学术报告

A Nonparametric Estimator of the Extremal Index

阅读次数:568

题目:A Nonparametric Estimator of the Extremal Index
报告人:Professor Juanjuan Cai (代尔夫特理工大学)
地点:致远楼101室
时间:2019年11月2日晚19:30
摘要:Clustering of extremes usually has a large societal impact. The extremal index, a number in the unit interval, is a key parameter in modelling the clustering of extremes. We build a connection between the extremal index and the stable tail dependence function, which enables us to compute the value of extremal indices for some time series models. We also construct a nonparametric estimator of the extremal index and an estimation procedure to verify D(d)(un) condition, a local dependence condition often assumed when studying extremal index. We prove that the estimators are asymptotically normal. The simulation study compares our estimator to two existing methods, which shows that our method has good finite sample properties. We also apply our method to estimate the expected durations of heatwaves in the Netherlands and in Greece.

欢迎广大师生前来参加

联系我们

    电话:86-21-65981384

    地址:上海市四平路1239号 致远楼

Copyright © 2018  同济大学数学科学学院 版权所有.