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

报 告 人: 史晓平博士（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: 2018年5月17日(周四)16:30-17:30

报告地点:安徽大学磬苑校区数学科学学院H306

主办单位：安徽大学数学科学学院

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科学技术处

2018年5月15日

报告人简介:

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篇)、Statistica Sinica、Computational Statistics and Data Analysis、Computational Statistics、Journal of Mathematical Analysis and Applications、Science China Mathematics、Canadian Journal of Statistics等杂志上发表论文20余篇。