A double Pólya-Gamma data augmentation scheme for a hierarchical Negative Binomial - Binomial data model

Xuan Ma, Jenný Brynjarsdóttir and Thomas LaFramboise

Computational Statistics & Data Analysis, 2024, vol. 199, issue C

Abstract: A double Pólya-Gamma data augmentation scheme is developed for posterior sampling from a Bayesian hierarchical model of total and categorical count data. The scheme applies to a Negative Binomial - Binomial (NBB) hierarchical regression model with logit links and normal priors on regression coefficients. The approach is shown to be very efficient and in most cases out-performs the Stan program. The hierarchical modeling framework and the Pólya-Gamma data augmentation scheme are applied to human mitochondrial DNA data.

Keywords: Data augmentation; Bayesian hierarchical model; Pólya-Gamma; Mitochondrial DNA data (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:199:y:2024:i:c:s0167947324000938

DOI: 10.1016/j.csda.2024.108009

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