A study on new methods of ratio exponential type imputation in sample surveys

Year 2018, Volume: 47 Issue: 5, 1281 - 1301, 16.10.2018

Shakti Prasad

Abstract

In this article, we have suggested new methods of ratio exponential type imputation and proposed their corresponding point estimators to deal with the problems of non-response in sample surveys for the prior outlay of an auxiliary variable $x$. The expression of the biases and their mean square errors of the proposed estimators have been derived, upto the first order of large sample approximation under SRSWOR scheme and compared with the mean method of imputation, ratio method of imputation, regression method of imputation and the estimators of Singh and Horn (Metrika [16]), Singh and Deo (Statistical Papers [15]), Toutenburg et al. (Statistical Papers [18]), Singh (Statistics [17]) and Gira (Applied Mathematical Sciences [5]). After comparison, the condition which makes the proposed forty four estimators more efficient than others are found. To verify the theoretical results, simulation studies are performed on five real data sets. 

Keywords

Eciency, Imputation methods, Bias, Mean square error (MSE), Auxiliary variable

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