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Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring

Author

Listed:
  • Ehab M. Almetwally
  • Mohamed A. H. Sabry
  • Randa Alharbi
  • Dalia Alnagar
  • Sh. A. M. Mubarak
  • E. H. Hafez
  • Ahmed Mostafa Khalil

Abstract

This paper introduces the new novel four-parameter Weibull distribution named as the Marshall–Olkin alpha power Weibull (MOAPW) distribution. Some statistical properties of the distribution are examined. Based on Type-I censored and Type-II censored samples, maximum likelihood estimation (MLE), maximum product spacing (MPS), and Bayesian estimation for the MOAPW distribution parameters are discussed. Numerical analysis using real data sets and Monte Carlo simulation are accomplished to compare various estimation methods. This novel model’s supremacy upon some famous distributions is explained using two real data sets and it is shown that the MOAPW model can achieve better fits than other competitive distributions.

Suggested Citation

  • Ehab M. Almetwally & Mohamed A. H. Sabry & Randa Alharbi & Dalia Alnagar & Sh. A. M. Mubarak & E. H. Hafez & Ahmed Mostafa Khalil, 2021. "Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring," Complexity, Hindawi, vol. 2021, pages 1-18, March.
    • Handle: RePEc:hin:complx:5533799
    DOI: 10.1155/2021/5533799
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    Cited by:

    1. Shikhar Tyagi, 2024. "On bivariate Teissier model using Copula: dependence properties, and case studies," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(6), pages 2483-2499, June.

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