Large Deviations for Dirichlet Processes and Poisson-Dirichlet Distribution with Two Parameters

Shui Feng
2007 Electronic Journal of Probability  
Large deviation principles are established for the two-parameter Poisson-Dirichlet distribution and two-parameter Dirichlet process when parameter θ 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 α through a comparison with the corresponding results for the one-parameter Poisson-Dirichlet
more » ... on-Dirichlet distribution and Dirichlet process.
doi:10.1214/ejp.v12-417 fatcat:yu3eehool5fjtlpzeunn7ntaba