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Wolfowitz, J. (1949) Non-Parametric Statistical Inference. In: Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, 93-113.

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• 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.