أحمد زكريا محمد عفيفى
أستاذ مساعد
The flexible Fréchet distribution: properties, inference, and medical applications.
Journal of Mathematics • 2024
معلومات البحث
المؤلفون
Afify, A. Z., Hussein, A.E., Al-Mofleh, H.,Alsultan, R. and Aljohani, H. M.
الكلمات المفتاحية
Not Available
المجلة العلمية
Journal of Mathematics
الناشر
Not Available
المجلد
2024
العدد
Not Available
الصفحات
2600560
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
This paper introduces the Marshall–Olkin Weibull–Fréchet (MOWFr) distribution, a modified form of the Fréchet model that demonstrates improved fitting capabilities compared to established generalizations. We present key properties of the MOWFr distribution, noting that its density function can be symmetric, right-skewed, or unimodal. The failure rate can exhibit monotonically increasing, J-shaped, and modified bathtub patterns, making it a flexible tool for analyzing real-life data across various fields. We briefly describe several frequentist approaches for estimating the MOWFr parameters and evaluate their performance through simulation studies, ranked by partial and overall effectiveness for small and large samples. The results indicate that maximum likelihood estimation is the most effective method for parameter estimation. Finally, we illustrate the practical applicability of the MOWFr distribution by modeling two real-life medical datasets.
