Geodesic projection of the von Mises-Fisher distribution for projection pursuit of directional data

DOI10.1214/21-EJS1807zbMath1471.62366OpenAlexW3136858696MaRDI QIDQ2044329

Sungkyu Jung

Publication date: 9 August 2021

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

Full work available at URL: https://doi.org/10.1214/21-ejs1807

zbMATH Keywords

Struve functionvon Mises distributionBessel functionprojection index

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Asymptotic distribution theory in statistics (62E20) Statistics on manifolds (62R30)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The use of a common location measure in the invariant coordinate selection and projection pursuit
• Bounds for the ratio of two gamma functions
• Projection pursuit
• Pattern recognition based on scale invariant discriminant functions
• Backward nested descriptors asymptotics with inference on stem cell differentiation
• Barycentric subspace analysis on manifolds
• Kurtosis test of modality for rotationally symmetric distributions on hyperspheres
• Inference for spherical location under high concentration
• Geodesic regression and the theory of least squares on Riemannian manifolds
• Asymptotics of graphical projection pursuit
• Error bounds for the large-argument asymptotic expansions of the Hankel and Bessel functions
• Backwards principal component analysis and principal nested relations
• Statistical analysis on high-dimensional spheres and shape spaces
• Analysis of principal nested spheres
• Small‐sphere distributions for directional data with application to medical imaging
• Exploratory Projection Pursuit
• Limiting behaviour of the von Mises-Fisher distribution
• PEARSON TYPE VII DISTRIBUTIONS ON SPHERES
• Projected Multivariate Linear Models for Directional Data
• Probability
• A Projection Pursuit Algorithm for Exploratory Data Analysis
• Projection pursuit in high dimensions
• Scaled von Mises–Fisher Distributions and Regression Models for Paleomagnetic Directional Data
• Regression Models on Riemannian Symmetric Spaces
• A Family of Symmetric Distributions on the Circle

This page was built for publication: Geodesic projection of the von Mises-Fisher distribution for projection pursuit of directional data