V2EX extreme value theory

Extreme Value Theory

Definition / 定义

极值理论:研究随机变量在“极端情况下”(如最大值、最小值或超过某个高阈值的事件)会如何分布的一套概率与统计理论,常用于刻画罕见但影响巨大的风险(例如百年一遇洪水、金融市场暴跌、极端高温等)。也常译作极端值理论

Pronunciation / 发音

/kstrim vlju θiri/

Examples / 例句

Extreme value theory helps engineers estimate the risk of rare floods.
极值理论帮助工程师估计罕见洪水的风险。

Using extreme value theory, the team modeled the probability of record-breaking temperatures under climate change.
研究团队使用极值理论来建模气候变化下打破历史纪录高温出现的概率。

Etymology / 词源

该术语由 extreme(极端的)+ value(数值)+ theory(理论) 组合而成,字面意思是“研究极端数值的理论”。作为现代统计学分支,它在20世纪逐步形成体系,核心关注的是样本的最大/最小值与高阈值超越事件的规律。

Related Words / 相关词

Literary Works / 文学作品例

  • S. Coles,《An Introduction to Statistical Modeling of Extreme Values》(极值统计建模经典入门书)
  • L. de Haan & A. Ferreira,《Extreme Value Theory: An Introduction》(极值理论教材/专著)
  • P. Embrechts, C. Klüppelberg & T. Mikosch,《Modelling Extremal Events for Insurance and Finance》(保险与金融中的极端事件建模)
  • J. Pickands III,“Statistical Inference Using Extreme Order Statistics”(极值统计推断的经典论文)
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