HYBRID DOUBLE EXPONENTIALLY WEIGHTED MOVING AVERAGE (HDEWMA) CONTROL CHART FOR INVERSE RAYLEIGH DISTRIBUTION

Authors

  • Abdul Wahab Qamar Department of Economics and Statistics, Dr Hasan Murad School of Management, University of Management and Technology, Lahore, Pakistan.
  • Najam ul Hassan Department of Economics, Thal University, Bhakkar
  • Maqbool Hussain Sial Department of Economics and Statistics, Dr Hasan Murad School of Management, University of Management and Technology, Lahore, Pakistan.

DOI:

https://doi.org/10.52567/pjsr.v5i02.1359

Abstract

In this paper, we proposed a Hybrid Double Exponentially Weighted Moving Average HDEWMA control chart. The proposed control chart is based on Inverse Rayleigh Distributed lifetimes using simple random sampling (SRS) and ranked set sampling (RSS). Out-of-control-Average Run Length (ARL1) is used to evaluate the performance of the proposed control chart. The HDEWMA control chart is compared with traditional/simple EWMA and CUSUM control charts. The performance of the control chart is evaluated using out of control average run length (ARL1). A simulated example is used to compare the proposed HDEWMA, traditional/simple EWMA chart and CUSUM control chart. It is observed that the proposed HDEWMA control chart performs simple EWMA and CUSUM control charts. The HDEWMA control chart can be used for efficient monitoring of the production process in manufacturing industries where the data is coming from inverse Rayleigh Distribution.
Keywords: Hybrid, EWMA, CUSUM, DEWMA, average run length (ARL).

Author Biographies

  • Abdul Wahab Qamar, Department of Economics and Statistics, Dr Hasan Murad School of Management, University of Management and Technology, Lahore, Pakistan.

     

     

  • Maqbool Hussain Sial, Department of Economics and Statistics, Dr Hasan Murad School of Management, University of Management and Technology, Lahore, Pakistan.

     

     

Additional Files

Published

2023-05-31

Issue

Vol. 5 No. 02 (2023): Pakistan Journal of Social Research (PJSR)

Section

Research Article

License

Copyright (c) 2023 Abdul Wahab Qamar, Najam ul Hassan, Maqbool Hussain Sial

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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How to Cite

[1]
“HYBRID DOUBLE EXPONENTIALLY WEIGHTED MOVING AVERAGE (HDEWMA) CONTROL CHART FOR INVERSE RAYLEIGH DISTRIBUTION”, Pak. J, Soc. Sci., vol. 5, no. 02, pp. 1337–1346, May 2023, doi: 10.52567/pjsr.v5i02.1359.