Southwest Jiaotong University School of Mathematics

统计系

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美国佐治亚州立大学赵亦川教授学术报告

来源:   作者:统计系     日期:2019-06-10 14:40:22   点击数:  

报告时间: 2019年06月14日周五上午10:30

报告地点: X2511

报告题目: Rank-based estimating equation with non-ignorable missing responses

报告摘要: In this talk, a general regression model with responses missing not at random is considered. From a rank-based estimating equation, a rank-based estimator of the regression parameter is derived. Based on this estimator's asymptotic normality property, a consistent sandwich estimator of its corresponding asymptotic covariance matrix is obtained. In order to overcome the over-coverage issue of the normal approximation procedure, the empirical likelihood based on the rank-based gradient function is defined, and its asymptotic distribution is established. Extensive simulation experiments under different settings of error distributions with different response probabilities are considered, and the simulation results show that the proposed empirical likelihood approach has better performance in terms of coverage probability and average length of confidence intervals for the regression parameters compared with the normal approximation approach and its least-squares counterpart. A data example is provided to illustrate the proposed methods.

报告人简介:赵亦川教授目前任职于美国佐治亚州立大学,他的学术研究包括生存分析、经验似然方法、非参数统计、ROC曲线分析、生物信息学、蒙特卡洛方法和模糊系统的统计模型。赵教授在广泛的统计学和生物统计学研究领域发表了近百篇研究论文,作为组织委员会主席,成功组织了多个在亚特兰大召开的大型国际学术会议。赵教授目前是若干统计学术期刊的编辑或编委会成员,也是国际统计学会的成员。