A Study of New Continuous Univariate Weibull Model with Empirical Illustrations

  • Hafiz Muhammad Kashif Rasheed Department of Statistics, The Islamia University of Bahawalpur, Pakistan
  • Sajid Hussain Department of Statistics, The Islamia University of Bahawalpur, Pakistan
  • Shafqat Ali Department of Mathematics, The Islamia University of Bahawalpur, Pakistan
  • Muhammad Asghar Department of Statistics, The Islamia University of Bahawalpur, Pakistan
  • Shazia Bibi Department of Statistics, The Islamia University of Bahawalpur, Pakistan
  • Abid Khan Department of Statistics, The Islamia University of Bahawalpur, Pakistan
DOI: https://doi.org/10.32350/sir.84.01
Keywords: Asghar, Bibi, Khan, alpha, empirical, exponentiated, extreme, hazard, likelihood, runoff, simulation, Weibull

Abstract

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The theory of probability distribution is used for mathematical modeling in various research areas. It makes those models flexible that are used to quantify uncertainties and risks in extreme events. This is also important for decision-making. This study proposes a new model labeled as ‘exponentiated alpha Weibull (EAW)’. The densities and reliability functions of EAW are also depicted graphically. Various statistical properties of the proposed model are explored. For estimation, the maximum likelihood (ML) method is applied. Simulation study is also performed. To check model performance, the proposed model is compared with other competitive models (CMs) for water runoff data.

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Published
2024-12-15
How to Cite
1.
Rasheed HMK, Hussain S, Ali S, Asghar M, Bibi S, Khan A. A Study of New Continuous Univariate Weibull Model with Empirical Illustrations. Sci Inquiry Rev. [Internet]. 2024Dec.15 [cited 2025Jan.21];8(4):1-35. Available from: https://journals.umt.edu.pk/index.php/SIR/article/view/5643
Issue
Vol 8 No 4: December 2024
Section
Orignal Article

Copyright (c) 2024 Hafiz Muhammad Kashif Rasheed, Sajid Hussain, Shafqat Ali, Muhammad Asghar, Shazia Bibi, Abid Khan

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