Dependent models for observations which include angular ones

DOI10.1016/j.jspi.2006.12.009zbMath1152.62033OpenAlexW1965433380MaRDI QIDQ947256

Shogo Kato, Kunio Shimizu

Publication date: 29 September 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2006.12.009

zbMATH Keywords

copulaMarkov processmaximum entropyvon Mises distributiondirectional statistics

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Directional data; spatial statistics (62H11) Statistical aspects of information-theoretic topics (62B10) Markov processes (60J99)

Related Items (10)

A new test of discordancy in cylindrical data ⋮ Recent advances in directional statistics ⋮ Unnamed Item ⋮ Model-based clustering of multivariate skew data with circular components and missing values ⋮ A multivariate hidden Markov model for the identification of sea regimes from incomplete skewed and circular time series ⋮ Non‐parametric Regression for Circular Responses ⋮ Spatio-temporal circular models with non-separable covariance structure ⋮ Maximum likelihood estimation of bivariate circular hidden Markov models from incomplete data ⋮ Bayesian cylindrical data modeling using Abe-Ley mixtures ⋮ A cylindrical distribution with heavy-tailed linear part

Uses Software

• CircStats
• circular

Cites Work

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• Marginal replacement in multivariate densities, with application to skewing spherically symmetric distributions
• Inferences based on a bivariate distribution with von Mises marginals
• The Möbius distribution on the disc
• Topics in Circular Statistics
• Statistical Analysis of Circular Data
• A Unified View of the Theory of Directional Statistics, 1975-1988
• Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests Under Nonstandard Conditions
• Bivariate models for dependence of angular observations and a related Markov process
• Some Angular-Linear Distributions and Related Regression Models
• PEARSON TYPE VII DISTRIBUTIONS ON SPHERES
• The wrapped skew-normal distribution on the circle
• Testing circular symmetry
• An extension of the von mises distribution
• Necessary and Sufficient Statistics for the Family of Shifts of Probability Distributions on Continuous BiCompact Groups

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