TITLE:
Exponential Ratio Type Estimators of Population Mean under Non-Response
AUTHORS:
Lovleen Kumar Grover, Parmdeep Kaur
KEYWORDS:
Auxiliary Variable; Bias; Mean Square Error; Non-Response; Simple Random Sampling without Replacement; Study Variable
JOURNAL NAME:
Open Journal of Statistics,
Vol.4 No.1,
February
26,
2014
ABSTRACT: This paper
proposes some exponential ratio type estimators of population mean under the situations
when certain observations
for some sampling units are missing. These missing observations may be for
either auxiliary variable or study variable. The biases and mean square errors
of the proposed estimators have been derived, up to the first order of approximation. The proposed
estimators are compared theoretically with that of the existing ratio type
estimators defined by [1]. It has been found that the proposed exponential
ratio type estimators perform better than the mean per unit estimator even for
the low positive correlation between study variable and auxiliary variable.
Moreover, we obtained the conditions for which our proposed estimators are
better than the corresponding ratio type estimators of [1]. To verify the
theoretical results obtained, a simulation study is carried out finally.