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• W2792319506 abstract "Consider a population of individuals belonging to an infinity number of types, and assume that type proportions follow the Poisson-Dirichlet distribution with parameter α ∈ [0,1) and 𝜃 > −α. Given a sample of size n from the population, two important statistics are the number Kn of different types in the sample, and the number Ml,n of different types with frequency l in the sample. We establish moderate deviation principles for (Kn)n≥ 1 and (Ml,n)n≥ 1. Corresponding rate functions are explicitly identified, which help in revealing a critical scale and in understanding the exact role of the parameters α and 𝜃." @default.
• W2792319506 created "2018-03-29" @default.
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• W2792319506 date "2018-02-02" @default.
• W2792319506 modified "2023-09-27" @default.
• W2792319506 title "Moderate Deviations for Ewens-Pitman Sampling Models" @default.
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• W2792319506 doi "https://doi.org/10.1007/s13171-018-0124-z" @default.
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