Large Deviations for Dirichlet Processes and Poisson-Dirichlet Distribution with Two Parameters
نویسندگان
چکیده
منابع مشابه
Large deviations for Dirichlet processes and Poisson-Dirichlet distribution with two parameters
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 paramete...
متن کاملLarge deviations for Dirichlet processes and Poisson-Dirichlet distributions with two parameters
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 twoparameter models and their one-parameter counterparts. New insight is obtained about the role of the second parameter...
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Poisson-Dirichlet distribution arises in many different areas. The parameter θ in the distribution is the scaled mutation rate of a population in the context of population genetics. The limiting procedure of θ approaching infinity is practically motivated and has led to new interesting mathematical structures. Results of law of large numbers, fluctuation theorems and large deviations have been ...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2007
ISSN: 1083-6489
DOI: 10.1214/ejp.v12-417