Homogeneously Weighted Moving Average Control Chart for Rayleigh Distribution

Authors

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

DOI:

https://doi.org/10.61506/01.00043

Keywords:

HWMA chart, Average Run Length, Rayleigh distribution, EWMA, Shifts

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. 

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Published

2023-10-20

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Section

Articles

How to Cite

Butt, M. ., Amin, H. F. ., Iqbal, J. ., Sial, M. H. ., Hassan, N.- ul ., & Azad, M.- ud-D. (2023). Homogeneously Weighted Moving Average Control Chart for Rayleigh Distribution. Bulletin of Business and Economics (BBE), 12(3), 366-384. https://doi.org/10.61506/01.00043

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