Abstract:
In this paper, we propose a flexible family called the exponentiated alpha-power-G
(EAP-G) family. The benefits of the proposed family include its analytical simplicity and
its ability to confer flexibility to the baseline distributions in survival analysis. Based on
the proposed approach, a three-parameter extension of the exponential distribution called
the exponentiated alpha-power exponential (EAPE) distribution is studied in detail.
Maximum likelihood is used to estimate the EAPE parameters, and its performance is
evaluated via a simulation study. Furthermore, two real-world survival data are used to
demonstrate the applicability and examine the flexibility of the proposed distribution. The
EAPE distribution is compared to other competing generalizations of the exponential
distribution. The real data analysis shows that the proposed model performed better among
the competitors and could potentially be very adequate in describing and modeling a wide
range of survival data.
