Variance bounds for disc-polygons

Abstract

We prove asymptotic lower bounds on the variance of the number of vertices and missed area of random disc-polygons in convex discs whose boundary is $C_{+}^2$ smooth. The established lower bounds are of the same order as the upper bounds proved previously by Fodor and V\'ıgh (2018).

References in corpus (1)

• Variance estimates for random disc-polygons in smooth convex discs

Cited by in corpus (1)

• A central limit theorem for random disc-polygons in smooth convex discs