TITLE:
The Marshall-Olkin Right Truncated Fréchet-Inverted Weibull Distribution: Its Properties and Applications
AUTHORS:
Nora Nader, M. A. El-Damcese, B. S. El-Desouky
KEYWORDS:
Marshall and Olkin, Moment Generating Function, Density Function, Order Statistics, Reliability Function, Inverse Weibull Distribution, Maximum Likelihood
JOURNAL NAME:
Open Journal of Modelling and Simulation,
Vol.9 No.1,
January
27,
2021
ABSTRACT: 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.