Improvement of Estimator for Population Variance using Correlation Coefficient and Quartiles of The Auxiliary Variable

Authors

Subhash Kumar Yadav, Department of Mathematics and Statistics (A Centre of Excellence on Advanced Computing) Dr. RML Avadh University, Faizabad- 224001, U.P., India
Sant Saran Mishra
Alok Kumar Shukla
Vishwas Tiwari

Author Country (or Countries)

India

Abstract

In the present paper, we propose an improved estimator of population variance for the main variable under study under simple random sampling without replacement (SRSWOR) scheme utilizing the correlation coefficient between the study variable and an auxiliary variable along with the inter-quartile range of the auxiliary variable. The expressions for the bias and Mean Square Error (MSE) of proposed estimator have been corrected up to first order of approximation. A comparison has been made with many of the existing estimators of population variance both theoretically and through numerical examples using real secondary data. An improvement of the proposed estimator has been shown over all of the estimators considered in the paper.

Suggested Reviewers

N/A

Recommended Citation

Kumar Yadav, Subhash; Saran Mishra, Sant; Kumar Shukla, Alok; and Tiwari, Vishwas (2015) "Improvement of Estimator for Population Variance using Correlation Coefficient and Quartiles of The Auxiliary Variable," Journal of Statistics Applications & Probability: Vol. 4: Iss. 2, Article 9.
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol4/iss2/9