Inverse Hamza Distribution: Properties and Applications to Lifetime Data

In this paper, a new distribution, named ‘the Inverted Hamza distribution’, was introduced. It is an extension of the distribution that can model real-world data with upside-down bathtub shape and heavy tails. Mathematical statistical characteristics such as quantile function, moments, entropy measure, stochastic ordering order statistics have been derived. Furthermore, dependability measures survival function hazard developed. The greatest likelihood technique used to estimate parameters. To demonstrate applicability numerical example given. According on results, proposed outperformed competing distributions.