On the asymptotic distribution of Matusita's overlapping measure

M. T. Alodat, Moh’d Al Fayez and Omer Eidous

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 20, 6963-6977

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:51:y:2022:i:20:p:6963-6977

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DOI: 10.1080/03610926.2020.1869260

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