Efficient sampling from the PKBD distribution

DOI10.1214/23-ejs2149OpenAlexW4387271827MaRDI QIDQ6184874

Lukas Sablica, Josef Leydold, Kurt Hornik

Publication date: 5 January 2024

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

Full work available at URL: https://projecteuclid.org/journals/electronic-journal-of-statistics/volume-17/issue-2/Efficient-sampling-from-the-PKBD-distribution/10.1214/23-EJS2149.full

zbMATH Keywords

samplingsimulationPoisson kernelspherical distributionsrejection samplingPKBD distribution

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• A New Unified Approach for the Simulation of a Wide Class of Directional Distributions
• Transformed density rejection with inflection points
• 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
• Amos-type bounds for modified Bessel function ratios
• Investigation of parameter uncertainty in clustering using a Gaussian mixture model via jackknife, bootstrap and weighted likelihood bootstrap
• Computer Generation of Distributions on the m-Sphere
• A family of distributions on the m-sphere and some hypothesis tests
• Adaptive Rejection Sampling for Gibbs Sampling
• Poisson Kernel-Based Clustering on the Sphere: Convergence Properties, Identifiability, and a Method of Sampling
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