On Some Properties and Applications of the Topp Leone Exponentiated Inverted Kumaraswamy Distribution

Abstract:

In recent years, researchers in the area of distribution theory are proposing and developing new models by generalizing the existing ones so as to make them more flexible and fit in the recent trend in data. In this research, we propose a new distribution called the Topp Leone exponentiated inverse distribution with four positive parameters, which extends the inverse Kumaraswamy distribution with two shape parameters. We derive some mathematical properties of the proposed model including explicit expressions for the quantile function, moments, generating function, probability generating function, survival, hazard rate, reversed hazard rate, cumulative hazard rate and odd functions. The method of maximum likelihood is used to estimate the parameters of the distribution. We illustrate its potentiality with applications to two real data sets which show that the extended generalized inverse exponential model provides a better fit than other models considered.