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    Volume 49, Issue 2 (June 2019)

    On the Development of EWMA Control Chart for Inverse Maxwell Distribution

    (Received 23 July 2018; accepted 15 April 2019)

    Published Online: 14 June 2019

    CODEN: JTEVAB

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    Abstract

    Variations are usually present in every manufacturing process. Control charts are implemented to detect the assignable cause variations in a process. In this article, we design an exponentially weighted moving average (EWMA) chart under the assumption of inverse Maxwell distribution, namely inverse Maxwell EWMA (IMEWMA) chart. We have evaluated the performance of the proposed chart in terms of various run length (RL) properties, including average RL, standard deviation of RL, and median RL. To examine the overall functioning ability, we have estimated extra quadratic loss, relative average RL, and performance comparison index. We have also carried out comparative analysis of the proposed chart with the existing Shewhart-type chart for Maxwell distribution, V chart. We observed that the proposed IMEWMA chart performed better than the V chart to detect small and moderate shifts. The IMEWMA and the existing charts were applied to monitor the lifetime of car brake pads and survival time for breast cancer patients. This example also depicts the superiority of the proposed chart to its existing counterparts.

    Author Information:

    Arafat, Sheikh Y.
    Department of Statistics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj,

    Hossain, M. Pear
    Department of Statistics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj,

    School of Data Science, City University of Hong Kong, Kowloon,

    Ajadi, Jimoh Olawale
    Department of System Engineering and Engineering Management, City University of Hong Kong, Kowloon,

    Riaz, Muhammad
    Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran,


    Stock #: JTE20190082

    ISSN:0090-3973

    DOI: 10.1520/JTE20190082

    Author
    Title On the Development of EWMA Control Chart for Inverse Maxwell Distribution
    Symposium ,
    Committee D11