On certain random polygons of large areas

Igor N. Kovalenko

International Journal of Stochastic Analysis, 1998, vol. 11, 1-8

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 .

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:535296

DOI: 10.1155/S1048953398000306

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