The Exponentiated Half-logistic Odd Burr III-G: Model, Properties and Applications

Abstract

A new family of distributions called exponentiated half-logistic Odd Burr III-G (EHL-OBIII-G) is developed and studied. Mathematical and statistical properties such as the hazard function, quantile function, moments, probability weighted moments, Renyi entropy and stochastic orders are derived. The model parameters are estimated based on the maximum likelihood estimation method. The usefulness of the proposed family of distributions is demonstrated via extensive simulation studies. Finally the proposed model and its special case is applied to real data sets to illustrate its best fit and flexibility.

The New Exponentiated Half Logistic-Harris-G Family of Distributions with Actuarial Measures and Applications

“…The EHL-Harris-W distribution was compared with the following distributions: Exponentiated Half-logistic Odd Lindley-Weibull (EHL-OL-W), by [14], Topp-Leone-Harris-Loglogistic (TL-Harris-LLoG), by [30], Harris Extended Burr XII (HEBXII), by [31], Exponentiated Half-logistic Odd Burr III-Exponential (EHL-OBIII-E), by [32], Odd Exponentiated Half-logistic Burr XII (OEHL-BXII), by [33], and Harris Extended Lomax (HEL), by [31]. The pdfs of the EHL-OL-W, TL-Harris-LLoG, HEBXII, EHL-OBIII-E, OEHL-BXII and HEL distributions are provided below:…”

The Topp-Leone-Gompertz-Exponentiated Half Logistic-G Family of Distributions with Applications

“…Jafari et al (2014) developed the beta-Gompertz distribution, Roozegar et al (2017) considered the properties and applications of McDonald-Gompertz distribution, Nzei et al (2020) introduced Topp-Leone-Gompertz distribution, Eghwerido et al (2021) proposed the alpha power Gompertz distribution, Lenart & Missov (2016) considered goodness-of-fit statistics for the Gompertz distribution, El-Bassiouny et al (2017) proposed exponentiated generalized Weibull-Gompertz distribution, Khaleel et al (2020) introduced Marshall-Olkin exponential Gompertz distribution, Benkhelifa (2017) presented the Marshall-Olkin extended generalized Gompertz distribution, Elbatal et al (2018) proposed the modified beta Gompertz distribution, Shama et al (2022) developed the gammaGompertz distribution, Boshi et al (2020) proposed the generalized gammageneralized Gompertz distribution, El-Morshedy et al (2020) proposed Kumaraswamy inverse Gompertz distribution, and De Andrade et al (2019) introduced the exponentiated generalized extended Gompertz distribution. Some recent generalizations of the exponentiated half logistic distribution include: exponentiated half logistic-odd Burr III-G family of distributions by Oluyede, Peter, Ndwapi & Bindele (2022), exponentiated half logistic-power generalized Weibull-G family of distributions by Oluyede et al (2021), type II exponentiated half logistic-Topp-Leone-Marshall-Olkin-G family of distributions by Moakofi et al (2021), exponentiated half logistic-odd Lindley-G family of distributions by Sengweni et al (2021), exponentiated half logistic-odd Weibull-Topp-Leone-G family of distributions by , and exponentiated half logistic-log-logistic Weibull distribution by Chamunorwa et al (2021).…”