A Note on Transmuted Exponentiated Inverse Exponential Distribution and Application to Breast Cancer Data

  • O. I. Oseghale
  • V. E. Laoye
Keywords: TEIE, QRTM, Reliability Function, Hazard Rate Function, Maximum Likelihood

Abstract

The Transmuted Exponentiated Inverse Exponential (TEIE) Distribution has been derived using Exponentiated Inverse Exponential (EIE) distribution and the Quadratic Rank Transmutation Map (QRTM). The developed distribution is more flexible and adaptable in modeling data exhibiting different shapes of the hazard function than its sub-models. The mathematical expressions and shapes of the distribution function, probability density function, hazard rate function, and reliability function are studied. The parameters of the TEIE distribution are estimated by the method of maximum likelihood. Finally, the TEIE distribution is applied to breast cancer data set and found to have a better fit than the Transmuted Inverse Exponential (TIE) distribution and the Inverse Exponential (IE) distribution.

 

Published
2025-08-13
How to Cite
Oseghale, O. I., & Laoye, V. E. (2025). A Note on Transmuted Exponentiated Inverse Exponential Distribution and Application to Breast Cancer Data. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 11(2), 45 - 54. Retrieved from https://ijmso.unilag.edu.ng/article/view/2700
Issue
Vol 11 No 2 (2025)
Section
Articles

Copyright (c) 2025 Author

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