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

Q Mathematics

Statistical Methodology Pub Date : 2016-07-01 DOI:10.1016/j.stamet.2016.01.001

H.M. Barakat, A.R. Omar

引用次数: 1

Abstract

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.

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幂归一化下中阶统计量极限律的吸引域注记

本文比较了幂归一化下中阶统计量极限律的吸引域与线性归一化下中阶统计量极限律的吸引域。通过比较，我们得到了在幂归一化条件下，对于每一个可能的中阶统计量极限律，单变量分布函数属于吸引域的充分必要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Statistical Methodology STATISTICS & PROBABILITY-

CiteScore

0.59

自引率

0.00%

发文量

期刊介绍： Statistical Methodology aims to publish articles of high quality reflecting the varied facets of contemporary statistical theory as well as of significant applications. In addition to helping to stimulate research, the journal intends to bring about interactions among statisticians and scientists in other disciplines broadly interested in statistical methodology. The journal focuses on traditional areas such as statistical inference, multivariate analysis, design of experiments, sampling theory, regression analysis, re-sampling methods, time series, nonparametric statistics, etc., and also gives special emphasis to established as well as emerging applied areas.