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主題： A new robust regression model: Type II multivariate t distribution with applications

主講人：田國(guó)梁博士（香港大學(xué)統(tǒng)計(jì)與精算學(xué)系副教授）

時(shí)間：2016年5月25日（周三）上午10:00-11:00

地點(diǎn)：北院卓遠(yuǎn)樓305

主辦單位：統(tǒng)計(jì)與數(shù)學(xué)學(xué)院、科研處

摘要：Motivated by a real data analysis, we in this paper propose a new multivariate t (MVT) distribution via stochastic representation instead of the joint density function. This new distribution is called Type II MVT distribution, which possesses several remarkable features including (1) all components follow univariate t-distributions with different degrees of freedom, (2) it could include components following the multivariate normal distributions when the corresponding degrees of freedom approach to infinity, and (3) it could contain independent/uncorrelated components. Because of avoiding three drawbacks associated with the traditional MVT distribution, this new distribution is more flexible in model specification and applicable to any high-dimensional data. Important distributional properties are explored and useful statistical methods are developed. Simulation studies are performed to evaluate the proposed methods. Two biomedical data sets are used to compare the proposed Type II MVT distribution with the traditional MVT distribution.

田國(guó)梁博士簡(jiǎn)介：統(tǒng)計(jì)學(xué)博士,，香港大學(xué)統(tǒng)計(jì)與精算學(xué)系副教授，研究領(lǐng)域包括零過(guò)多計(jì)數(shù)數(shù)據(jù)分析,、不完全分類(lèi)數(shù)據(jù)分析,、敏感性問(wèn)題抽樣調(diào)查等，在國(guó)際主流學(xué)術(shù)刊物上共發(fā)表80 多篇統(tǒng)計(jì)學(xué),、醫(yī)學(xué)統(tǒng)計(jì)方面的學(xué)術(shù)論文,，在國(guó)際著名出版社Chapman and Hall/CRC3和John Wiley & Sons出版專(zhuān)著3部。目前擔(dān)任Computational Statistics and Data Analysis, Statistics and Its Interface; Communications in Statistics - Theory and Methods; Communications in Statistics - Simulation and Computation等4個(gè)國(guó)際SCI期刊副主編,。