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arXiv 1606.08628math.STmath.PRstat.TH
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用高阶顺序统计量判别威布尔分布与对数威布尔分布的近似假设

Discrimination between close hypotheses about Weibull and log-Weibull type distributions by the higher order statistics

Igor Rodionov

摘要:

本文讨论了属于Gumbel最大吸引区域吸引区域的分布的密切假设之间的歧视问题。所提出的工作的显着特点是只使用k个较高的顺序统计量的样本在建设的标准,因为有很多情况下,我们不知道整个样本,因为它发生在与安全,寿命,灾难,海平面等问题。这项工作是第一次在一系列的作者的作品,处理统计极值。

英文摘要:

The proposed paper discusses the problem of discrimination between close hypotheses about distributions belonging to the Gumbel maximum domain of attraction. The distinctive feature of the proposed work is using only k higher order statistics of the sample in the construction of criteria, because there are many situations when we do not know the whole sample, as it occurs in the problems linked with safety, life span, catastrofes, sea level and other. This work is the first in the series of the author's works that deal with the statistics of extrema.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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