The sums and maxima of non-stationary random length sequences of regularly varying random variables may have the same tail and extremal indices, Markovich and Rodionov (2020). The main constraint is that there exists a unique series in a scheme of series with the minimum tail index. The result is now revised allowing a random bounded number of series to have the minimum tail index. This new result is applied to random networks.
翻译:经常变化的随机变量的非静止随机随机序列总和和最大长度可能具有相同的尾部和末端指数,Markovich和Rodionov(2020年),主要限制因素是,在一组序列中存在一个独特的序列,其最低尾部指数为最小。结果现在经过修订,允许随机串列的序列数拥有最小尾部指数。这一新结果适用于随机网络。