A new [0, 1] truncated inverse Weibull rayleigh distribution properties with application to COVID-19

Document Type : Research Paper


1 Department of Mathematics, Faculty of Computer and Mathematical Sciences, Tikrit University, Tikrit, Iraq.

2 Department of Public Administration, Department of Public Administration, Tikrit University, Tikrit, Iraq.


In this paper, we introduce a new 2- parameters family of distributions named [0,1] Truncated Inverse Weibull - $G$  family ([0,1] TIW-G) family, to generate new types of continues distributions. A special model namely, [0,1] Truncated Inverse Weibull Rayleigh distribution ([0,1] TIWR) distribution is considered and defined and some of the statistical properties are derived. Parameter's estimations using MLE method is provided and a simulation is given to determine the accuracy of the method used above. To demonstrate the utility of the distribution in nowday's applications, we explore and investigate the death rates of  COVID-19  in Iraq in the period from 14 December 2020 to 30 April 2021.