Nonparametric overlap coefficient estimation using ranked set sampling

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.

Keywords:

• overlap measures
• kernel density estimation
• relative bias
• relative efficiency
• ranked set sampling
• simple random sample

Acknowledgements

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