Type II exponentiated half-logistic Topp-Leone Marshall-Olkin-G family of distributions with applications

Abstract

The aim of this paper is to generalize and study a new family of lifetime distributions in order to gain flexibility. The new generalized distribution is named as type II exponentiated half-logistic Topp-Leone-Marshall-Olkin-G (TIIEHL-TL-MO-G) family of distributions. Several mathematical properties of the new model have been derived including, moments and generating function, distribution of the order statistics and Rényi entropy. The performance of the maximum likelihood estimates is evaluated via a simulation study. Lastly, we apply the generated family to three real data to illustrate the potentiality of this new generalized family of distributions.

Keywords

• Half-logistic
• Marshall-Olkin
• Topp-Leone
• Generalized distribution
• Maximum likelihood estimation