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

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

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 li...

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Bibliographic Details
Main Authors: Muhammad Riaz, Saddam Akber Abbasi, Muhammad Abid, Abdulhammed K. Hamzat
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Mathematics
Subjects:
average run length
EWMA
HWMA
processes dispersion
small shifts
Online Access:https://www.mdpi.com/2227-7390/8/12/2136
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spelling doaj-8c63885d1e8a42e783686c2a152be3a92020-12-02T22:51:32ZengMDPI AGMathematics2227-73902020-12-0182136213610.3390/math8122136A New HWMA Dispersion Control Chart with an Application to Wind Farm DataMuhammad Riaz0Saddam Akber Abbasi1Muhammad Abid2Abdulhammed K. Hamzat3Department of Mathematics & Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics, Statistics and Physics, Qatar University, Doha 2713, QatarDepartment of Statistics, Government College University Faisalabad, Punjab 38000, PakistanDepartment of Mechanical Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaRecently, 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.https://www.mdpi.com/2227-7390/8/12/2136average run lengthEWMAHWMAprocesses dispersionsmall shifts
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Riaz
Saddam Akber Abbasi
Muhammad Abid
Abdulhammed K. Hamzat
spellingShingle Muhammad Riaz
Saddam Akber Abbasi
Muhammad Abid
Abdulhammed K. Hamzat
A New HWMA Dispersion Control Chart with an Application to Wind Farm Data
Mathematics
average run length
EWMA
HWMA
processes dispersion
small shifts
author_facet Muhammad Riaz
Saddam Akber Abbasi
Muhammad Abid
Abdulhammed K. Hamzat
author_sort Muhammad Riaz
title A New HWMA Dispersion Control Chart with an Application to Wind Farm Data
title_short A New HWMA Dispersion Control Chart with an Application to Wind Farm Data
title_full A New HWMA Dispersion Control Chart with an Application to Wind Farm Data
title_fullStr A New HWMA Dispersion Control Chart with an Application to Wind Farm Data
title_full_unstemmed A New HWMA Dispersion Control Chart with an Application to Wind Farm Data
title_sort new hwma dispersion control chart with an application to wind farm data
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-12-01
description 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.
topic average run length
EWMA
HWMA
processes dispersion
small shifts
url https://www.mdpi.com/2227-7390/8/12/2136
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