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

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• 作者：H.M. Barakat ; ^{hbarakat2@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; A.R. Omar
• 关键词：60G70 ; 62E20
• 刊名：Statistical Methodology
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：31
• 期：Complete
• 页码：1-7
• 全文大小：368 K

文摘

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.