التوزيع الأسي الاحتمالي (توب ليون مارشال اولكن TLMOE)‎ خصائص و تطبيق

Abstract EN

We introduce in this paper a new generalized distribution for the distribution family Topp Leone Marshall Olkin-G family under named Topp Leone Marshall Olkin Exponential distribution (TLMOE).

This new distribution has three parameter and it has very flexibility for fitting many different datasets.

A new distribution give flexibility shapes the probability density function as shape symmetrical or reversed or right- skewed.

The hazard function can be given to the shape of a monolithic model (increasing or decreasing) and exponential.

The probability density function was expanded and some mathematical and statistical characteristics were found including the quntial function, the normal moment, the generating function of the Entropy.

the parameters of the distribution were estimated by the Maximum likelihood method.

To demonstrate the flexibility and new scalability of the data, this distribution was applied to real medical data on breast cancer from a hospital, where the new distribution demonstrated a high correlation with real data compared with some known distributions.