Introducing Results Associated with Poisson Approximations for the Ewens Sampling Formula with Large Parameters

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Bibliographic Information

Other Title
  • 2つのパラメータが大きいときのEwens抽出公式に対するポアソン近似に関する結果の紹介

Description

<p>From the viewpoint of Poisson approximations, we introduce properties of the Ewens sam pling formula based on the paper Tsukuda (2019, The Annals of Applied Probability 29, no. 2, 1188–1232). The Ewens sampling formula is a basic distribution of random partitions, and has two parameters n ∈ ℕ and θ > 0. In this paper, considering a n-dimensional random variable Cn = (C1n, ..., Cnn) following the Ewens sampling formula, we focus on asymptotic properties of its b-dimensional marginal Cbn = (C1n, ..., Cbn) (b = 1, 2, ...) and the sum Kn = ∑i=1nCin when two parameters simultaneously increase.</p>

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Details 詳細情報について

  • CRID
    1390860322100657408
  • DOI
    10.11329/jjssj.53.205
  • ISSN
    21891478
    03895602
  • Text Lang
    ja
  • Data Source
    • JaLC
  • Abstract License Flag
    Disallowed

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