Marshall-Olkin-Type II-Topp-Leone-G Family of Distributions: Model, Properties and Applications

Abstract

We develop a new family of distribution called the Marshall-Olkin-Type II-Topp-Leone-G (MO-TII-TL-G) family of distributions, which is a linear combination of the exponential-G family of distributions. The statistical properties of the new distributions are studied and its model parameters are obtainedusing the maximum likelihood method. A simulation study is carried out to determine the performance of the maximum likelihood estimates and lastly real data examples are provided to demonstrate the usefulness of the proposed model in comparison to other models.

Marshall-Olkin Cosine Topp-Leone Family of Distributions with Application to Real-life Datasets

“…The Marshall Olkin Exponentiated Dagum (MOED) distribution has also been applied to real-life datasets and has yielded encouraging results [5]. Furthermore, the Marshall-Olkin-odd power generalized Weibull (MO-OPGW-G) distribution is suitable for analyzing covid-19 data [6], while the Marshall-Olkin-Type II-Topp-Leone-G (MO-TII-TL-G) family of distributions exhibits power-law behavior, which is a common characteristic observed in real-life datasets [7].…”

The Type II Exponentiated Half Logistic-Marshall-Olkin-G Family of Distributions with Applications

“…Examples of generated distributions include, the type II half-logistic-G (Hassan et al, 2017), Weibull-G by Bourguignon et al (2014), odd Dagum-G by Afify & Alizadeh (2020), Kumaraswamy-G by Cordeiro & de Castro (2011), Marshall-Olkin-G by Marshall & Olkin (1997), gamma-G by Zografos & Balakrishnan (2009), Topp-Leone Marshall-Olkin-G by Chipepa et al (2020), beta Marshall-Olkin-G (BMO-G) by Alizadeh et al (2015), Marshall-Olkin Extended Weibull (MOEW) distribution by Ghitany et al (2005), Marshall-Olkin Weibull distribution by Cui et al (2020) and Marshall-Olkin type II Topp-Leone-G (MO-TII-TL-G) by Rannona et al (2022).…”