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High Dimensional Asymptotics for the Naive Hotelling T^2 Statistic in Pattern Recognition
澳门新葡8455最新网站:2016年09月30日 09:13 点击数:

报告人:Kanta Naito

报告地点:地理楼四楼报告厅

报告澳门新葡8455最新网站:2016年10月09日星期日 10:10-10:40

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报告摘要:

    This paper examines the high dimensional   asymptotics of the naive Hotelling         statistic.   Naive Bayes has been utilized in high dimensional pattern recognition as a   method to avoid singularities in the estimated covariance matrix. Though the   naive Hotelling         statistic is a   statistically important quantity in naive Bayes, its high dimensional   behavior has not been studied. In this paper, asymptotic normality of the   naive Hotelling         statistic under   a high dimension low sample size setting is developed by using the central limit   theorem of a martingale difference sequence. Simulation results under several   covariance structures are also reported.

主讲人概况:

Kanta Naito, 日本Shimane University教授。1992年、1994年于Shimane University获学士、硕士学位;1997年于Hiroshima University获博士学位。1998-2003年于Shimane University任讲师,2004-2012年任ibid副教授,2012至今于Shimane University任教授。主要从事统计学研究,公开发表论文40余篇,现(曾)任Journal of Japan Statistical Society、Annals of Institute of Statistical Mathematics、Journal of Korean Statistical Society编委。

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