A NEW PROCEDURE FOR ESTIMATION OF FINITE POPULATION VARIANCE USING AUXILIARY INFORMATION

  • Housila P. Singh School of Studies in Statistics, Vikram University, Ujjain - 456010, Madhya Pradesh, India.
  • Surya Kant Pal School of Studies in Statistics, Vikram University, Ujjain - 456010, Madhya Pradesh, India.
  • Ramkrishna S. Solanki School of Studies in Statistics, Vikram University, Ujjain - 456010, Madhya Pradesh, India.
Keywords: Auxiliary Variable, Study Variable, Bias, Mean Square Error, Simple Random Sampling

Abstract

This paper addresses the problem of estimating the population variance of variable of interest using information on an auxiliary variable in sample surveys. A new class of ratio-type estimators is proposed. In addition to some existing estimators, large number of consistent and inconsistent estimators has been identified as a member of the proposed class of estimators. The bias and mean square error of the proposed class of estimators are obtained to the first order of approximation. The minimum mean square error of the proposed class of estimators is also obtained. The proposed class of ratio-type estimators has been compared with the usual unbiased estimator and ratio-type estimators. An empirical study has been carried out to assess the performance of the proposed estimator.

 

Downloads

Download data is not yet available.
Published
2014-12-05
Section
Articles