Improved two phase sampling exponential ratio and product type estimators for population mean of study character in the presence of non response

Abstract

Improved two phase sampling exponential ratio and product type estimators for population mean using known coefficient of variation of study character in the presence of non response have been proposed and their properties are studied under large sample approximation. The proposed estimators are compared with the other existing estimators by using the MSE criterion and the conditions under which the proposed estimators perform better are obtained. An empirical study is also given to judge the performance of the proposed estimators. At the end, simulation studies have been carried out to verify the superiority to the proposed estimators.

Keywords:

• Auxiliary character
• coefficient of Variation of study character
• non response
• study character

Mathematics Subject Classification:

• 62D05

Acknowledgments

The authors are very much indebted to the editor-in-chief Prof. N. Balakrishnan and learned referees for their valuable suggestions leading to improvement of the quality of contents and presentation of the original manuscript.