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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 10 > No. 1


Extended Odd Weibull Inverse Rayleigh Distribution with Application on Carbon Fibres

PP: 5-14
Ehab M. Almetwally,
The aim of this paper is to introduce a new suitable distribution for modeling the carbon fibers data. A new distribution is a combination of the inverse Rayleigh distribution and the extended odd Weibull family to formulate the extended odd Weibull inverse Rayleigh (EOWIR) distribution with three parameters. A simple linear representation, hazard rate function, and moment generating function have been obtained of EOWIR distribution. To estimate the unknown parameters of the distribution of EOWIR, maximum probability, maximum product spacing, and Bayesian estimation methods are applied. For the Bayesian approximation, the MCMC approach is used under the square error loss function. To evaluate the use of estimation methods, a numerical result from the Monte Carlo simulation is obtained.

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