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Inference for Generalized partial functional linear regression
时间:2018年02月28日 09:30 点击数:

报告人:朱仲义

报告地点:数学与统计学院415报告厅

报告时间:2018年02月28日星期三15:00-16:00

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报告摘要:

We study generalized partial functional linear models and aim at conducting inference for these models. A Bahadur representation for both functional and scalar estimates is developed, and we find the joint distribution of the scalar estimates and the functional part to be asymptotically independent. A penalized likelihood ratio test has been proposed to do hypothesis testing relating to the parameters, whose null limit distribution is verified as a normal distribution. Simulation studies provide numerical support for the asymptotic properties. Data of air pollution are used to illustrate our methodology.

主讲人简介:

2015年获得教育部自然科学二等奖,2008-2010年两次访问美国北卡州立大学,2007年访问美国University of Illinois at Urbana Champaign统计学系,1999年10月2002.12,两次访问香港大学,发在Annals of The Institute of Statistical Mathematics等杂志发表论文80余篇。

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