A study on the chain ratio-ratio-type exponential estimator for finite population variance

ABSTRACT

This paper considers the problem of estimating the population variance S²_y of the study variable y using the auxiliary information in sample surveys. We have suggested the (i) chain ratio-type estimator (on the lines of Kadilar and Cingi (2003)), (ii) chain ratio-ratio-type exponential estimator and their generalized version [on the lines of Singh and Pal (2015)] and studied their properties under large sample approximation. Conditions are obtained under which the proposed estimators are more efficient than usual unbiased estimator s²_y and Isaki (1893) ratio estimator. Improved version of the suggested class of estimators is also given along with its properties. An empirical study is carried out in support of the present study.

KEYWORDS:

• Auxiliary variable
• study variable
• finite population variance
• bias
• mean squared error
• efficiency.

AMS CLASSIFICATIONS:

• 62D05

Acknowledgments

Authors are thankful to Editor-in-Chief Prof. N. Balakrishnan and both the referees for their valuable suggestions regarding improvement of the paper.