Exponential Ratio Type Estimators of Population Mean using Two Auxiliary variables under Non-response

Authors

  • Lakhkar Khan Associate Professor of Statistics, Govt. Postgraduate College Mardan, Pakistan
  • Imad Khan Lecturer in Statistics, GPGC Mardan, Pakistan

Keywords:

Auxiliary Variables, Bias, Mean squared error, Nonresponse

Abstract

In this paper, we propose exponential ratio type estimators for
estimating the population mean of the study variable using
information on two auxiliary variables under the situations when
certain observations for some sampling units are missing. These
missing observations may either be in auxiliary or study
variables. The expressions for bias and mean square error of the
proposed estimators are obtained up to first order of
approximation using simple random sampling without
replacement (SRSWOR). Comparison of the proposed
exponential ratio type estimators with revised ratio estimators
are made both theoretically and through simulation studies. The
simulation study showed that proposed estimators are efficient
as compared to their competitor estimators.

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Published

2023-02-23