Nonparametric Overlap Coefficient Estimate Using Ranked

Amal Helu, Georgia Southern University
Hani Samawi, Georgia Southern University
Robert L. Vogel, Georgia Southern University


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.