Research Article Open Access

A New Inverse Weibull Distribution: Properties and Applications

  • Mona Mustafa Elbiely Damanhur University, Egypt
  • Haitham M. Yousof Benha University, Egypt

Journal of Mathematics and Statistics
Volume 15 No. 1, 2019, 30-43


In this work, we introduce a new flexible extension of the Inverse Weibull distribution. Some important mathematical properties of the proposed model are derived along with a numerical analysis of mean, variance, skewness and kurtosis measures of the proposed model. The performance of the maximum likelihood method is assesses via a comprehensive simulation studies in terms of mean squared errors. The new model is better than some other important competitive extensions of the Inverse Weibull in modeling the breaking stress data, the glass fibers data and the relief time data. Some plots are given to illustrate the suitability of the new model to fit the used data sets.

How to Cite

Elbiely, M. M. & Yousof, H. M. (2019). A New Inverse Weibull Distribution: Properties and Applications. Journal of Mathematics and Statistics, 15(1), 30-43.



  • Inverse Weibull Distribution
  • Extreme Values
  • Moments
  • Estimation