Generalized beta-generated distributions

By Carol Alexander, Gauss Moutinho Cordeiro, Edwin M. M. Ortega, José María Sarabia. Computational Statistics & Data Analysis, 2012

394 citations recorded by the source corpus.

Subfields: Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/5c351043dff7ee5fe71dff7ea8cec225b6ab93b6

How researchers see this paper

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

In Global and Planetary Change

In Statistics and Probability

Citations in the corpus

A New Kumaraswamy Generalized Family of Distributions with Properties, Applications, and Bivariate Extension (2020, background): “[9] (McDonald-G (Mc-G)), Ristić and Balakrishnan [10] (RBgamma-G), Cordeiro et al.”
T-normal family of distributions: a new approach to generalize the normal distribution (2014, background): “The beta normal (Eugene et al. 2002), Kumaraswamy normal (Cordeiro and de Castro 2011), and generalized beta-generated normal (Alexander et al. 2012) belong to the T-normal{standard uniform} families.”
The Zografos–Balakrishnan-G Family of Distributions: Mathematical Properties and Applications (2015, methodology): “…introduced by Cordeiro and de Castro (2011); the class of distributions generated by McDonald’s (1984) generalized beta random variable introduced by Alexander et al. (2012); the class of distributions generated by Ng and Kotz’s (1995) Kummer beta random variable introduced by Pescim et al.…”
Recent Developments in Distribution Theory: A Brief Survey and Some New Generalized Classes of distributions (2019, background): “Vol.XV No.1 2019 pp87-110 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) (…”
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.”
A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications (2014, methodology): “…and Olkin (1997), the beta-G by Eugene et al. (2002), the Kumaraswamy-G (Kw-G for short) by Cordeiro and de Castro (2011), the McDonald-G (Mc-G) by Alexander et al. (2012), the gamma-G by Zografos and Balakrishanan (2012), the transformer (T-X) by Alzaatreh et al. (2013), the Weibull-G by…”
The Odd Power Lindley Generator of Probability Distributions: Properties, Characterizations and Regression Modeling (2019, methodology): “This data also analyzed by Cordeiro et al. (2010) and Alexander et al. (2012).”
The Lindley family of distributions: properties and applications (2017, background): “[4], transformedtransformer (T-X) family by Alzaatreh et al.”
The logistic-X family of distributions and its applications (2016, neutral): “The well-known families are: the betaG (Eugene et al., 2002; Jones, 2004), Kumaraswamy-G (Kw-G; Cordeiro and de Castro, 2011), McDonald-G (Mc-G; Alexander et al., 2012), gamma-X (Alzaatreh et al., 2014), gamma-G (type 1) (Zografos and Balakrishnan, 2009), gamma-G (type 2) (Ristić and Balakrishnan,…”
Generalized inverted Kumaraswamy generated family of distributions: theory and applications (2019, background): “[4], gamma-G (type 2) by Ristic and Balakrishnan [25], gamma-G (type 3) byTorabi andMontazari [28], exponentiated generalized-G by Cordeiro et al.”
The Kumaraswamy Marshal-Olkin family of distributions (2015, background): “[4], gamma-G type 1 by Zografos and Balakrishanan [5], and Amini et al.”
The Weibull Marshall–Olkin family: Regression model and application to censored data (2018, methodology): “We shall compare the fits of the WMO-W distribution with the following models: the beta Marshall–Olkin Weibull (BMO-W) (Alizadeh et al. 2015), McDonald-Weibull (Mc-W) (Alexander et al. 2012), generalized Kumaraswamy Weibull (GKw-W) (Cordeiro et al. 2017b) and W distributions.”
The exponentiated transmuted-G family of distributions: Theory and applications (2017, background): “(2002) and Jones (2004), Kumaraswamy-G (Kw-G for short) by Cordeiro and de Castro (2011), McDonald-G (Mc-G) by Alexander et al. (2012), gamma-G (type 1) by Zografos and Balakrishnan (2009), gamma-G (type 2) by Ristić and Balakrishnan (2012), gamma-G (type 3) by Torabi and Hedesh (2012), log-gamma-G ”
On Families of Distributions with Shape Parameters (2015, positive): “Good examples include the extended two-piece t distribution of Zhu & Galbraith (2010) and the use of generalized beta w in Family 4 (Alexander, Cordeiro, Ortega & Sarabia, 2012).”
The generalized odd Burr III family of distributions: properties, applications and characterizations (2019, neutral): “Furthermore, researchers proposed generalized families; Kumaraswamy-G [2], Marshall–Olkin-G [3], McDonald-G [4], Weibull-G [5], Lomax-G [6], Type II half logistic-G [7], exponentiated extended-G [8], odd Fréchet-G [9], moment exponential-G [10] family of distributions.”