The Topp–Leone Lomax (TLLo) Distribution with Applications to Airbone Communication Transceiver Dataset

The Lomax distribution was extended in this paper using the Topp–Leone family of distributions. Some of its specific structural properties were established and the model parameters were estimated using maximum likelihood estimation method. The usefulness of the Topp–Leone Lomax distribution was demonstrated using an airbone communication transceiver dataset and comparison were made with respect to the Topp–Leone Burr XII, Topp–Leone Flexible Weibull and Lomax distributions

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

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