On random disc-polygons in a disc-polygon

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2021-10-23 DOI:10.1214/23-ecp515

F. Fodor, P. Kevei, V. V'igh

引用次数: 1

Abstract

We prove asymptotic formulas for the expectation of the vertex number and missed area of uniform random disc-polygons in convex disc-polygons. Our statements are the $r$-convex analogues of the classical results of R\'enyi and Sulanke (1964) about random polygons in convex polygons.

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在圆盘多边形中的随机圆盘多边形上

证明了均匀随机圆盘多边形在凸圆盘多边形中的顶点数期望和缺失面积期望的渐近公式。我们的陈述是r \ enyi和Sulanke(1964)关于凸多边形中的随机多边形的经典结果的$r$凸类比。

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

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.