TITLE:
Power Hamza Distribution with Application to Lifetime Data
AUTHORS:
Samuel U. Enogwe, Chike H. Nwankwo, Eric U. Oti
KEYWORDS:
Hamza Distribution, Hazard Rate Function, Conditional Moments, Stochastic Ordering, Maximum Likelihood Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.1,
January
11,
2022
ABSTRACT: In this paper, a three-parameter lifetime distribution named power Hamza distribution (PH) is proposed. The PH distribution is a useful generalization of the Hamza distribution which accommodates heavy-tailed, upside-down bathtub and J-shaped hazard rates making it more flexible than the Hamza distribution for modelling various kinds of lifetime data. A comprehensive account of the properties of this distribution is presented. The maximum likelihood estimators of the unknown model parameters are discussed. Finally, a real-life data is analyzed for illustrative purpose proving that the PH outperforms the Hamza distribution and several other lifetime distributions.