The beta generalized exponential distribution

Survival Analysis for White Non-Hispanic Female Breast Cancer Patients

“…The Weibull model has three parameters, α>0 and β>0 are the shape parameters, and λ>0 is the scale parameter (Khan et al 2014c). The beta generalized exponential model has four parameters, where the shape parameter, α>0 and the scale parameter, λ>0, and additional two parameters, a>0 and b>0 are essential for varying tail weight and to present skewness (Barreto-Souza et al, 2010). The beta inverse-Weibull (BIW) model is another type of statistical probability model, where β is the shape parameter, and two extra parameters, a>0 and b>0, are used to introduce skewness and tail weight (Khan et al 2014c(Khan et al , 2014d.…”

The Beta Exponentiated Pareto Distribution with Application to Bladder Cancer Susceptibility

“…These extensions are obtained by taking any parent G distribution in the cdf of a beta distribution with two additional shape parameters, introducing skewness and varying tail weight. Following the same idea, many beta-type distributions were introduced and studied, see, for example, Barreto-Souza et al (2010), and Cordeiro et al (2011).…”

“…Another instance of the generalization given by (2) is the beta logistic distribution, which has been around for over 20 years (Brown et al, 2002), although it did not originate directly from this equation. Recently, Barreto-Souza et al (2010) proposed the beta generalized exponential distribution by taking G(t) in (2) to be the cdf of the exponentiated exponential (EE) distribution and discussed maximum likelihood estimation of its parameters.…”

The Beta-Rayleigh Distribution on the Lattice of Integers

“…The last authors introduced the discrete beta generalized exponential (DBGE) distribution by inserting the cdf of the generalized exponential (GE) distribution of Gupta and Kundu (1999) into Equation (2). Indeed, they studied a discrete analog of the beta generalized exponential distribution of Barreto-Souza et al (2010).…”