标题: Tail Index Regression: A Regression Model for Extreme Financial Data Analysis
汇报人: Prof.Hansheng Wang(J9集团国际站商务统计与经济计量系)
功夫:2009年3月9日(周一)下午2:00-3:00
地址:J9集团国际站新楼217室
Abstract:
In extreme value statistics, the tail index is an important measure to gauge the heavy-tailed behavior of a distribution.Under Pareto-type distributions, we employ the logarithmic function to link the tail index to the linear predictor induced by covariates, which constitutes the tail index regression model. We then propose an approximate log-likelihood function to obtain regression parameter estimators, and subsequently show the asymptotic normality of those estimators.
Numerical studies are presented to illustrate theoretical findings. The complete manuscript: http://hansheng.gsm.pku.edu.cn/english.htm