On certain random polygons of large areas

On certain random polygons of large areas

0.00 Avg rating0 Votes
Article ID: iaor19991977
Country: United States
Volume: 11
Issue: 3
Start Page Number: 369
End Page Number: 376
Publication Date: Jul 1998
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors:
Keywords: sets
Abstract:

Consider the tesselation of a plane into convex random polygons determined by a unit intensity Poissonian line process. Let M(A) be the ergodic intensity of random polygons with areas exceeding a value A. A two-sided asymptotic bound exp{–2√(A/π) + c0A1/6} < M(A) < exp{–2√(A/π) + c1A1/6} is established for large A, where c0 > 2.096, c1 < 6.36.

Reviews

Required fields are marked *. Your email address will not be published.