In the explanation of the extreme value theorem, it extracts the distribution of Frechet, Gumbel and Weibull, offers the forms and field of definitions and finally unifies the three distributions in generalized extreme value. 在极值型定理的阐述中,引出了Frechet、Gumbel和Weibull分布,给出了三个分布的形式和定义域,最终将这三个分布统一于广义的极值分布。
While estimating the parameter of the distribution of the generalized extreme value, the maximum likelihood estimation and probability-weighted moments are the effective and commonly used means. 在估计广义极值(GEV)分布的参数时,常用的有效的方法有极大似然估计和概率加权估计。
Based on the distribution of the generalized extreme value, the author obtains the formula of BMM model to measuring risks. So long as make use of data to work out the parameter of the BMM model, the estimated value of risk can be obtained. 在广义极值(GEV)分布的基础上,得出了BMM模型的风险度量表达式,只要利用数据求出BMM模型的参数就可以得出风险估计值。
Computation of design basic wind velocity and its confidence limits based on generalized extreme value distribution 基于广义极值(GEV)分布的设计基本风速及其置信限计算
Generalized true effective solutions of problem of non-smooth vector extreme value 非光滑向量极值问题的广义真有效解