A Note on the ARL of Two-Sided Bernoulli-Based CUSUM Control Charts

被引：15
|
作者：
Megahed, Fadel M. [1 ]
Kensler, Jennifer L. K. [2 ]
Bedair, Khaled [2 ]
Woodall, William H. [2 ]
机构：
[1] Virginia Tech, Grado Dept Ind & Syst Engn, Blacksburg, VA 24061 USA
[2] Virginia Tech, Dept Stat, Blacksburg, VA 24061 USA
来源：
JOURNAL OF QUALITY TECHNOLOGY | 2011年 / 43卷 / 01期
基金：
美国国家科学基金会;
关键词：
Average Run Length; Bernoulli CUSUM; Risk-Adjustment; Statistical Process Control; Surgical Outcomes; PROPORTION;
D O I：
10.1080/00224065.2011.11917844
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, we examine the average run length (ARL) properties of two types of two-sided Bernoulli cumulative sum (CUSUM) control charts. In particular, we give the conditions under which the ARL of the two-sided Bernoulli CUSUM chart can be determined exactly from the ARLs of the corresponding upper and lower Bernoulli CUSUM charts. This ARL relationship is established for both the standard industrial application and the risk-adjusted health-care monitoring application.
引用
收藏
页码：43 / 49
页数：7
相关论文
共 30 条
  • [21] A MODEL FOR MAINTENANCE PLANNING AND PROCESS QUALITY CONTROL OPTIMIZATION BASED ON EWMA AND CUSUM CONTROL CHARTS
    Noman, Mohammed A.
    AL-Shayea, Adel
    Nasr, Emad Abouel
    Kaid, Husam
    Al-Ahmari, Abdulrahman
    Kamrani, Ali K.
    Mahmoud, Haitham A.
    TRANSACTIONS OF FAMENA, 2021, 45 (01) : 95 - 116
  • [22] Dynamic probability control limits for risk-adjusted CUSUM charts based on multiresponses
    Zhang, Xiang
    Loda, Justin B.
    Woodall, William H.
    STATISTICS IN MEDICINE, 2017, 36 (16) : 2547 - 2558
  • [23] One-sided Control Charts Based on Precedence and Weighted Precedence Statistics
    Balakrishnan, N.
    Paroissin, C.
    Turlot, J. -C.
    QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2015, 31 (01) : 113 - 134
  • [24] The design of two-sided S2-chart with estimated in-control process variance based on conditional median run length
    Kumar, Nirpeksh
    Jaiswal, Sonam
    QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2024, 21 (06): : 851 - 868
  • [25] ARL-unbiased control charts for the monitoring of exponentially distributed characteristics based on type-II censored samples
    Guo, Baocai
    Wang, Bing Xing
    Xie, Min
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2014, 84 (12) : 2734 - 2747
  • [26] One-sided truncated EWMA control charts for monitoring two-parameter exponential distributed data
    Xie, Fupeng
    Hu, Xuelong
    Castagliola, Philippe
    Tang, Anan
    Wu, Shu
    QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2025,
  • [27] One-sided Shewhart control charts for monitoring the ratio of two normal variables in short production runs
    Kim Duc Tran
    Khaliq, Qurat-Ul-Ain
    Nadi, Adel Ahmadi
    Thi Hien Nguyen
    Kim Phuc Tran
    JOURNAL OF MANUFACTURING PROCESSES, 2021, 69 : 273 - 289
  • [28] Monitoring two-stage processes with binomial data using generalized linear model-based control charts
    Amiri, Amirhossein
    Yeh, Arthur B.
    Asgari, Ali
    QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2016, 13 (03): : 241 - 262
  • [29] A new link function in GLM-based control charts to improve monitoring of two-stage processes with Poisson response
    Ali Asgari
    Amirhossein Amiri
    Seyed Taghi Akhavan Niaki
    The International Journal of Advanced Manufacturing Technology, 2014, 72 : 1243 - 1256
  • [30] Monitoring multivariate-attribute quality characteristics in two-stage processes using discriminant analysis based control charts
    Zolfaghari, S.
    Amiri, A.
    SCIENTIA IRANICA, 2016, 23 (02) : 757 - 767
123