التوزيع الاحتمالي مارشال أولكين الأسي المعمم-ويبل : خصائص و تطبيق

Abstract EN

In this paper we propose a new continuous distribution called Probability Distribution (Marshall Olkin Exponential Generalized-Whipple) derived from the structure of the Marshall Olken Family and generalized exponential distribution with the inclusion of Whipple distribution in the resulting formula from the combination of the two methods.

Study the mathematical and statistical properties of this distribution such as; Survival function, quantile function, , hazard function, order statistics, normal and incomplete moments, moment generation function, probability weighted moments, entropy and shapes and study the expansion of the function to facilitate the process of finding the listed properties.

Use the greatest possible method in estimating the distribution parameters.

A set of real data is used to demonstrate the suitability and application of the new distribution.

For the purpose of comparison, we use different models to test the quality and suitability of distribution.