A new method for generating families of continuous distributions

By Ayman Alzaatreh, Carl Lee, Felix Famoye. 2013

1,098 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/89e30fbaf61c538b8f7422345e57483c31bc9d90

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Citations in the corpus

The Odd Power Lindley Generator of Probability Distributions: Properties, Characterizations and Regression Modeling (2019, background): “Many other classes can be cited such as the T-X family by Alzaatreh et al. (2013), the Lomax-G by Cordeiro et al. (2014), Burr X generator by Yousof et al. (2016), the generalized two-sided class of distributions by Korkmaz and Genç (2017), the Burr XII generator by Cordeiro et al. (2018), among…”
Odd Generalized N-H Generated Family of Distributions with Application to Exponential Model (2020, background): “The associated probability density function (pdf ) corresponding to (1) is as follows g(t) = αλC(1 + λt)α−1e−1+λt α , (2) where λ is the scale parameter and α is the shape parameter.”
The exponentiated transmuted-G family of distributions: Theory and applications (2017, background): “…Torabi and Hedesh (2012), log-gamma-G by Amini et al. (2012), exponentiated generalized-G by Cordeiro et al. (2013), Transformed-Transformer (T-X) by Alzaatreh et al. (2013), exponentiated (T-X) by Alzaghal et al. (2013), Weibull-G by Bourguignon et al. (2014), exponentiated half logistic…”
A New Weibull Class of Distributions: Theory, Characterizations and Applications (2018, background): “Other generators that can be cited are Barreto-Souza and Simas (2013), Alzaatreh et al. (2013), Bourguignon et al. (2014), Yousof et al. (2015), Tahir et al (2016), Afify et al. (2016b), Afify et al. (2016a), Yousof et al. (2016), Merovci et al. (2016), Korkmaz and Genc (2016), Alizadeh et al.…”
The generalized Cauchy family of distributions with applications (2016, unknown): “The beta-generated family was extended by Alzaatreh et al. (2013) to the T -”
Generalized inverted Kumaraswamy generated family of distributions: theory and applications (2019, methodology): “[5], logistic-G by Torabi and Montazari [29], Weibull-G by Bourguignon et al.”
The Weibull Marshall–Olkin family: Regression model and application to censored data (2018, methodology): “Alzaatreh, Lee, and Famoye (2013) proposed a general technique, called the T-X fam- ily, to generate wider families based on any probability density function (pdf).”
The transmuted Weibull-G family of distributions (2017, background): “The pdf of X is (5) if and only if its hazard function hF (x) satisfies the differential equation hF (x)− g′ (x;ψ) (g (x;ψ)) −1 hF (x)”
The Generalized Odd Weibull Generated Family of Distributions:Statistical Properties and Applications (2018, background): “Many other classes cited by Marshall and Olkin (1997), Eugene et al. (2002), Cordeiro et al. (2013), Alzaatreh et al. (2013), Yousof et al. (2015), Merovc et al. (2016), Yousof et al. (2016), Alizadeh et al. (2016a,b), Afify et al.(2016a,b,c,d), Aryal and Yousof (2017), Korkmaz and Genç (2017),…”
The Kumaraswamy Marshal-Olkin family of distributions (2015, unknown): “[10], discrete T-X by Alzaatreh et al.”
A New Modified Kies Family: Properties, Estimation Under Complete and Type-II Censored Samples, and Engineering Applications (2020, methodology): “[4], we construct a new generator so-called the modified Kies generalized (MKi-G) family.”
A New Kumaraswamy Generalized Family of Distributions with Properties, Applications, and Bivariate Extension (2020, methodology): “[21] proposed a general method for constructing G-families by using the transformed-transformer (T-X) approach.”
The Beta Exponential Fréchet Distribution with Applications (2017, methodology): “The aim of this paper is to provide another extension of the Fréchet model using the Beta exponential-G (BEx-G) family of distributions proposed by Alzaatreh et al. (2013).”
KUMARASWAMY WEIBULL-GENERATED FAMILY OF DISTRIBUTIONS WITH APPLICATIONS (2016, methodology): “[1], extended the beta-generated family of distributions by using any non-negative continuous random variable T as the generator, in place of the beta random variable.”