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Empirical study in finite correlation coefficient in two phase estimation

M. Khoshnevisan (School of Accounting and Finance, Griffith University, Australia)
F. Kaymarm (Department of Mechanical Engineering, Massachusetts Institute of Technology, USA; currently at Sharif University, Tehran, Iran)
H.P. Singh (Department of Mathematics and Statistics, Vikram University, India)
R. Singh (Department of Mathematics and Statistics, Vikram University, India)
F. Smarandache (Department of Mathematics, University of New Mexico, Gallup, USA)

International Journal of Social Economics

ISSN: 0306-8293

Article publication date: 1 October 2004

Abstract

This paper proposes a class of estimators for population correlation coefficient when information about the population mean and population variance of one of the variables is not available but information about these parameters of another variable (auxiliary) is available, in two phase sampling and analyzes its properties. Optimum estimator in the class is identified with its variance formula. The estimators of the class involve unknown constants whose optimum values depend on unknown population parameters. In earlier research it has been shown that when these population parameters are replaced by their consistent estimates the resulting class of estimators has the same asymptotic variance as that of optimum estimator. An empirical study is carried out to demonstrate the performance of the constructed estimators.

Keywords

Citation

Khoshnevisan, M., Kaymarm, F., Singh, H.P., Singh, R. and Smarandache, F. (2004), "Empirical study in finite correlation coefficient in two phase estimation", International Journal of Social Economics, Vol. 31 No. 10, pp. 890-902. https://doi.org/10.1108/03068290410555381

Publisher

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Emerald Group Publishing Limited

Copyright © 2004, Emerald Group Publishing Limited