A Generalization of the Skew-Normal Distribution: The Beta Skew-Normal

DOI10.1080/03610926.2011.607530zbMath1287.60022arXiv1104.4218OpenAlexW2090768046MaRDI QIDQ2839081

Valentina Mameli, Monica Musio

Publication date: 4 July 2013

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4218

zbMATH Keywords

order statisticsskew-normal distributionBalakrishnan skew-normalbeta skew-normal

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05)

Related Items (15)

A Cautionary Note on Beta Families of Distributions and the Aliases Within ⋮ The polar-generalized normal distribution: properties, Bayesian estimation and applications ⋮ Simulation of Balakrishnan skew-normal order statistics ⋮ A flexible generalization of the skew normal distribution based on a weighted normal distribution ⋮ Computational methods applied to a skewed generalized normal family ⋮ The beta skew-generalized normal distribution ⋮ The Kumaraswamy skew-normal distribution ⋮ Toward the establishment of a family of distributions that may fit any dataset ⋮ A new generalized Balakrishnan type skewed–normal distribution: properties and associated inference ⋮ Bimodality based on the generalized skew-normal distribution ⋮ DS normal distribution: properties and applications ⋮ The beta skew \(t\) distribution and its properties ⋮ A new general asymptotic formula for the Mills' ratio of the skew-generalized normal distribution ⋮ Sulewski plasticizing component distribution: properties and applications ⋮ Some New Results on the Beta Skew-Normal Distribution

Uses Software

• sn

Cites Work

• Unnamed Item
• The Balakrishnan skew-normal density
• Families of distributions arising from distributions of order statistics
• A generalization of the Balakrishnan skew-normal distribution
• The beta generalized half-normal distribution
• Skewed multivariate models related to hidden truncation and/or selective reporting. With discussion and a rejoinder by the authors.
• Generalized skew normal model
• Some Generalized Functions for the Size Distribution of Income
• Order Statistics
• BETA-NORMAL DISTRIBUTION AND ITS APPLICATIONS
• A Constructive Representation of Univariate Skewed Distributions

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