Abstract
In this paper, we study the asymptotic distribution of the plug-in kernel density estimator of the Matusita's overlapping measure. By utilizing the convergence of functional of stochastic processes, we show, under certain conditions, that the asymptotic distribution of the plug-in kernel density estimator (KDE) of Matusita's overlapping measure is normal distribution. Also, a small simulation study is conducted to support the theoretical finding of this paper. Furthermore, we apply our finding to a breast cancer data.
| Original language | English |
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| Journal | Communications in Statistics - Theory and Methods |
| Publication status | Published - 2021 |
Keywords
- Asymptotic distribution
- kernel density estimation
- limiting distribution
- Matusita's overlapping measure
- breast cancer