Modelling Lifetime Data and Athletes Red Cells Counts Using the New Topp-Leone-Lomax Poisson Distribution

A new compounded distribution called the Topp-Leone-Lomax Poisson is developed. The statistical properties of this model are derived. The model parameters are estimated via the maximum likelihood technique. The performance of the estimation techniques was assessed by means of simulation studies. The new model was exposed to three data sets and compared to other models within the same class and the evidence supports the importance of the new model in data modelling.