摘要
极值指数的估计是极值理论里一个基本问题.本文基于一类极值指数的Pickands型估计量,给出了分布的大分位数与上端点的估计,还讨论了这些估计量的渐近性质.
The estimation of extreme value index is a primary problem in extreme value theory.In this paper,based on a Pickands-type estimator for the extreme value index,estimators for a large quantile and the upper endpoint of a probability distribution are established.Furthermore,the asymptotic properties of these estimators are discussed.
出处
《工程数学学报》
CSCD
北大核心
2014年第3期424-434,共11页
Chinese Journal of Engineering Mathematics
基金
The National Natural Science Foundation of China(60874107
10771148)
the Opening Fund of Geomathematics Key Laboratory of Sichuan Province(scsxdz2011006)