On certain random polygons of large areas. (1998)

• Record Type: Journal Article
• Authors: Kovalenko, Igor N.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 11:Number 3(1998)
• Page Start: 369
• Page End: 376
• Publication Date: 1998
• Subjects: stochastic geometry -- random set(s) -- random Tessela- tion -- point process(es); Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953398000306
• Languages: English
• ISSNs: 1048-9533

Abstract

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 + c 0 A 1 6 } < M ( A ) < exp { − 2 A / π + c 1 A 1 6 } is established for large A, where c 0 > 2.096, c 1 > 6.36 .