Quantile Estimates in Complete and Censored Samples From Extreme-Value and Weibull Distributions

Hassanein Khatab M.; Saleh A. K. Md. Ehsanes; Brown Edward F.

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Quantile Estimates in Complete and Censored Samples From Extreme-Value and Weibull Distributions

机译：极值和威布尔分布的完整样本和删失样本的分位数估计

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摘要

This paper deals with the problem of estimating the quantiles (Â¿) = 0.01, 0.05(0.05)0.95, 0.99 of the largest extreme-value distribution by using order statistics in small samples. Linear unbiased estimators, with minimum variance, based on ordered observations are constructed for sample sizes 5(5)20 for both complete and right-censored samples.

机译：本文涉及通过使用小样本中的有序统计量来估计最大极值分布的分位数（Δ）= 0.01、0.05（0.05）0.95、0.99的问题。对于完整和右删截的样本，样本大小为5（5）20的情况下，基于有序观测值，使用具有最小方差的线性无偏估计量。

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来源
《Reliability, IEEE Transactions on》 |1984年第5期|P.370-373|共4页
作者
Hassanein Khatab M.; Saleh A. K. Md. Ehsanes; Brown Edward F.;
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作者单位

Department of Biometry;

Kansas University Medical Center;

Kansas City, Kansas 66103 USA.;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种
中图分类
关键词
Extreme-value distribution; Largest value; Order statistic; Quantile estimator; Weibull distribution;

机译：极值分布;最大值;订单统计;分位数估计;Weibull分布;

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1. A novel means of estimating quantiles for 2-parameter Weibull distribution under the right random censoring model [J] . M. I. Ageel Journal of Computational and Applied Mathematics . 2002,第2期

机译：右随机删失模型下估计两参数威布尔分布分位数的新方法
2. Sample sizes for estimating the Weibull hazard function from censored samples [J] . Meeker W.Q. Jr., Escobar L.A. IEEE Transactions on Reliability . 1992,第1期

机译：用于从审查样本中估计威布尔危害函数的样本量
3. The Effect of Mis-Specification Between the Lognormal and Weibull Distributions on the Interval Estimation of a Quantile for Complete Data [J] . HONG-FWU YU Communications in Statistics . 2012,第7a9期

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4. Parameter Estimation for Geometric-Gumbel Compound Extreme-value Distribution based on the pi-th Quantiles of Samples [C] . GUAN Qingsong, PENG Wei International Conference on Informatization in Education, Management and Business . 2015

机译：基于样品PI-TH定量的几何牙龈复合极值分布参数估计
5. Analysis of variance tests for exponentiality of two distributions: Complete and censored samples. [D] . Chen, Hui. 2008

机译：分析两个分布指数性的方差检验：完整样本和删失样本。
6. The graphical method for goodness of fit test in the inverse Weibull distribution based on multiply type-II censored samples [O] . Suk-Bok Kang, Jun-Tae Han -1

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7. Relative Efficiency of a Quantile Method for Estimating Parameters in Censored Two-Parameter Weibull Distributions [O] . Jonsson Robert 2010

机译：截尾双参数威布尔分布参数估计的分位数方法的相对效率
8. Efficient Unbiased Quantile Estimators for Moderate-Size Complete Samples from Extreme-Value and Weibull Distributions: Confidence Bounds and Tolerance and Prediction Intervals. [R] . Mann, N. R., Fertig, K. W. 1976

机译：针对极值和威布尔分布的中等大小完整样本的高效无偏分位数估计：置信区间和容差以及预测区间。

Quantile Estimates in Complete and Censored Samples From Extreme-Value and Weibull Distributions

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