A new statistic for detecting outliers in Rayligh distribution

Einolah Deiri

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A new statistic for detecting outliers in Rayligh distribution

机译：一个新的统计Rayligh检测异常值分布

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Zerbet and Nikulin (Commun Statist Theor Meth 32(3): 573-583, 2003) presented the new statistic Z_k for detecting outliers in exponential distribution. They also compared this statistic with Dixon's statistic D_k. Jabbari et al. (Commun Statist Theor Meth 39(4): 698-706, 2010) expend this statistic (Z_k) for Gamma distribution. In this paper, we generalize statistics Z_k-Z_k, for detecting outliers in Rayligh distribution and compare the results with the generalized Dixon's statistic. Distribution of the test based on the statistic Z_k under slippage alternatives is obtained. The criterion value and power of the new test are also calculated and compared with the criterion value of the Dixon's statistic. The results show that the test based on statistic Z_k is more powerful than the test based on the statistic D_k.

机译：Zerbet和大公爵(Commun Statist Theor冰毒32(3): 573 - 583, 2003)提出了新的数据Z_k检测异常值的指数分布。迪克森的统计D_k。(Commun集权理论的冰毒39 (4):698 - 706,2010)消耗统计(Z_k)γ分布。统计Z_k-Z_k检测异常值Rayligh分布和比较结果广义Dixon的统计。基于统计Z_k下测试的滑动的替代品。价值和力量的新的测试也计算并与标准的值迪克森的统计。测试基于统计Z_k更强大基于统计D_k比测试。

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来源
《Life Cycle Reliability and Safety Engineering》 |2021年第2期|135-138|共4页
作者
Einolah Deiri;
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作者单位

Department of Statistics, Islamic Azad University;

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原文格式 PDF
正文语种英语
中图分类安全科学;
关键词
outliers; z statistic; power of testGamma DistributionExponential distribution;

机译：离群值;z统计量;testGamma的力量DistributionExponential分布;

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A new statistic for detecting outliers in Rayligh distribution

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