- Bayesian Anal. (2017), 18 pages.
Some Aspects of Symmetric Gamma Process Mixtures
In this article, we present some specific aspects of symmetric Gamma process mixtures for use in regression models. First we propose a new Gibbs sampler for simulating the posterior. The algorithm is tested on two examples, the mean regression problem with normal errors, and the reconstruction of two dimensional CT images. In a second time, we establish posterior rates of convergence related to the mean regression problem with normal errors. For location-scale and location-modulation mixtures the rates are adaptive over Hölder classes, and in the case of location-modulation mixtures are nearly optimal.
Bayesian Anal. (2017), 18 pages.
First available in Project Euclid: 7 October 2017
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Digital Object Identifier
Naulet, Zacharie; Barat, Éric. Some Aspects of Symmetric Gamma Process Mixtures. Bayesian Anal., advance publication, 7 October 2017. doi:10.1214/17-BA1058. https://projecteuclid.org/euclid.ba/1507341640
- Some aspects of symmetric Gamma process mixtures: Supplementary material.