【学术讲座】学术报告预告

 

人:叶仁道

报告时间:2017121日(星期五) 上午9:00-10:00

报告地点:品C209

参加人员:全校师生

报告题目:Distribution of matrix quadratic forms under skew-normal settings

报告人简介

 

叶仁道,男,博士、教授、博导。入选浙江省高等学校中青年学科带头人、浙江省“151人才”第三层次、浙江省“之江青年社科学者”、校中青年拔尖人才计划、校青年教学新秀。主持国家自然科学基金2项、省部级课题7项,在Journal of Multivariate Analysis、Computational Statistics and Data Analysis、《数学学报》等国内外学术刊物上发表论文30余篇,其中第一作者SCI论文15篇,出版专著教材3部。作为负责人或主要成员获浙江省高校科研成果奖二等奖2项、三等奖1项、杭州市哲学社科优秀成果二等奖、浙江省国际经济贸易研究优秀成果奖三等奖、京津地区青年概率统计会议优秀论文奖、浙江省教学成果二等奖等多个奖项。

 

Abstract: For a class of skew-normal matrix distributions, the density function, moment generating function and independence conditions are obtained. The noncentral skew Wishart distribution is defined, and the necessary and sufficient conditions under which a quadratic form is noncentral skew Wishart distributed random matrix are established. A new version of Cochran's theorem is given.

For illustration, our main results are applied to two examples.