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Journal of Nonparametric Statistics Volume 23, 2011 - Issue 2
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Original Articles

Nonparametric overlap coefficient estimation using ranked set sampling

Amal Helu Department of Mathematics, University of Jordan, Amman, Jordan
,
Hani Samawi Karl Peace Center for Biostatistics, Jiann-Ping Hsu College of Public Health, Georgia Southern University, Statesboro, GA, USACorrespondence[email protected]
&
Robert Vogel Karl Peace Center for Biostatistics, Jiann-Ping Hsu College of Public Health, Georgia Southern University, Statesboro, GA, USA
Pages 385-397 | Received 01 Sep 2009, Accepted 18 Oct 2010, Published online: 07 Jan 2011
 
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Abstract

Ranked set sampling is used to produce a nonparametric kernel estimator of the overlap measure. Some asymptotic properties of the kernel estimator of overlap measure are established. Simulation studies are used to get an insight about the performance of the estimator when the ranked set sampling is used. Illustration using real data is also provided.

Acknowledgements

The authors are sincerely grateful to the reviewers and the associate editor for their valuable comments which helped improve the paper.

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