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2018概率统计及其应用系列报告之四(史晓平)

  发布日期:2018-05-15  浏览量:589


报告题目: Approximation of the expected value of the harmonic mean and some applications

: 史晓平加拿大汤姆森河大学大学助理教授

报告摘要:Although the harmonic mean (HM) is mentioned in textbooks along with the arithmetic mean (AM) and the geometric mean (GM) as three possible ways of summarizing the information in a set of observations, its appropriateness in some statistical applications is not mentioned in textbooks. During the last 10 years, a number of papers were published giving some statistical applications where HM is appropriate and provides a better performance than AM. In the present paper some additional applications of HM are considered. The key result is to find a good approximation to E(Hn), the expectation of the harmonic mean of n observations from a probability distribution. In this paper a second-order approximation to E(Hn) is derived and applied to a number of problems.

报告时间: 2018517(周四)  16:30-17:30

报告地点: 磬苑校区澳门赌搏网站大全H306

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专家概况:

史晓平,2002年毕业于重庆大学应用数学本科专业,而后加入合肥工业大学担任助教职务。2008年获得中国科学技术大学概率统计硕士学位,随后赴加拿大约克大学攻读统计博士学位并于2011年获得博士学位。紧接着在多伦多大学从事博士后研究,随后分别在约克大学和圣弗朗西斯·格扎维埃大学任教。2016年加入汤姆森河大学至今担任助理教授职务。主要从事分布近似、复合似然推断、变量选择、基于图论方法的变点检测,以及图像的去噪等工作。已在Proceedings of the National Academy of Sciences(美国国家科学院院刊2)Statistica SinicaComputational Statistics and Data AnalysisComputational StatisticsJournal of Mathematical Analysis and ApplicationsScience China MathematicsCanadian Journal of Statistics等杂志上发表论文20余篇。

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