Discretized Fréchet–Weibull Distribution: Properties and Application

In this paper a discrete version of Fréchet–Weibull distribution, named as Discretized Fréchet–Weibull distribution has been derived by using the survival function approach of discretization. It has been shown that the distribution is unimodal and right skewed. Depending upon the choice of the parameter, this model can have decreasing and up-side down bathtub shaped hazard rate functions. Various statistical properties of the proposed distribution are obtained. Estimation of parameters by the method of maximum likelihood estimation has been presented. Finally, the proposed model has been applied to five real life datasets from diverse application area namely tensile strength of rubber, SO 2 content in air pollution, points scored in English League One, the number of deaths per day due to COVID-19 infection in Saudi Arabia and lengths of remission times of leukemia patients. Also, to show its efficacy it is being compared with five other competitive well-known lifetime distributions.