Some limit behavior for linear combinations of order statistics

IF 0.9 4区计算机科学 Q4 COMPUTER SCIENCE, CYBERNETICS Kybernetika Pub Date : 2022-01-30 DOI:10.14736/kyb-2021-6-0970

Yu Miao, Mengyao Ma

引用次数: 0

Abstract

In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the k -th order statistics from uniform distribution, Gini mean diﬀerence statistics and the k -th order statistics from general continuous distribution are obtained.

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序统计量线性组合的一些极限行为

本文建立了等阶统计量线性组合的中偏差和大偏差。作为应用，得到了均匀分布的k阶统计量、基尼均值差分统计量和一般连续分布的k阶统计量的中、大偏差。

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

Kybernetika 工程技术-计算机：控制论

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Kybernetika is the bi-monthly international journal dedicated for rapid publication of high-quality, peer-reviewed research articles in fields covered by its title. The journal is published by Nakladatelství Academia, Centre of Administration and Operations of the Czech Academy of Sciences for the Institute of Information Theory and Automation of The Czech Academy of Sciences. Kybernetika traditionally publishes research results in the fields of Control Sciences, Information Sciences, Statistical Decision Making, Applied Probability Theory, Random Processes, Operations Research, Fuzziness and Uncertainty Theories, as well as in the topics closely related to the above fields.

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