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• W2761041348 abstract "Bayesian hierarchical models are used to share information between related samples and obtain more accurate estimates of sample-level parameters, common structure, and variation between samples. When the parameter of interest is the distribution or density of a continuous variable, a hierarchical model for continuous distributions is required. A number of such models have been described in the literature using extensions of the Dirichlet process and related processes, typically as a distribution on the parameters of a mixing kernel. We propose a new hierarchical model based on the P'olya tree, which allows direct modeling of densities and enjoys some computational advantages over the Dirichlet process. The P'olya tree also allows more flexible modeling of the variation between samples, providing more informed shrinkage and permitting posterior inference on the dispersion function, which quantifies the variation among sample densities. We also show how the model can be extended to cluster samples in situations where the observed samples are believed to have been drawn from several latent populations." @default.
• W2761041348 created "2017-10-20" @default.
• W2761041348 creator A5052832321 @default.
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• W2761041348 date "2017-10-04" @default.
• W2761041348 modified "2023-10-14" @default.
• W2761041348 title "A Bayesian hierarchical model for related densities using Polya trees" @default.
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• W2761041348 doi "https://doi.org/10.48550/arxiv.1710.01702" @default.
• W2761041348 hasPublicationYear "2017" @default.
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