Table of Contents
ISRN Probability and Statistics
Volume 2012, Article ID 509186, 7 pages
Research Article

Some Improved Multivariate-Ratio-Type Estimators Using Geometric and Harmonic Means in Stratified Random Sampling

Department of Statistics, Banaras Hindu University, Varanasi 221005, India

Received 20 April 2012; Accepted 13 June 2012

Academic Editors: S. Lototsky, V. Makis, A. Pascucci, and O. Pons

Copyright © 2012 Sachin Malik and Rajesh Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Auxiliary variable is commonly used in survey sampling to improve the precision of estimates. Whenever there is auxiliary information available, we want to utilize it in the method of estimation to obtain the most efficient estimator. In this paper using multiauxiliary information we have proposed estimators based on geometric and harmonic mean. It was also shown that estimators based on harmonic mean and geometric mean are less biased than Olkin (1958) and Singh (1967) estimators under certain conditions. However, the MSE of Olkin (1958) estimator and geometric and harmonic estimators are same up to the first order of approximations.