A note on domains of attraction of the limit laws of intermediate order statistics under power normalization

摘要

In this paper we compare the domains of attraction of limit laws of intermediate order statistics under power normalization with those of limit laws of intermediate order statistics under linear normalization. As a result of this comparison, we obtain necessary and sufficient conditions for a univariate distribution function to belong to the domain of attraction for each of the possible limit laws of intermediate order statistics under power normalization. (C) 2016 Elsevier B.V. All rights reserved.