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Alpha Power Generalized Inverse Rayleigh Distribution: Its Properties and Applications

Author

Listed:
  • Muhammad Ali
  • Alamgir Khalil
  • Zahra Almaspoor
  • Sundus Hussain
  • Umair Khalil
  • M. El-Morshedy
  • Tahir Mehmood

Abstract

This manuscript is related with the development of Alpha Power Generalized Inverse Rayleigh (APGIR) Distribution. The suggested model provides fit of life time data more efficiently. Some of the important characteristics of the suggested model are obtained including moments, moment generating function, quantile, mode, order statistics, stress-strength parameter, and entropies. Parameter estimates are obtained by MLE technique. The performance of the suggested model is evaluated using real-world data sets. The findings of the simulation and real data sets suggest that the newly proposed model is superior to other current competitor models.

Suggested Citation

  • Muhammad Ali & Alamgir Khalil & Zahra Almaspoor & Sundus Hussain & Umair Khalil & M. El-Morshedy & Tahir Mehmood, 2022. "Alpha Power Generalized Inverse Rayleigh Distribution: Its Properties and Applications," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-18, June.
    • Handle: RePEc:hin:jnlmpe:7847110
    DOI: 10.1155/2022/7847110
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