Parameter estimation and model-based clustering with spherical normal distribution on the unit hypersphere

DOI10.1016/j.csda.2022.107457OpenAlexW3167057002WikidataQ114191850 ScholiaQ114191850MaRDI QIDQ2129606

Changhee Suh, Kisung You

Publication date: 22 April 2022

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

Full work available at URL: https://arxiv.org/abs/2106.06375

zbMATH Keywords

parameter estimationmodel-based clusteringdirectional statisticsspherical normal distribution

Mathematics Subject Classification ID

Statistics (62-XX)

Uses Software

• R
• DEoptim
• HSAUR
• ElemStatLearn
• movMF
• BRENT
• MBCbook
• PRMLT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonparametric Bayes classification and hypothesis testing on manifolds
• Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
• Estimating the dimension of a model
• Maximum likelihood estimators for the matrix von Mises-Fisher and Bingham distributions
• Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces
• Unifying the derivations for the Akaike and corrected Akaike information criteria.
• Riemannian geometric statistics in medical image analysis
• A short note on parameter approximation for von Mises-Fisher distributions: and a fast implementation of \(I_{s}(x)\)
• How to conjugate C\(^1\)-close group actions
• Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis
• On the Convergence of Gradient Descent for Finding the Riemannian Center of Mass
• Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity
• Computing Forward-Difference Intervals for Numerical Optimization
• Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence
• 10.1162/153244303321897735
• Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
• Nonparametric Inference on Manifolds
• Model-Based Clustering and Classification for Data Science
• Dispersion on a Sphere
• Concept decompositions for large sparse text data using clustering
• A new look at the statistical model identification

This page was built for publication: Parameter estimation and model-based clustering with spherical normal distribution on the unit hypersphere