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Empirical study in finite correlation coefficient in two phase estimation

Empirical study in finite correlation coefficient in two phase estimation 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Social Economics Emerald Publishing

Empirical study in finite correlation coefficient in two phase estimation

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Publisher
Emerald Publishing
Copyright
Copyright © 2004 Emerald Group Publishing Limited. All rights reserved.
ISSN
0306-8293
DOI
10.1108/03068290410555381
Publisher site
See Article on Publisher Site

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.

Journal

International Journal of Social EconomicsEmerald Publishing

Published: Oct 1, 2004

Keywords: Correlation analysis; Variance; Estimation

References