Inverse Batschelet Distributions for Circular Data

DOI10.1111/j.1541-0420.2011.01651.xzbMath1241.62091OpenAlexW1971898709WikidataQ34207422 ScholiaQ34207422MaRDI QIDQ2894006

Arthur Pewsey, M. C. Jones

Publication date: 27 June 2012

Published in: Biometrics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1541-0420.2011.01651.x

zbMATH Keywords

von Mises distributionunimodalityskew distributionsparameter orthogonalitytransformation of scaleflat-topped

Mathematics Subject Classification ID

Related Items (17)

Smooth kernel estimation of a circular density function: a connection to orthogonal polynomials on the unit circle ⋮ Transformation of circular random variables based on circular distribution functions ⋮ Mixtures of peaked power Batschelet distributions for circular data with application to saccade directions ⋮ Recent advances in directional statistics ⋮ Extending circular distributions through transformation of argument ⋮ Mixtures of Gaussian wells: theory, computation, and application ⋮ A plug-in rule for bandwidth selection in circular density estimation ⋮ On Families of Distributions with Shape Parameters ⋮ Identifiability of asymmetric circular and cylindrical distributions ⋮ Unnamed Item ⋮ Models for circular data from time series spectra ⋮ A family of skew distributions with mode-invariance through transformation of scale ⋮ Families of complementary distributions ⋮ On bivariate transformation of scale distributions ⋮ On some circular distributions induced by inverse stereographic projection ⋮ On optimal tests for circular reflective symmetry about an unknown central direction ⋮ On a family of two-piece circular distributions

Uses Software

• CircStats
• circular

Cites Work

• Unnamed Item
• Unnamed Item
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• Sine-skewed circular distributions
• The generalized von Mises distribution
• On Papakonstantinou's extension of the cardioid distribution
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• Building asymmetry into circular distributions
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• Exponential models for directional data
• DATA-DRIVEN SMOOTH TESTS AND A DIAGNOSTIC TOOL FOR LACK-OF-FIT FOR CIRCULAR DATA
• New Families of Wrapped Distributions for Modeling Skew Circular Data
• Probabilistic Applications of the Schlömilch Transformation
• Modelling seasonally varying data: A case study for Sudden Infant Death Syndrome (SIDS)
• Sinh-arcsinh distributions
• Testing circular symmetry
• A Family of Distributions on the Circle With Links to, and Applications Arising From, Möbius Transformation
• Necessary and Sufficient Statistics for the Family of Shifts of Probability Distributions on Continuous BiCompact Groups
• A Simplex Method for Function Minimization
• A Family of Symmetric Distributions on the Circle

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