创源大讲堂学术讲座系列
讲座题目: Jackknife empirical likelihood-based inferences for a low
income proportion
报告人： Gengsheng Qin 教授，佐治亚州立大学数学与统计学院
主持人： 殷向荣教授
讲座时间：2014年6月27日下午 3:00pm-4:00pm
讲座地点：犀浦校区二号教学楼X2511
内容简介: Low income proportion is an important
index in describing the inequality of an income distribution. It has been
widely used by governments in measuring social stability around the world.
Established inferential methods for this
index are based on the empirical estimator of the index. It may have poor finite sample performances when the real
income data is skewed or has outliers. In this paper, we propose a smooth
estimator of the low income proportion, and a smoothed jackknife empirical
likelihood approach for inferences of the low income proportion. Wilks theorem
is obtained for the proposed jackknife empirical likelihood ratio statistic.
Various confidence intervals based on the smooth estimator are constructed.
Extensive simulation studies are conducted to compare the finite sample
performances of the proposed intervals with some existing intervals. Finally,
the proposed methods are illustrated by a public income dataset of the
professors in University System of Georgia.
主讲人简介：
Qin,Gengsheng，佐治亚州立大学教授、研究生主任，博士毕业于香港科技大学，分别在加拿大维多利亚大学以及美国印第安那大学做博士后。现任国际统计杂志Annals of Statistics，Annals of the Institute of Statistical
Mathematics，Australia and New Zealand Journal of
Statistics，Biometrics，Canadian Journal of Statistics等杂志审稿人，发表学术论文四十余篇。
主办：研究生院
承办：数学学院
