Open AccessFamilies of estimators for ratio and product of study characters using mean and proportion of auxiliary character in presence of non-response
Author(s) -
R. R. Sinha
Publication year - 2016
Publication title -
international journal of accounting and economics studies
Language(s) - English
Resource type - Journals
ISSN - 2309-4508
DOI - 10.14419/ijaes.v4i2.6376
Subject(s) - estimator , mean squared error , character (mathematics) , mathematics , statistics , product (mathematics) , population mean , population , minimum mean square error , efficiency , econometrics , demography , geometry , sociology
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.