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On the asymptotic distribution of Matusita's overlapping measure
Communications in Statistics - Theory and Methods ( IF 0.6 ) Pub Date : 2021-01-12
M. T. Alodat, Moh’d Al Fayez, Omer Eidous

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.



中文翻译:

Matusita重叠测度的渐近分布

摘要

在本文中,我们研究了Matusita重叠测度的插件核密度估计器的渐近分布。通过利用随机过程的收敛性,我们证明了在一定条件下,Matusita重叠测度的插入核密度估计器(KDE)的渐近分布是正态分布。此外,进行了一次小型模拟研究以支持本文的理论发现。此外,我们将我们的发现应用于乳腺癌数据。

更新日期:2021-01-12
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