Homogeneously Weighted Moving Average Control Chart for Rayleigh Distribution

Mehwish Butt, Hafiza Farwa Amin, Javed Iqbal, Maqbool Hussain Sial, Najam-ul Hassan and Mueen-ud-Din Azad
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Mehwish Butt: Department of Economics and Statistics, Dr. Hasan Murad School of Management (HSM), University of Management and Technology Lahore, Pakistan
Hafiza Farwa Amin: Department of Statistics, Virtual University of Pakistan
Javed Iqbal: Department of Statistics, Virtual University of Pakistan
Maqbool Hussain Sial: Department of Economics and Statistics, Dr. Hasan Murad School of Management (HSM), University of Management and Technology Lahore, Pakistan
Najam-ul Hassan: Lecturer, Department of Economics, Bhakkar Campus, University of Sargodha, Pakistan
Mueen-ud-Din Azad: Department of Economics and Statistics, Dr. Hasan Murad School of Management (HSM), University of Management and Technology Lahore, Pakistan

Bulletin of Business and Economics (BBE), 2023, vol. 12, issue 3, 366-384

Abstract: In this paper we have proposed Homogeneously Weighted Moving Average (HWMA) control chart for Rayleigh distribution. The Average Run Length (ARL1) is used to evaluate the performance of the proposed HWMA control charts. The ARL1 performance of HWMA control chart is compared to the Exponentially weighted moving average (EWMA) control charts with respect to the different shift size (i.e. 10%, 15%, 20%, 30%, 40% increase and decrease in shift). The results are calculated using sample size n=5. It is observed that with the increase in shift proposed HWMA chart shows more efficient results i.e. ARL1 values decrease with the increase in shifts. It is found that the proposed HWMA chart for Rayleigh distribution outperforms the existing EWMA control chart.

Keywords: HWMA chart; Average Run Length; Rayleigh distribution; EWMA; Shifts (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:rfh:bbejor:v:12:y:2023:i:3:p:366-384

DOI: 10.61506/01.00043

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