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• W4386861053 abstract "Abstract In this paper, we construct an approximation to the Pitman–Yor process by truncating its two‐parameter Poisson–Dirichlet representation. The truncation is based on a decreasing sequence of random weights, thus having a lower approximation error compared to the popular truncated stick‐breaking process. We develop an exact simulation algorithm to sample from the approximation process and provide an alternative MCMC algorithm for the parameter regime where the exact simulation algorithm becomes slow. The effectiveness of the simulation algorithms is demonstrated by the estimation of the functionals of a Pitman–Yor process. Then we adapt the approximation process into a Pitman–Yor process mixture model and devise a blocked Gibbs sampler for posterior inference." @default.
• W4386861053 created "2023-09-20" @default.
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• W4386861053 date "2023-09-28" @default.
• W4386861053 modified "2023-10-14" @default.
• W4386861053 title "Truncated two‐parameter <scp>Poisson‐Dirichlet</scp> approximation for <scp>Pitman‐Yor</scp> process hierarchical models" @default.
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• W4386861053 doi "https://doi.org/10.1111/sjos.12688" @default.
• W4386861053 hasPublicationYear "2023" @default.
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