The Topp-Leone-Marshall-Olkin-G power series class of distributions: properties and applications

Abstract

This study introduces a new class of distributions known as the Topp-Leone-Marshall-Olkin-G power series (TLMO-GPS) distribution. TLMO-G family of distributions is compounded with the power series distribution to get TLMO-GPS distribution. Some statistical properties including quantile function, linear representation, order statistics, Rényi entropy, moments and probability weighted moments are developed. Parameter estimation is done using maximum likelihood estimation technique. To establish estimates consistency, we perform Monte Carlo simulation. By utilising real life datasets, the merits of a member of the new class of distributions are demonstrated. Thus, the Topp-Leone-Marshall-Olkin-G class of distributions is shown to be useful and applicable to real life data.