An Improvement in Variance Estimation Using Information on Median and Coefficient of Kurtosis of an Auxiliary Variable

Authors

G. N. Singh, Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, India
A. K. Pandey
C. Singh
M. Usman

Author Country (or Countries)

India

Abstract

The objective of the present work is to develop an efficient estimation procedure to enhance the precision of estimate of a finite population variance under simple random sampling without replacement (SRSWOR) scheme. Utilizing information on median and coefficient of kurtosis of an auxiliary variable, an improved ratio-type estimator of population variance has been suggested. The properties of the proposed estimation procedure have been examined and empirical studies are performed to show the dominance over some contemporary estimators. Suitable recommendations are made to the survey practitioners.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/070207

Recommended Citation

N. Singh, G.; K. Pandey, A.; Singh, C.; and Usman, M. (2018) "An Improvement in Variance Estimation Using Information on Median and Coefficient of Kurtosis of an Auxiliary Variable," Journal of Statistics Applications & Probability: Vol. 7: Iss. 2, Article 7.
DOI: http://dx.doi.org/10.18576/jsap/070207
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol7/iss2/7