A New Class of Models with Bathtub Shaped Hazard Rate Functions
Keywords:
Alpha power transformation, residual life function, reliability model, hazard rate function, quantile function, moment generating functionAbstract
In the present research, we compound the alpha power transformation distribution with the power
series distribution to create a novel distribution known as the alpha power transformed-G Power Series (APT-GPS) distribution. The APT-GPS distribution’s statistical characteristics are discovered. The density and hazard rate life plots are shown in a range of forms using a Weibull baseline distribution. Additionally, a simulation study is carried out to evaluate the effectiveness of the maximum likelihood estimates. Lastly, some samples of bladder cancer data and United Kingdom (UK) Covid-19 data are evaluated for illustrative purposes. The results show that, in comparison to other non-nested distributions taken into consideration in this article, the proposed distribution offers a better fit as it exhibits the lowest goodness of fit statistics values and the highest accuracy rate on both data sets.
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