Galoitica: Journal of Mathematical Structures and Applications
GJMSA
2834-5568
10.54216/GJSMA
https://www.americaspg.com/journals/show/2088
2022
2022
Hybrid Alpha Power Marshall Olkin G Class of Distributions
Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria
Fatimah
Taher
Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria.
Mohamed Bisher
Zeina
Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria.
Moustafa Mazhar
Ranneh
This research presents a new class of probability distributions derived as a hybrid class between alpha power transformation class and Marshall Olkin G class and we call it the hybrid alpha power Marshall Olkin G class of distributions (HAPMOG). Characteristics properties of this new class were derived including moments, moments generating function, characteristic function, reliability and hazard functions, and its probability density function was presented in linear combination. Also, many generated distributions depending on this new class was presented and well-studied including HAPMOG-Exponential, HAPMOG-Weibull, HAPMOG-Freshet. This new class of distributions helps in modelling new forms of data, which has important applications in engineering, communication systems, networks modeling, etc.
2023
2023
20
33
10.54216/GJMSA.080102
https://www.americaspg.com/articleinfo/33/show/2088