کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642542 1341347 2007 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ewens sampling formulae with and without selection
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Ewens sampling formulae with and without selection
چکیده انگلیسی

We shall first consider the random Dirichlet partitioning of the interval into n   fragments at temperature θ>0.θ>0. Using calculus for Dirichlet integrals, pre-asymptotic versions of the Ewens sampling formulae from finite Dirichlet partitions follow up. From these preliminaries, straightforward proofs of the usual sampling formulae from random proportions with Poisson–Dirichlet (PD)(γ)(PD)(γ) distribution can be obtained, while considering the Kingman limit n↗∞n↗∞, θ↘0θ↘0, with nθ=γ>0nθ=γ>0.In this manuscript, the Gibbs version of the Dirichlet partition with symmetric selection is considered. By use of similar series expansion calculus for Dirichlet integrals, closed-form expressions of Ewens sampling formulae in the presence of selection are obtained; special types of Bell polynomials are shown to be involved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 206, Issue 2, 15 September 2007, Pages 755–773
نویسندگان
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