Extreme Value Statistics for General Heterogeneous Data through the Average Tail
通过平均分布尾部分析一般异质数据的极值统计
In the general setting of independent data with possibly very different distributions, extreme value estimators inevitably target the tail of the average distribution function. We consider all possible cases, that is, the extreme value index of the average distribution can be negative, zero, or positive, and we present novel asymptotic theory for the moment estimator. Our results require a different and much more challenging proof than those for the power-law case and are…