Author(s)

Samuel U. Enogwe^1*, Chike H. Nwankwo², Eric U. Oti³

¹Department of Statistics, Michael Okpara University of Agriculture, Umudike, Nigeria.
²Department of Statistics, Nnamdi Azikiwe University, Awka, Nigeria.
³Department of Statistics, Federal Polytechnic, Ekowe, Nigeria.

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.

Hamza Distribution, Hazard Rate Function, Conditional Moments, Stochastic Ordering, Maximum Likelihood Method

Enogwe, S. , Nwankwo, C. and Oti, E. (2022) Power Hamza Distribution with Application to Lifetime Data. Journal of Applied Mathematics and Physics, 10, 31-48. doi: 10.4236/jamp.2022.101004.