A Class of Estimators Using Auxiliary Information for Estimating Finite Population Variance in Presence of Measurement Errors

Abstract

This article addresses the problem of estimating the population variance using auxiliary information in the presence of measurement errors. When the measurement error variance associated with study variable is known, a class of estimators of the population variance using auxiliary information has been proposed. We obtain the bias and mean squared errors of the suggested class of estimators upto the terms of order n ⁻¹, and also optimum estimators in asymptotic sense of the class with approximate mean squared error formula.

Keywords:

• Auxiliary variate
• Measurement error
• Study variate

Mathematics Subject Classification:

• Primary 62-xx
• Secondary 62D05

Acknowledgment

The authors are thankful to the referees and the Editor for their valuable suggestions regarding improvement of the article.