On Some Efficient Classes of Estimators Based on Higher Order Moments of an Auxiliary Attribute

Year: 2022       Vol.: 71       No.: 1      

Authors: Shashi Bhushan and Anoop Kumar

Abstract:

This paper discusses the problem of estimating the population mean utilizing information on the mean and variance of qualitative characteristics. We introduce some efficient classes of estimators based on higher order moments such as the variance of an auxiliary attribute. The conventional mean estimator, Bhushan and Gupta (2016) estimator, and the traditional regression and ratio estimators proposed by Naik and Gupta (1996) are shown to be the sub-class of the proposed estimators for properly chosen valuations of the described scalars. The effective performance of the suggested estimators has been assessed empirically and theoretically with respect to the contemporary estimators.

Keywords: mean square error, efficiency, qualitative characteristics

Download this article: