A New Version of the Inverse Weibull Model with Properties, Applications and Different Methods of Estimation

  • Mohamed Ibrahim Department of Quantitative Methods, School of Business, King Faisal University, Saudi Arabia
  • S. I. Ansari Department of Business Administration, Azad institute of Engineering and Technology, Lucknow, India
  • Abdullah H. Al-Nefaie Department of Quantitative Methods, School of Business, King Faisal University, Saudi Arabia
  • Haitham M. Yousof Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Benha University, Egypt
DOI: https://doi.org/10.19139/soic-2310-5070-1658
Keywords: Zero Truncated Poisson Distribution; Inverse Weibull Distribution; Maximum Likelihood; Bootstrapping Estimation; Kolmogorov Estimation; Modeling.

Abstract

A new extension of the inverse Weibull model is introduced and studied. Some of its statistical properties are derived. Di¤erent estimation methods are used for estimating the unknown parameter. We assessed the performance of all methods via simulation study. Two real data applications are used for comparing competitive estimation methods. The importance of the new model is demonstrated via two real data applications. The new model is much better than other competitive models in modeling the two real data sets.
Published
2025-02-08
How to Cite
Ibrahim, M., Ansari, S. I., Al-Nefaie, A. H., & Yousof, H. M. (2025). A New Version of the Inverse Weibull Model with Properties, Applications and Different Methods of Estimation. Statistics, Optimization & Information Computing, 13(3), 1120-1143. https://doi.org/10.19139/soic-2310-5070-1658
Issue
Vol 13 No 3 (2025)
Section
Research Articles
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