Non‐parametric Regression for Circular Responses

DOI10.1111/j.1467-9469.2012.00809.xzbMath1328.62240OpenAlexW1920094120WikidataQ61847745 ScholiaQ61847745MaRDI QIDQ4923052

Agnese Panzera, Marco Di Marzio, Charles C. Taylor

Publication date: 5 June 2013

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9469.2012.00809.x

zbMATH Keywords

mixing processesapproximate confidence intervalscircular-circular regressionreal-line-circular regressionvon Mises kernels

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Nonparametric tolerance and confidence regions (62G15)

Related Items (18)

Nonparametric tests for circular regression ⋮ Bayesian tests for circular uniformity ⋮ Goodness-of-fit tests for multiple regression with circular response ⋮ Recent advances in directional statistics ⋮ Nonparametric multiple regression estimation for circular response ⋮ Kernel regression for errors-in-variables problems in the circular domain ⋮ Adaptive warped kernel estimation for nonparametric regression with circular responses ⋮ Analyzing animal escape data with circular nonparametric multimodal regression ⋮ Unnamed Item ⋮ Longitudinal shape analysis by using the spherical coordinates ⋮ Circular local likelihood ⋮ Non-parametric regression for compositional data ⋮ A note on nonparametric estimation of circular conditional densities ⋮ A mixture of linear-linear regression models for a linear-circular regression ⋮ Nonparametric Regression for Spherical Data ⋮ Bayesian nonparametric dynamic state space modeling with circular latent states ⋮ A longitudinal model for shapes through triangulation ⋮ The circular quantile residual

Uses Software

• CircStats
• circular

Cites Work

• Unnamed Item
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• Kernel density estimation on the torus
• Local polynomial regression for circular predictors
• Dependent models for observations which include angular ones
• The analysis of directional time series: Applications to wind speed and direction. (Based on the author's thesis, Univ. of Western Australia in Perth)
• Topics in Circular Statistics
• Statistical Analysis of Circular Data
• Approximation Theorems of Mathematical Statistics
• Using small bias nonparametric density estimators for confidence interval estimation
• A general correlation coefficient for directional data and related regression problems
• Design-adaptive Nonparametric Regression
• Some Angular-Linear Distributions and Related Regression Models
• Local Polynomial Estimation of Regression Functions for Mixing Processes
• A decentred predictor for circular-circular regression
• Circular regression
• Projected Multivariate Linear Models for Directional Data
• A Family of Distributions on the Circle With Links to, and Applications Arising From, Möbius Transformation
• Non‐parametric smoothing and prediction for nonlinear circular time series

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