing the precision of estimator for unknown population parameter. Averages or measures of central tendency give us an idea about the concentration of objects around the central value of the distribution. However, if we want to have insights regarding the scatteredness of the observations around the central values, we would have to study about dispersion. One of the techniques of measuring dispersion is through coefficients of dispersion. An enormous amount of work has been already done for the problem of estimation of population mean, median, mode, variance, coefficient of variation etc. However not much attention has been given to the problem of estimation of coefficient of dispersion. In this manuscript, we contemplate the problem of estimation of population coefficient of dispersion under SRSWOR using a single auxiliary variable. We have obtained the expression for MSE of the proposed estimators under the first order of approximation. Also, we have incorporated a simulation study to verify the theoretical results. © 2023 Author(s).