Identifying the time of step change in process parameter for Maxwell distribution

被引:1
|
作者
Kapase, Rupali A. [1 ]
Ghute, Vikas B. [1 ,2 ]
机构
[1] Punyashlok Ahilyadevi Holkar Solapur Univ, Dept Stat, Solapur, India
[2] Punyashlok Ahilyadevi Holkar Solapur Univ, Dept Stat, Solapur 413255, Maharashtra, India
关键词
Change point estimation; V control chart; Maxwell distribution; Maximum likelihood estimation (MLE); average run length; CHANGE-POINT; CONTROL CHART; PERIOD;
D O I
10.1080/00949655.2023.2294949
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Due to the quick identification of the root causes for an out-of-control process, the estimation of exact time of a process change would be helpful thing for the process improvement. In contrast to the typical normal assumption, this study realizes that a process may follow a skewed Maxwell distribution. In this paper, using maximum likelihood estimation, a considerably efficient change point model is proposed for V control chart which underlying distribution is Maxwell distribution. The required chart statistics are calculated with its distributional properties. The proposed method is used when V control chart signals a change in a process parameter. The proposed method, when used with V control chart would be helpful for process engineers both in controlling and identifying a permanent step change in a process scale parameter. An illustrative example is given to understand the use of the proposed method.
引用
收藏
页码:1631 / 1644
页数:14
相关论文
共 50 条
  • [31] The Next Step Change in Process Safety
    Soignier, Andrew
    Summers, Angela
    Williams, Mike K.
    CHEMICAL ENGINEERING, 2014, 121 (10) : 57 - 62
  • [32] THE ELECTROSTATIC PROCESS - A STEP AT A TIME
    SANDERS, B
    WOOD & WOOD PRODUCTS, 1983, 88 (11): : 50 - &
  • [33] Parameter estimation for vehicle departure time distribution in process of dynamic OD flow loading
    Lin, Yong
    Li, Shu-Bin
    Jiang, Zhu
    Journal of Beijing Institute of Technology (English Edition), 2012, 21 (SUPPL.2): : 252 - 256
  • [34] Design for change: One step at a time
    Dalcher, Darren
    Software Process Improvement and Practice, 2007, 12 (01): : 1 - 2
  • [35] Fuzzy maximum likelihood change-point algorithms for identifying the time of shifts in process data
    Kang-Ping Lu
    Shao-Tung Chang
    Neural Computing and Applications, 2019, 31 : 2431 - 2446
  • [36] Fuzzy maximum likelihood change-point algorithms for identifying the time of shifts in process data
    Lu, Kang-Ping
    Chang, Shao-Tung
    NEURAL COMPUTING & APPLICATIONS, 2019, 31 (07): : 2431 - 2446
  • [37] Convenient parameter estimation approaches for process control systems with time-delay via step responses
    Xu, Ling
    Ding, Feng
    PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020), 2020, : 2185 - 2190
  • [38] Identifying the Period of a Step Change in High-Yield Processes
    Noorossana, Rassoul
    Saghaei, Abbas
    Paynabar, Kamran
    Abdi, Sara
    QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2009, 25 (07) : 875 - 883
  • [39] Every Step You Change: A Process of Change and Ongoing Management
    Matesic, Gina D.
    JOURNAL OF LIBRARY ADMINISTRATION, 2009, 49 (1-2) : 35 - 49
  • [40] Identification of density distribution with time parameter
    Tsuji, M
    RECENT DEVELOPMENTS IN COMPLEX ANALYSIS AND COMPUTER ALGEBRA, 1999, 4 : 311 - 322