The new distribution (Topp Leone Marshall Olkin-Weibull) properties with an application

Abstract

The few standard probability distributions available are insufficient for modelling naturally occurring events. Most especially, normal distribution is not ideal for modelling asymmetrical data. Generalizing a new distribution is an important area in probability theory. It is known that we can improve the performance of the distributions by adding a new parameters. So, in this paper, we introduce Topp Leone Marshall Olkin-Weibull distribution as new method with four parameters based on recently proposed family (Topp Leone Marshall-Olkin of distributions). Accordingly, mathematical properties such as quantile function, moments generating functions, entropy, and order statistics have been investigated. The estimation of four parameters by maximum likelihood method was implemented. Application for real data based on the proposed method can be employed to show the best fitting as compared with the other models.