Large deviations for Dirichlet processes and Poisson-Dirichlet distributions with two parameters

Details Large deviations for Dirichlet processes and Poisson-Dirichlet distributions with two parameters Large deviations for Dirichlet processes and Poisson-Dirichlet distributions with two parameters

2006-11-22

arxiv.org/abs/math/0611706v1

Mathematics

Probability

22 pages

Scientific paper

Large deviation principles are established for the two-parameter Poisson-Dirichlet distribution and two-parameter Dirichlet process when parameter $\theta$ approaches infinity. The motivation for these results is to understand the differences in terms of large deviations between the two-parameter models and their one-parameter counterparts. New insight is obtained about the role of the second parameter $\alpha$ through a comparison with the corresponding results for the one-parameter Poisson-Dirichlet distribution and Dirichlet process.

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