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

Muhammad Riaz, Saddam Akber Abbasi, Muhammad Abid and Abdulhammed K. Hamzat
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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

Mathematics, 2020, vol. 8, issue 12, 1-14

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.

Keywords: average run length; EWMA; HWMA; processes dispersion; small shifts (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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