Families of estimators for ratio and product of study characters using mean and proportion of auxiliary character in presence of non-response

Abstract

In this paper, families of estimators for ratio and product of two population means are suggested using proportion and mean of auxiliary character in presence of non-response. The bias and mean square error (MSE) of the proposed families of estimators are obtained up to the first degree of approximation under two different cases. The specified conditions under which the members of proposed families of estimators attain minimum mean square error have been obtained. Theoretical and empirical comparisons based on real data sets are made to show that the suggested families of estimators are more efficient than the relevant estimators such as usual conventional estimator, (Khare & Sinha 2012 a) estimators and (Sinha 2014) estimators.

Generalized Classes of Estimators for Population Mean, Ratio and Product Using Rank of Auxiliary Character Under Double Sampling the Non-Respondents

“…Further Singh and Kumar (2010), Khare and Sinha (2002, 2007, 2012a, Sinha (2014Sinha ( , 2016 and Maji et al (2018) have made extension in the estimation of ratio/product of two population means using auxiliary character(s) in the presence of nonresponse. Yaqub et al (2017) have suggested an improved estimator for population mean based on dual use of auxiliary information under non-response.…”