Author(s)

Nora Nader¹, M. A. El-Damcese², B. S. El-Desouky¹

¹Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt.
²Department of Mathematies, Faculty of Science, Tanta University, Tanta, Egypt.

In this paper, a new probability distribution is proposed by using Marshall and Olkin transformation. Some of its properties such as moments, moment generating function, order statistics and reliability functions are derived. The method of maximum likelihood is used to estimate the model parameters. The graphs of the reliability function and hazard rate function are plotted by taken some values of the parameters. Three real life applications are introduced to compare the behaviour of the new distribution with other distributions.

Marshall and Olkin, Moment Generating Function, Density Function, Order Statistics, Reliability Function, Inverse Weibull Distribution, Maximum Likelihood

Nader, N. , El-Damcese, M. and El-Desouky, B. (2021) The Marshall-Olkin Right Truncated Fréchet-Inverted Weibull Distribution: Its Properties and Applications. Open Journal of Modelling and Simulation, 9, 74-89. doi: 10.4236/ojmsi.2021.91005.