Bayesian nonparametric models of circular variables based on Dirichlet process mixtures of normal distributions

DOI10.1007/s13253-014-0193-yzbMath1325.62214OpenAlexW2080659159MaRDI QIDQ894831

María Concepción Ausín, Gabriel Nuñez-Antonio, Michael P. Wiper

Publication date: 24 November 2015

Published in: Journal of Agricultural, Biological, and Environmental Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13253-014-0193-y

zbMATH Keywords

circular datadeviance information criterionDirichlet process mixturesprojected normal distributionwrapped normal distribution

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Applications of statistics to environmental and related topics (62P12) Nonparametric estimation (62G05)

Related Items

Bayesian tests for circular uniformity, Smooth kernel estimation of a circular density function: a connection to orthogonal polynomials on the unit circle, A multivariate projected Gamma model for directional data, Multivariate and regression models for directional data based on projected Pólya trees, Projected Pólya Tree, A non-stationary model for spatially dependent circular response data based on wrapped Gaussian processes, Agent-based models for collective animal movement: proximity-induced state switching, A flexible Bayesian mixture approach for multi-modal circular data

Uses Software

• R
• CircStats
• circular

Cites Work

• Kernel density estimation with spherical data
• Semiparametric Bayesian circular statistics
• Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems
• A plug-in rule for bandwidth selection in circular density estimation
• Bayesian analysis of semiparametric linear-circular models
• Bayesian analysis of circular data using wrapped distributions
• Directional data analysis under the general projected normal distribution
• A Bayesian analysis of some nonparametric problems
• Directional log-spline distributions
• Topics in Circular Statistics
• Statistical Analysis of Circular Data
• Sampling the Dirichlet Mixture Model with Slices
• Semiparametric Bayesian Techniques for Problems in Circular Data
• A Bayesian analysis of directional data using the projected normal distribution
• Rao-Blackwellisation of sampling schemes
• Projected Multivariate Linear Models for Directional Data
• Bayesian Measures of Model Complexity and Fit
• Bayesian Density Estimation and Inference Using Mixtures
• Spherical regression
• Deviance information criteria for missing data models
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