On the Properties of Beta-Gamma Distribution

Abstract

A class of generalized gamma distribution called the beta-gamma distribution is proposed. Some of its properties are examined. Its shape can be reversed J-shaped, unimodal, or bimodal. Reliability and hazard functions are also derived, and applications are discussed.

The beta-burr type v distribution: its properties and application to real life data

“…Where F(x)is the cumulative distribution function of the baseline distribution and f(x)is the probability density function of the baseline distribution Many researchers have used this technique to come up with many compound distributions which include: [1], [3], [4], [6], [8], [9], [12], [15], [16], [17], [18], [19], [20], [21], [23] and many others. The aim of this paper is to propose a new model called beta-Burr type V distribution.…”

“…So many researchers have established beta -G distribution; these include among others: Nadarajah and Gupta [20] defined the beta-Frechet distribution; Famoye, et al [5] defined the beta-Weibull; Nadaraja and Kotz [19] defined the betaexponential distribution; Kong et al [15] proposed the betagamma distribution. Fischer and Vaughan [12] introduced the beta-hyperbolic secant distribution; beta-Gumbel (BGU) distribution was introduced by Nadarajah and Kotz [18]; the beta-Pareto distribution was defined and studied by Akinsete et al [4]; the beta-Rayleigh distribution was proposed by Akinsete and Lowe [3]; beta-Burr XII by Paranaiba et al [21]; and very recently, Merovci et al [17] developed the beta-Burr type X distribution leaving the rest types of Burr distributions with little or no interest from researchers.…”

Family of generalized gamma distributions: Properties and applications

“…Based on the betagenerated family and its variants, more generalized gamma distributions have been defined and studied. Some examples are the beta-gamma distribution by Kong et al (2007), the Kumaraswamy-gamma distribution by Cordeiro and de Castro (2011), the Kumaraswamy-generalized gamma distribution by de Pascoa et al (2011), and the beta generalized gamma distribution by Cordeiro et al (2013).…”

Exponentiated $T$-$X$ Family of Distributions with Some Applications

“…Many new distributions utilizing this technique have been defined and studied. Some examples include the beta Gumbel distribution by Nadarajah and Kotz (2004), the beta Fréchet distribution by Nadarajah and Gupta (2004), the beta-Weibull distribution by Famoye et al (2005), the beta exponential distribution by Nadarajah and Kotz (2006), the beta-gamma distribution by Kong et al (2007), the beta-Pareto distribution by Akinsete et al (2008), the beta generalized exponential distribution by Barreto-Souza et al (2010), the beta generalized Pareto distribution by Mahmoudi (2011), and the beta-Cauchy distribution by Alshawarbeh et al (2012). For a review of beta-generated distributions and other generalizations, one may refer to Lee et al (2013).…”