The wrapped stable family of distributions as a flexible model for circular data

DOI10.1016/j.csda.2007.04.017zbMath1452.62363OpenAlexW1975333643MaRDI QIDQ1023477

Arthur Pewsey

Publication date: 12 June 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2007.04.017

zbMATH Keywords

asymmetrypeakednessantimodal massfinite mixture modelingwrapped Lévy distributionwrapped skew-Cauchy distribution

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Infinitely divisible distributions; stable distributions (60E07) Computational methods for problems pertaining to statistics (62-08)

Related Items

A general approach for obtaining wrapped circular distributions via mixtures ⋮ Inverse Batschelet Distributions for Circular Data ⋮ Estimating the wrapped stable distribution via indirect inference ⋮ Unnamed Item ⋮ Recent advances in directional statistics ⋮ Weighted circular distributions ⋮ Two nested families of skew-symmetric circular distributions ⋮ An extended family of circular distributions related to wrapped Cauchy distributions via Brownian motion ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Sine-skewed circular distributions ⋮ On an extension of the von Mises distribution due to Batschelet ⋮ Discussion ⋮ A sequential discrimination procedure for two almost identically shaped wrapped distributions ⋮ On a class of circulas: copulas for circular distributions ⋮ SB-Robust Estimators of the Parameters of the Wrapped Normal Distribution ⋮ A Bayesian model for longitudinal circular data based on the projected normal distribution ⋮ On Papakonstantinou's extension of the cardioid distribution ⋮ Skew-symmetric circular distributions and their structural properties ⋮ On some circular distributions induced by inverse stereographic projection ⋮ A flexible Bayesian mixture approach for multi-modal circular data

Uses Software

• CircStats
• circular

Cites Work

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• Parameterizations and modes of stable distributions
• Unimodality of infinitely divisible distribution functions of class L
• Topics in Circular Statistics
• Statistical Analysis of Circular Data
• A Method for Simulating Stable Random Variables
• On optimal tests for isotropy against the symmetric wrapped stable‐circular uniform mixture family
• The wrapped skew-normal distribution on the circle
• A Simplex Method for Function Minimization