Average quantile regression: a new non-mean regression model and coherent risk measure
报告人:姜荣
报告地点:人民大街校区数学与统计学院415教室
报告时间:2025年09月12日星期五16:00-17:00
邀请人:孟祥斌
报告摘要:
In this talk, I will introduce the innovative concept of Average Quantile Regression (AQR), which is smooth at the quantile-like level, comonotonically additive, and explicitly accounts for the severity of tail losses relative to quantile regression. AQR serves as a versatile regression model capable of describing distributional information across all positions, akin to quantile regression, yet offering enhanced interpretability compared to expectiles. Numerous traditional regression models and coherent risk measures can be regarded as special cases of AQR. The corresponding estimators are rigorously derived, and their asymptotic properties are thoroughly developed. In a risk management context, the case study confirms AQR's effectiveness in risk assessment and portfolio optimization.
主讲人简介:
姜荣,上海对外经贸大学,统计与数据科学学院,教授,中国现场统计研究会旅游大数据分会常务理事。在《Journal of Business & Economic Statistics》、《Journal of Financial Econometrics》、《Test》、《Neurocomputing》和《Journal of Multivariate Analysis》等国际期刊上发表论文30余篇。主持国家自然科学基金3项、教育部人文社科基金和上海市扬帆计划等项目。