Series expansions for random disc-polygons in smooth plane convex bodies

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY

Journal of Applied Probability Pub Date : 2024-05-16 DOI:10.1017/jpr.2024.27

F. Fodor, Nicolás A. Montenegro Pinzón

引用次数: 0

Abstract

We establish power-series expansions for the asymptotic expectations of the vertex number and missed area of random disc-polygons in planar convex bodies with $C^{k+1}_+$ -smooth boundaries. These results extend asymptotic formulas proved in Fodor et al. (2014).

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光滑平面凸体中随机圆盘多边形的序列展开

我们为具有 $C^{k+1}_+$ 平滑边界的平面凸体中随机圆盘多边形的顶点数和遗漏面积的渐近期望建立了幂级数展开。这些结果扩展了 Fodor 等人（2014 年）证明的渐近公式。

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

Journal of Applied Probability 数学-统计学与概率论

CiteScore

1.50

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Journal of Applied Probability is the oldest journal devoted to the publication of research in the field of applied probability. It is an international journal published by the Applied Probability Trust, and it serves as a companion publication to the Advances in Applied Probability. Its wide audience includes leading researchers across the entire spectrum of applied probability, including biosciences applications, operations research, telecommunications, computer science, engineering, epidemiology, financial mathematics, the physical and social sciences, and any field where stochastic modeling is used. A submission to Applied Probability represents a submission that may, at the Editor-in-Chief’s discretion, appear in either the Journal of Applied Probability or the Advances in Applied Probability. Typically, shorter papers appear in the Journal, with longer contributions appearing in the Advances.