A STUDY OF THE MEDIAN RUN LENGTH (MRL) PERFORMANCE OF THE EWMA t CHART FOR THE MEAN

被引:8
|
作者
Chin, W. S. [1 ]
Khoo, M. B. C. [1 ]
机构
[1] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia
关键词
AUTOCORRELATED PROCESSES; OPTIMAL-DESIGN; CUSUM; PARAMETER; SHEWHART;
D O I
10.7166/23-3-510
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The exponentially weighted moving average (EWMA) (X) over bar chart is effective in detecting small shifts. However, the EWMA (X) over bar chart is not robust enough to prevent errors in estimating the process standard deviation or a changing standard deviation. To overcome this problem, Zhang et al. suggested the EWMA t chart in 2009. The existing optimal design of the EWMA t chart is based on the average run length (ARL) criterion. This paper proposes that the optimal design of the EWMA t chart be based on the median run length (MRL). The MRL performances of the optimal EWMA (X) over bar and optimal EWMA t charts are compared.
引用
收藏
页码:42 / 55
页数:14
相关论文
共 50 条
  • [41] Optimal design of synthetic np control chart based on median run length
    Lee, Ming Ha
    Khoo, Michael B. C.
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (17) : 8544 - 8556
  • [42] A new double EWMA-t chart with auxiliary information for the process mean
    Haq, Abdul
    Ejaz, Sana
    Lee, Ming Ha
    Khan, Manzoor
    QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2021, 37 (08) : 3381 - 3394
  • [43] A Study of the Performance of EWMA Chart with Transformed Weibull Observations
    Sukparungsee, Saowanit
    Areepong, Yupaporn
    THAILAND STATISTICIAN, 2009, 7 (02): : 179 - 191
  • [44] A generalized Conforming Run Length control chart for monitoring the mean of a variable
    Wu, Zhang
    Wang, Zhaojun
    Jiang, Wei
    COMPUTERS & INDUSTRIAL ENGINEERING, 2010, 59 (02) : 185 - 192
  • [45] Trend Autoregressive Model Exact Run Length Evaluation on a Two-Sided Extended EWMA Chart
    Karoon, Kotchaporn
    Areepong, Yupaporn
    Sukparungsee, Saowanit
    COMPUTER SYSTEMS SCIENCE AND ENGINEERING, 2023, 44 (02): : 1143 - 1160
  • [46] Exact Expression of Average Run Length of EWMA Chart for SARIMA (P,D,Q)(L) Procedure
    Paichit, Piyaphon
    Areepong, Yupaporn
    Sukparungsee, Saowanit
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2014, 52 (09): : 62 - 73
  • [47] A Markov Chain Approach for Average Run Length of EWMA and CUSUM Control Chart Based on ZINB Model
    Chananet, C.
    Areepong, Y.
    Sukparungsee, S.
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2015, 53 (01): : 126 - 137
  • [48] Optimal designs of multivariate synthetic |S| control chart based on median run length
    Lee, Ming Ha
    Khoo, Michael B. C.
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (06) : 3034 - 3053
  • [49] The Exact Run Length Distribution and Design of the Shewhart (X)over-bar Chart with Estimated Parameters Based on Median Run Length
    Teoh, W. L.
    Khoo, Michael B. C.
    Castagliola, Philippe
    Lee, M. H.
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2016, 45 (06) : 2081 - 2103
  • [50] Design of attribute EWMA type control charts with reliable run length performance
    Wu, Shu
    Castagliola, Philippe
    Rakitzis, Athanasios C.
    Maravelakis, Petros E.
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2023, 52 (09) : 4193 - 4209