Poisson Kernel-Based Clustering on the Sphere: Convergence Properties, Identifiability, and a Method of Sampling

DOI10.1080/10618600.2020.1740713OpenAlexW3012350136MaRDI QIDQ5066746

Mojgan Golzy, Marianthi Markatou

Publication date: 30 March 2022

Published in: Journal of Computational and Graphical Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04485

zbMATH Keywords

Poisson kernelidentifiabilitydirectional datamixture modelsrejection samplingexit distribution

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (3)

QuadratiK ⋮ Efficient sampling from the PKBD distribution ⋮ Consecutive ratios in second-order linear recurrence sequences

Uses Software

• mclust
• R
• Silhouettes
• movMF

Cites Work

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• An elliptically symmetric angular Gaussian distribution
• Estimating the Number of Clusters in a Data Set Via the Gap Statistic
• Kernel density estimation with spherical data
• Exact risk improvement of bandwidth selectors for kernel density estimation with directional data
• Silhouettes: a graphical aid to the interpretation and validation of cluster analysis
• Feature weighting in \(k\)-means clustering
• A non-parametric method to estimate the number of clusters
• The multivariate Watson distribution: maximum-likelihood estimation and other aspects
• On conjugate families and Jeffreys priors for von Mises-Fisher distributions
• An extended family of circular distributions related to wrapped Cauchy distributions via Brownian motion
• Some properties of a Cauchy family on the sphere derived from the Möbius transformations
• On maximum likelihood estimation of the concentration parameter of von Mises-Fisher distributions
• Estimation and model selection for model-based clustering with the conditional classification likelihood
• Statistical analysis on high-dimensional spheres and shape spaces
• Model-based clustering
• Harmonic Function Theory
• Cauchy Families of Directional Distributions Closed Under Location and Scale Transformations
• Model-based clustering on the unit sphere with an illustration using gene expression profiles
• Model-Based Gaussian and Non-Gaussian Clustering
• Model-Based Clustering, Discriminant Analysis, and Density Estimation
• 10.1162/1532443041827943
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Identifiability of Finite Mixtures of Elliptical Distributions
• On the Identifiability of Finite Mixtures
• On the Shape of the Angular Case of Cauchy's Distribution Curves
• Concept decompositions for large sparse text data using clustering

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