Distributions generated by transformation of scale using an extended Cauchy-schlömilch transformation

DOI10.1007/s13171-010-0021-6zbMath1213.60034OpenAlexW2170731213MaRDI QIDQ541772

M. C. Jones

Publication date: 8 June 2011

Published in: Sankhyā. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13171-010-0021-6

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Distribution theory (60E99)

Related Items (9)

The Power M-Gaussian Distribution: An R-Symmetric Analog of the Exponential-Power Distribution ⋮ On Families of Distributions with Shape Parameters ⋮ Flexible asymmetric multivariate distributions based on two-piece univariate distributions ⋮ Relationships between distributions with certain symmetries ⋮ A family of skew distributions with mode-invariance through transformation of scale ⋮ Creating new distributions by blunting cusps ⋮ The Cauchy–Schlömilch transformation ⋮ On bivariate transformation of scale distributions ⋮ Univariate continuous distributions: symmetries and transformations

Cites Work

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• Tailweight with respect to the mode for unimodal distributions
• IG-symmetry and R-symmetry: Interrelations and applications to the inverse Gaussian theory
• Some measures for asymmetry of distributions
• Probabilistic Applications of the Schlömilch Transformation
• Reciprocal symmetry, unimodality and Khintchine’s theorem
• Asymmetry and Gradient Asymmetry Functions: Density‐Based Skewness and Kurtosis

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