توزيع مارشال اولكن توب ليون و يبل المرن : خصائص مع تطبيق

الملخص EN

This paper introduces the Marshall-Olkin Topp Leone Flexible Weibull distribution as an extension of the flexible Weibull distribution.

Its numerous statistical properties are established including the quintal function, moments, the generating function, order statistics and obtained while the unknown model parameters are estimation by using the method of maximum likelihood estimating.

Simulation studies were also conducted and the behaviour of the Marshall-Olkin Topp Leone flexible Weibull parameters were investigated.

The application of Marshall-Olkin Topp Leone Flexible Weibull distribution is illustrated by making use of real engineering data for strength and stress for 63 samples, this is done to demonstrate its potentials over some other important distributions like the Beta Flexible Weibull, Kumaraswamy Flexible Weibull, Exponentiated Generalized Flexible Weibull, Weibull Flexible Weibull, and Flexible Weibull, distributions.

It shows the new distribution very fit for the dataset compared with others known distributions.

Based on statistical standards, one of these criteria is the: - Akaike information criterion (AIC).

- Corrected Akaike information criterion (CAIC).

- Bayesian information criterion (BIC).

- Hannan- Quinn information criterion (HQIC).