Benha University

أحمد زكريا محمد عفيفى

أستاذ مساعد

كلية التجارة الاحصاءات والرياضيات والتأمينات

Type II exponentiated half logistic generated family of distributions with applications.

Electronic Journal of Applied Statistical Analysis • 2020
العودة
معلومات البحث
المؤلفون Al-Mofleh, H., Elgarhy, M., Afify A. Z. and Zannon, M.
الكلمات المفتاحية Not Available
المجلة العلمية Electronic Journal of Applied Statistical Analysis
الناشر Not Available
المجلد 13
العدد Not Available
الصفحات 536-561
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.
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