ARL-unbiased control charts with alarm and warning lines for monitoring Weibull percentiles using the first-order statistic

Xiaohui Huang; Francis Pascual

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ARL-unbiased control charts with alarm and warning lines for monitoring Weibull percentiles using the first-order statistic

机译：带有警报和警告线的ARL无偏控制图，用于使用一阶统计量监控Weibull百分位数

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This article discusses methodology for constructing control charts to monitor the percentiles of a Weibull process with known shape parameter. Periodic samples are censored at the smallest observed value. Charts with alarm and warning limits are studied, and these limits are derived using theoretical results based on the first-order statistic. The performance of the proposed charts is evaluated and compared using average run lengths. A numerical application concerning life tests of an electronic product is presented to illustrate the methods.

机译：本文讨论了构造控制图以监视具有已知形状参数的威布尔过程的百分位数的方法。定期抽样以最小观察值进行检查。研究了带有警报和警告极限的图表，并根据一阶统计量使用理论结果得出这些极限。使用平均游程长度评估并比较建议图表的性能。提出了有关电子产品寿命测试的数值应用来说明这些方法。

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来源
《Journal of statistical computation and simulation》 |2011年第12期|p.1677-1696|共20页
作者
Xiaohui Huang; Francis Pascual;
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作者单位

Department of Management and Operations, Washington State University, Pullman, WA 99164-4736,USA;

Department of Statistics, Washington State University, Pullman, WA 99164-3144, USA;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
censored data; probability limits; statistical process control;

机译：审查数据;概率极限;统计过程控制;

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1. A Bayesian control chart for monitoring the ratio of Weibull percentiles [J] . Erto Pasquale, Lepore Antonio, Palumbo Biagio, Quality and Reliability Engineering International . 2019,第5期

机译：贝叶斯控制图，用于监控威布尔百分位数的比率
2. A Bayesian control chart for monitoring the ratio of Weibull percentiles [J] . Erto Pasquale, Lepore Antonio, Palumbo Biagio, Quality and Reliability Engineering International . 2019,第5期

机译：监测Weibull百分比比率的贝叶斯控制图
3. New control charts for monitoring the Weibull percentiles under complete data and Type-Ⅱ censoring [J] . Wang Fu-Kwun, Bizuneh Berihun, Cheng Xiao-Bin Quality and Reliability Engineering International . 2018,第3期

机译：新的控制图，可在完整数据和II型检查下监视威布尔百分位数
4. FIRST-ORDER STATISTICS-BASED CONTROL CHARTS FOR WEIBULL PERCENTILES [C] . Xiaohui Huang, Francis Pascual Annual meeting of the Decision Sciences Institute . 2009

机译：基于一阶统计量的威布尔百分数的控制图
5. Statistical Process Control for Monitoring Type I Censored Weibull Lifetimes and INAR(1) Processes [D] . Xu, Shangjie. 2018

机译：用于监视I型删失Weibull寿命和INAR（1）过程的统计过程控制
6. An attribute control chart for a Weibull distribution under accelerated hybrid censoring [O] . Muhammad Aslam, Osama H. Arif, Chi-Hyuck Jun 2012

机译：加速混合检查下威布尔分布的属性控制图
7. A SEMI-EMPIRICAL BAYESIAN CHART TO MONITOR WEIBULL PERCENTILES∗ [O] . Pasquale Erto, See Profile, Giuliana Pallotta, 2016

机译：一个半经验的贝叶斯图表，用于监测威布鲁的陨石*

ARL-unbiased control charts with alarm and warning lines for monitoring Weibull percentiles using the first-order statistic

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