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.