MONITORING INVERSE RAYLEIGH DISTRIBUTED LIFETIMES USING DEWMA CONTROL CHART

Authors

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

DOI:

https://doi.org/10.52567/pjsr.v4i03.1294

Abstract

In this paper, we proposed a Double Exponentially Weighted Moving Average DEWMA control chart. The proposed control chart is based on Inverse Rayleigh Distributed lifetimes using simple random sampling. Out-of-control-Average Run Length (ARL1) is used to evaluate the performance of the proposed control chart. The DEWMA control chart is compared with traditional/simple EWMA and CUSUM control charts. A simulated example is used to compare the proposed DEWMA, traditional/simple EWMA chart control chart. It is observed that the proposed DEWMA control chart performs simple EWMA control charts. The DEWMA 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:  EWMA, CUSUM, DEWMA, average run length (ARL).

 

Author Biography

  • Najam ul Hassan, Department of Economics, Thal University, Bhakkar Pakistan.

     

     

     

Additional Files

Published

2022-03-31

Issue

Vol. 4 No. 03 (2022): Pakistan Journal of Social Research PJSR

Section

Research Article

License

Copyright (c) 2022 Najam ul Hassan, Maqbool Hussain Sial, Javed Iqbal

Creative Commons License

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

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How to Cite

[1]
“MONITORING INVERSE RAYLEIGH DISTRIBUTED LIFETIMES USING DEWMA CONTROL CHART”, Pak. J, Soc. Sci., vol. 4, no. 03, pp. 1143–1150, Mar. 2022, doi: 10.52567/pjsr.v4i03.1294.