Some Improved Multivariate-Ratio-Type Estimators Using Geometric and Harmonic Means in Stratified Random Sampling. (26th August 2012)

• Record Type: Journal Article
• Authors: Malik, Sachin; Singh, Rajesh
• Other Names: Lototsky S. Academic Editor.; Makis V. Academic Editor.; Pascucci A. Academic Editor.; Pons O. Academic Editor.
• Is Part Of: ISRN probability and statistics. Volume 2012(2012)
• Publication Date: 2012-08-26
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Electronic journals; Periodicals; 519
• DOI: 10.5402/2012/509186
• Languages: English
• ISSNs: 2090-4711

Abstract

Abstract : 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.