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

Abstract

In this work, we develop and present a new family of probability distributions called Marshall-Olkin exponentiated half logistic-type II Topp-Leone-G (MO-EHL-TII-TL-G) distribution. Statistical properties and the maximum likelihood estimates of the parameters of the proposed family of distributions were derived. Some special cases of the new family of distributions are presented. The performance of the maximum likelihood estimates is assessed by carrying out a simulation study. Two real-life datasets from different areas are applied on one special model, namely, the Marshall-Olkin exponentiated half logistic-type II Topp-Leone-Weibull (MO-EHL-TII-TL-W) distribution to demonstrate the usefulness and applicability of the new family of distributions.