GENERAL CLASS OF EXPONENTIAL ESTIMATOR FOR ESTIMATING FINITE POPULATION VARIANCE

  • Aamir Sanaullah Department of Statistics, COMSATS Institute of Information Technology, Lahore, Pakistan
  • Amber Asghar Department of Statistics, Virtual University of Pakistan, Lahore, Pakistan
  • Muhammad Hanif National College of Business Administration and Economics, Lahore, Pakistan
Keywords: Population Variance, Auxiliary Variable, Exponential Estimator, Single-phase Sampling, Mean Square Error, Bias

Abstract

In this article, we consider the problem of estimating an unknown population variance using two auxiliary variables. A generalized exponential estimator along with a class of estimators has been proposed for estimating population variance. The bias and the mean square error of the proposed estimator are obtained to the first order of approximations. It is shown that the proposed generalized estimator is more efficient than the existing literature estimators. An empirical and a simulated study have also been carried out to demonstrate the efficiency of proposed estimator with the literature.

 

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Published
2017-10-11
Section
Articles