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Random variate transformations in the Gibbs sampler: issues of efficiency and convergence

✍ Scribed by Petros Dellaportas


Publisher
Springer US
Year
1995
Tongue
English
Weight
692 KB
Volume
5
Category
Article
ISSN
0960-3174

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✦ Synopsis


In the non-conjugate Gibbs sampler, the required sampling from the full conditional densities needs the adoption of black-box sampling methods. Recent suggestions include rejection sampling, adaptive rejection sampling, generalized ratio of uniforms, and the Griddy-Gibbs sampler. This paper describes a general idea based on variate transformations which can be tailored in all the above methods and increase the Gibbs sampler efficiency. Moreover, a simple technique to assess convergence is suggested and illustrative examples are presented.