Improved Ratio and Product Exponential type Estimators for Finite Population Mean in Stratified Random Sampling

Rohini Yadav, Lakshmi N. Upadhyaya, Housila P. Singh and S. Chatterjee

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 15, 3269-3285

Abstract: This article addresses the problem of the estimation of the population mean Y‾${\rm \bar Y} $ of the study variable y using auxiliary variable x in stratified random sampling. Classes of ratio and product exponential type estimators are proposed. The biases and mean squared errors of the suggested estimators are obtained upto the first order of approximation. Conditions are obtained under which the proposed estimators are better than usual unbiased estimator, conventional combined ratio and product estimators and Singh et al. (2008) estimators. Asymptotic optimum estimators (AOEs) in the proposed classes of estimators are identified alongwith their mean squared errors formulae. Estimators based on estimated optimum values are obtained with their mean squared errors expressions. An empirical study has been carried out to examine the merits of the suggested estimators over others.

Date: 2014
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DOI: 10.1080/03610926.2012.694547

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