The Topp-Leone Marshall-Olkin-G Family of Distributions With Applications

Abstract

A new generalized distribution is developed, namely, Topp-Leone Marshall-Olkin-G distribution. The new distribution is a linear combination of the exponentiated-G family of distributions. We considered three sub-families of the new proposed family of distribution. The distribution can handle heavy-tailed data and various forms of the hazard rate functions. A simulation study was conducted to evaluate consistency of the model parameters. Three applications are provided to demonstrate the usefulness of the new model in comparison with competing non-nested models.

The odd Weibull-Topp-Leone-G power series family of distributions: model, properties, and applications

“…Furthermore, we provide fitted densities and probability plots to demonstrate how the OW-TL-LLoGP model fit the two data sets. The non-nested models considered are the beta odd Lindley-Uniform (BOL-U) distribution and the beta odd Lindley-Exponential (BOL-E) by [12], Kumaraswamy odd Lindley-log logistic (KOL-LLoG) by [9], exponential Lindley odd log-logistic Weibull (ELOLLW) by [23], Topp-Leone-Marshall-Olkin-Weibull (TLMO-W) by [11], Kumaraswamy-Weibull (KwW) by [14], beta-Weibull (BW) by [13], the exponentiated power generalized Weibull (EPGW) distribution [27] and odd exponentiated half logistic-Burr XII (OEHLBXII) [2] distributions. The pdfs of the non-nested models are…”

“…Some generalizations of the Topp-Leone distribution includes the Topp-Leone-G family by [5], Topp-Leone generated Weibull distribution by [6], transmuted Topp-Leone Weibull lifetime distribution [20], Topp-Leone generalized inverted exponential distribution [4] and Topp-Leone-Marshall-Olkin-G by [11]. Odd generalized families includes the odd Lindley-G distribution by [16], odd generalized half logistic Weibull-G by [10], odd log-logistic Lindley-G by [3], odd exponentiated half logistic Burr XII distribution by [2], to mention a few.…”

The Burr III-Topp-Leone-G family of distributions with applications

“…The data set was also analyzed by Chipepa et al [15]. The observations represent breaking stress of carbon fibres of 50 mm length (GPa).…”

“…In this paper, we develop and study in detail a new family of generalized distributions called the Burr III Topp-Leone-G (BIII-TL-G) distribution. Other Topp-Leone extensions in the literature include the Topp-Leone generated family of distributions by Rezaei et al [11], Topp-Leone odd log-logistic by Brito et al [12], odd log-logistic Topp-Leone-G by Alizadeh et al [13], transmuted Topp-Leone-G by Yousof et al [14] and Topp-Leone-Marshall-Olkin-G distribution by Chipepa et al [15]. The proposed distribution provides better fit and flexibility in modeling real lifetime data sets compared to other models.…”

The The Topp Leone-G Power Series Class of Distributions with Applications

“…Some generalizations of the Topp-Leone-G family of distributions include the Topp-Leone-Marshall-Olkin-G family by Chipepa et al (2020), Type II power Topp-Leone generated family by Bantan et al (2020), Topp-Leone-Weibull by Rezaei et al (2016), Topp-Leone generalized exponential Sangsanit and Bodhisuwan (2016).…”