A Sine Lomax-Exponential Distribution: Its Properties, Simulation and Applications to Survival Data.

Abstract:

The process of introducing extra parameters or mathematical constants into existing distribution to increase its flexibility and performance has yielded good results in the area of statistical theory and applications. The trigonometric based Sine-G family, a method of developing new distributions, is one of the most efficient methods proposed and studied for introducing skewness and flexibility into probability distributions. In this paper, the method has been used to add flexibility to the Lomax-exponential distribution resulting to a new continuous distribution known as “Sine Lomax-Exponential distribution”. The properties, estimation of parameters and simulation study of the new distribution using the method of maximum likelihood estimation with real life applications are presented and discussed in this paper. The new model has been applied to two survival datasets and the result is being compared among the fitted distributions using some information criteria.