Joint influence of measurement error and non response on estimation of population mean

ABSTACT

In this paper, we propose a method to jointly incorporate measurement error and non response in the estimators of population mean using auxiliary information in simple random sampling. We have not only studied some available estimators but also suggested three new estimators in the presence of two types of non sampling errors occurring jointly: the measurement error and the non response. The expressions for the bias and mean square errors of proposed estimator have been derived. A comparative study is made among the proposed estimators, the Hansen and Hurwitz (1946) estimator, the Cochran's (1977) estimator, and the Singh and Kumar (2008) estimator.

KEYWORDS:

• Auxiliary variable
• bias
• dual estimator
• exponential estimator
• measurement error
• mean square error
• non sampling errors
• non-response

Mathematics Subject Classification:

• 62D05