%0 Journal Article
%T The Marshall-Olkin Right Truncated Fr&eacutechet-Inverted Weibull Distribution: Its Properties and Applications
%A Nora Nader
%A M. A. El-Damcese
%A B. S. El-Desouky
%J Open Journal of Modelling and Simulation
%P 74-89
%@ 2327-4026
%D 2021
%I Scientific Research Publishing
%R 10.4236/ojmsi.2021.91005
%X 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 </span><span style=\"font-family:Verdana;\">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.
%K Marshall and Olkin
%K Moment Generating Function
%K Density Function
%K Order Statistics
%K Reliability Function
%K Inverse Weibull Distribution
%K Maximum Likelihood
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=106794