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A New HWMA Dispersion Control Chart with an Application to Wind Farm Data

Author

Listed:
  • Muhammad Riaz

    (Department of Mathematics & Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia)

  • Saddam Akber Abbasi

    (Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar)

  • Muhammad Abid

    (Department of Statistics, Government College University Faisalabad, Punjab 38000, Pakistan)

  • Abdulhammed K. Hamzat

    (Department of Mechanical Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia)

Abstract

Recently, a homogeneously weighted moving average (HWMA) chart has been suggested for the efficient detection of small shifts in the process mean. In this study, we have proposed a new one-sided HWMA chart to effectively detect small changes in the process dispersion. The run-length (RL) profiles like the average RL, the standard deviation RL, and the median RL are used as the performance measures. The RL profile comparisons indicate that the proposed chart has a better performance than its existing counterpart’s charts for detecting small shifts in the process dispersion. An application related to the Dhahran wind farm data is also part of this study.

Suggested Citation

  • Muhammad Riaz & Saddam Akber Abbasi & Muhammad Abid & Abdulhammed K. Hamzat, 2020. "A New HWMA Dispersion Control Chart with an Application to Wind Farm Data," Mathematics, MDPI, vol. 8(12), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2136-:d:454351
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    References listed on IDEAS

    as
    1. Huwang, Longcheen & Huang, Chun-Jung & Wang, Yi-Hua Tina, 2010. "New EWMA control charts for monitoring process dispersion," Computational Statistics & Data Analysis, Elsevier, vol. 54(10), pages 2328-2342, October.
    2. Shaahid, S.M. & Elhadidy, M.A., 1994. "Wind and solar energy at Dhahran, Saudi Arabia," Renewable Energy, Elsevier, vol. 4(4), pages 441-445.
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