اشتقاق دالة البقاء باستخدام توزيع القوى الأسي : دراسة تطبيقية

الملخص EN

The Survival function has an important and effective role in many sciences because of its great importance in studying time and the probability of survival of a living organism after a specified period of time (t) in addition to its primary role in analyzing most phenomena based on the data and information available about the phenomenon.

Therefore, many researchers have resorted to research in this area, where they study and analyze the survival function.

The present research included the deriving of the survival function using the exponential power distribution, two methods are used to estimate the parameters of the distribution and parameters estimation is demonstrsded by two approachs maximum lilklihood and trimmed linear moments which is used for the first time in estimating the parameters.

To achieve this objective, we used two different groups of data sets: the first group is data of covaid-19 deaths in Egypt and the second group is data of some premature death cases of people insured with Misr life insurance company.

This study demonstrated the compatibility, flexbility and occuracy of the exponential power distribution with the data used.

It has also been concluded that the trimmed linear moments is better in estimating than the maximum liklihood method through using: P-value- Anderson Darling test- Cramér –Von Mises test (p-value - A* - W*).