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Weibull-Exponential Distribution and Its Application in Monitoring Industrial Process

Author

Listed:
  • Muhammad Bilal
  • Muhammad Mohsin
  • Muhammad Aslam
  • Hussein Abulkasim

Abstract

This paper presents a new Weibull family of distributions. The compatibility of the newly developed class is justified through its application in the field of quality control using Weibull-exponential distribution, a special case of the proposed family. In this paper, an attribute control chart using Weibull-exponential distribution is developed. The estimations of the model parameters and the proposed chart parameters are performed through the methods of maximum likelihood and average run-length. The significance of the proposed model is demonstrated using a simulation study and real-life problems. The results of the monitoring process and quick detection are compared with exponential distribution.

Suggested Citation

  • Muhammad Bilal & Muhammad Mohsin & Muhammad Aslam & Hussein Abulkasim, 2021. "Weibull-Exponential Distribution and Its Application in Monitoring Industrial Process," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, March.
    • Handle: RePEc:hin:jnlmpe:6650237
    DOI: 10.1155/2021/6650237
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    Cited by:

    1. Ahmad Abubakar Suleiman & Hanita Daud & Narinderjit Singh Sawaran Singh & Aliyu Ismail Ishaq & Mahmod Othman, 2023. "A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate," Data, MDPI, vol. 8(9), pages 1-24, September.
    2. Jing Jia Zhou & Kok Haur Ng & Kooi Huat Ng & Shelton Peiris & You Beng Koh, 2022. "Asymmetric Control Limits for Weighted-Variance Mean Control Chart with Different Scale Estimators under Weibull Distributed Process," Mathematics, MDPI, vol. 10(22), pages 1-15, November.

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