Abstract
Necessary and sufficient conditions are given under which all partial limit distributions for properly normalized sample extremes of i.i.d. random variables are proper and nondegenerate. In the process we study a new type of extended regular variation called asymptotic balance that should be useful in other contexts as well.
Citation
L. De Haan. S. I. Resnick. "Asymptotically Balanced Functions and Stochastic Compactness of Sample Extremes." Ann. Probab. 12 (2) 588 - 608, May, 1984. https://doi.org/10.1214/aop/1176993307
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