REAL

Variance estimates for random disc-polygons in smooth convex discs

Fodor, Ferenc and Vígh, Viktor (2018) Variance estimates for random disc-polygons in smooth convex discs. Advances in Applied Probability, 55 (4). ISSN 0001-8678, ESSN: 1475-6064 (In Press)

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Abstract

In this paper we prove asymptotic upper bounds on the variance of the number of vertices and missed area of inscribed random disc-polygons in smooth convex discs whose boundary is C2+. We also consider a circumscribed variant of this probability model in which the convex disc is approximated by the intersection of random circles.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: dr. Viktor Vigh
Date Deposited: 01 Oct 2018 09:49
Last Modified: 31 Jan 2019 00:15
URI: http://real.mtak.hu/id/eprint/86226

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