A Generalization of the Half-Normal Distribution with Applications to Lifetime Data

By Kahadawala Cooray, Malwane M. A. Ananda. 2008

232 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/018eb6f15155255c271fb44122e1b2ef223f70bf

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In Mechanics of Materials

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Citations in the corpus

The Kumaraswamy Generalized Half-Normal Distribution for Skewed Positive Data (2012, methodology): “The half-normal and generalized half-normal (Cooray and Ananda, 2008) distributions are special cases of the new model.”
The Kumaraswamy Burr XII distribution: theory and practice (2013, methodology): “[29] K. Cooray and M.M.A. Ananda, A generalization of the half-normal distribution with applications to lifetime data, Commun.”
The Weibull Marshall–Olkin family: Regression model and application to censored data (2018, methodology): “This data set was studied by Andrews and Herzberg (1985), Cooray and Ananda (2008) and Parana ıba et al. (2013).”
The Exponentiated Generalized Class of Distributions (2021, background): “The failure times in hours are given by Cooray and Ananda (2008).”
A New Extended G Family of Continuous Distributions with Mathematical Properties, Characterizations and Regression Modeling (2018, methodology): “(5) The cdf in (2) can be written as Fnew(x) = 2 α−1G (x; η) [1 + G (x; η) α ] −α−1 ⏟ A [1 + G (x; η) β ] −β−1 .”
A New Class of Generalized Power Lindley Distribution with Applications to Lifetime Data (2016, unknown): “[18] proposed and studied the beta-generalized half-normal distribution which contains some important distributions such as the half-normal and generalized half normal (Cooray and Ananda [19]) as special cases.”
A new class of generalized Lindley distributions with applications (2015, background): “[14] proposed and studied the beta-generalized halfnormal distribution, which contains some important distributions such as the half-normal and generalized half-normal [15] as special cases.”
Parametric quantile regression based on the generalized gamma distribution (2013, methodology): “Also recently, Cox et al. (2007) presented a taxonomy of the hazard functions of the GG family. Using the Prentice (1974) parametrisation, they applied the proposed taxonomy to study the survival after a diagnosis of clinical AIDS during different eras of HIV therapy.”
The beta generalized gamma distribution (2013, background): “Furthermore, Pescim et al. [20] proposed the betaG half-normal distribution, which contains some important distributions as special cases, such as the half-normal and generalized half-normal distributions, the last one defined by Cooray and Ananda [21].”
The Burr XII System of densities: properties, regression model and applications (2018, methodology): “[28] analysed these data using the Kumaraswamy generalized half-normal (Kw-GHN) distribution and prove empirically that this distribution can provide better fits than the generalized half-normal (GHN) and half-normal (HN) models [29].”
The exponentiated generalized gamma distribution with application to lifetime data (2011, background): “If λ = 1 in addition to α = 21/(2γ )θ , β = 2γ , k = 1/2, it coincides with the generalized half-normal (GHN) distribution introduced by Cooray and Ananda [17].”
The Exponentiated Half-Logistic Family of Distributions: Properties and Applications (2014, unknown): “Consider 𝐺(𝑥; 𝜉) to be the generalized half-normal (GHN) distribution [8] with scale parameter 𝑏 > 0 and shape parameter 𝑎 > 0 , where 𝜉 = (𝑎, 𝑏) 𝑇 , given by 𝐺(𝑥 where erf (⋅) is the error function.”
The Kumaraswamy generalized gamma distribution with application in survival analysis (2011, background): “If φ = λ = 1, in addition to α = 2 1 2γ θ, τ = 2γ , k = 1/2, it becomes the generalized half-normal (GHN) distribution [8].”