On families of beta- and generalized gamma-generated distributions and associated inference

By Konstantinos Zografos, Narayanaswamy Balakrishnan. 2009

587 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/07193c4301a442b154122ed3351cc6a8d59c22b1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Statistics and Probability

Citations in the corpus

The Weibull-G Family of Probability Distributions (2014, methodology): “…gamma density f(x) = γxγ δ−1e−x γ /Γ(δ) for x > 0 and positive parameters γ and δ. Based on this density, by replacing x by − log[1−G(x)] and considering γ = 1, Zografos and Balakrishnan (2009) defined their family with cdf F (x; δ) = γ{δ,− log[1−G(x)]}, x ∈ X ⊆ R, δ > 0, where γ(δ, z) = ∫ z…”
The Burr XII power series distributions: A new compounding family (2015, methodology): “This method has been successfully applied to a wide variety of fields and has also been used for the characterization of several standard probability distributions; see, for example, Kapur (1989), Soofi (2000) and Zografos and Balakrishnan (2009).”
The gamma-Lomax distribution (2015, background): “Journal of Statistical Computation and Simulation, 2015 Vol. 85, No. 2, 305–319, http://dx.doi.org/10.1080/00949655.2013.822869 The gamma-Lomax distribution Gauss M. Cordeiroa, Edwin M.M. Ortegab* and Božidar V. Popovićc aDepartamento de Estatística, Universidade Federal de Pernambuco, 50740-540, R”
The Alpha Power Transformation Family: Properties and Applications (2019, unknown): “Further, we consider some other competitive distributions, namely: EW (Mudholkar and Srivastava, 1993), transmuted Weibull (TW) (Aryall and Tsokos, 2011), modified Weibull (MW) (Sarhan and Zaindin, 2009), beta Weibull (BW) (Lee et al., 2007), and Zografos-Balakrishnan log-logistic (ZBLL) (Zografos a”
Weibull Rayleigh Distribution: Theory and Applications (2015, methodology): “Balakrishnan, [20]) families, using the Weibull generator applied to the odds ratio G(x) 1−G(x) .”
Log-gamma-generated families of distributions (2014, unknown): “The distribution and moments of record values from a normal population are discussed by Houchens [16] and Balakrishnan and Chan [17,18].”
A New Kumaraswamy Generalized Family of Distributions with Properties, Applications, and Bivariate Extension (2020, background): “[4]) [G(x)], ZBgamma-G (Zografos and Balakrishnan [7]) [− log Ḡ(x)], odd log-logistic-G (Gleaton and Lynch [5]) [G(x)/Ḡ(x)], RBgamma-G (Ristic and Balakrishnan [10]) [− log G(x)], log-odd logistic-G (Torabi and Montazeri [22]) [log{G(x)/Ḡ(x)}], Gumbel-X (Al-Aqtash et al.”
Generalized beta-generated distributions (2012, background): “BG distributions have been studied by Nadarajah and Kotz (2004, 2005), Akinsete et al. (2008), Zografos and Balakrishnan (2009) and Barreto-Souza et al. (2010).”
Recent Developments in Distribution Theory: A Brief Survey and Some New Generalized Classes of distributions (2019, unknown): “…93 ( ) ;W F x Range of T Members of T-X family ( );F x [0, 1] Beta-G (Eugene et al., 2002), Mc-G (Alexander et al., 2012) ( )log ;F x − (0, ∞) Gamma-G Type-2 (Risti´c and Balakrishnan, 2012) ( )log 1 ;F x − − (0, ∞) Gamma-G Type-1 (Zografos and Balakrishnan, 2009) ( ) ( ) ; 1 ; F x F x”
Type II Half Logistic Family of Distributions with Applications (2017, methodology): “(Zografos and Balakrishnan, 2009) suggested a generated family using gamma distribution which is defined as follows log[1 ( ; )] 1 1 0 1 , (1) ( ) G x tF x t e dt”
Generalized Transmuted Family of Distributions: Properties and Applications (2017, background): “[1], gamma-G (type 1) by Zografos and Balakrishanan [57], gamma-G (type 2) by Risti¢ and Balakrishanan [47] , , gamma-G (type 3) by Torabi and Montazari [55], log-gamma-G by Amini et al.”
The Exponentiated Half-Logistic Family of Distributions: Properties and Applications (2014, methodology): “Another example is the gamma-generated family of distributions defined by Zografos and Balakrishnan [5].”
The gamma-exponentiated exponential distribution (2012, background): “Recently, Zografos and Balakrishnan [1] have introduced a new family of distributions generated by gamma random variables.”