Comparison of Estimation Methods of the Power Generalized Weibull Distribution

Authors

  • Sanku Dey St. Anthony’s College, Shillong, India
  • Mazen Nassar King Abdulaziz University, Saudi Arabia
  • Sajid Ali Quaid-i-Azam University, Islamabad 45320, Pakistan
  • Devendra Kumar University of Delhi, India https://orcid.org/0000-0001-5831-3315
  • Enayetur Raheem University of Northern Colorado, Greeley, CO, USA

DOI:

https://doi.org/10.6092/issn.1973-2201/12924

Keywords:

Power Generalized Weibull distribution, maximum product of spacings estimators, percentile estimators, Order Statistics

Abstract

This article aims to discuss different estimation methods for the power generalized Weibull distribution. An extensive simulation study is carried out to assess the effectiveness of the estimation of model parameters using numerous well known classical methods of estimation. Furthermore, the Bayes estimators of the unknown parameters are also obtained under different loss functions. Monte Carlo simulations are used to assess the performances of the proposed estimators. Besides, bootstrap/ credible intervals are obtained based on considered methods of estimation. Finally, the potentiality of the distribution is illustrated by means of re-analyzing one real data set.

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Published

2024-02-29

How to Cite

Dey, S., Nassar, M., Ali, S., Kumar, D., & Raheem, E. (2024). Comparison of Estimation Methods of the Power Generalized Weibull Distribution. Statistica, 82(4), 339–372. https://doi.org/10.6092/issn.1973-2201/12924

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