The site frequency spectrum for coalescing Brownian motion

IF 1.1 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2024-11-04 DOI:10.1016/j.spa.2024.104521

Yubo Shuai

引用次数: 0

Abstract

Motivated by the goal of understanding the genealogy of a sample from an expanding population in the plane, we consider coalescing Brownian motion on the circle. For this model, we establish a weak law of large numbers for the site frequency spectrum. A parallel result holds for a localized version where the genealogy is modeled by coalescing Brownian motion on the line.

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凝聚布朗运动的场地频谱

为了了解平面上不断扩大的群体中样本的谱系，我们考虑了圆上的凝聚布朗运动。对于这个模型，我们为现场频谱建立了弱大数定律。同样的结果也适用于本地化版本，即通过直线上的凝聚布朗运动来模拟谱系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Stochastic Processes and their Applications 数学-统计学与概率论

CiteScore

2.90

自引率

7.10%

发文量

180

审稿时长

23.6 weeks

期刊介绍： Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.