Monte carlo estimates of the distributions of the random polygons determined by random lines in a plane
- 1 January 1976
- journal article
- research article
- Published by Taylor & Francis in Journal of Statistical Computation and Simulation
- Vol. 4 (4) , 293-325
- https://doi.org/10.1080/00949657608810132
Abstract
The results of a Monte Carlo study of the random polygons determined by homogeneous and isotropic random limes in the plane (the standard passion line process) are presented. The study involved the generation and mensuration by computer of nearly 200,000 polygonsKeywords
This publication has 7 references indexed in Scilit:
- The various aggregates of random polygons determined by random lines in a planeAdvances in Mathematics, 1973
- Ensembles fermés aléatoires, ensembles semi-markoviens et polyèdres poissoniensAdvances in Applied Probability, 1972
- Poisson flats in Euclidean spaces Part II: Homogeneous Poisson flats and the complementary theoremAdvances in Applied Probability, 1971
- On the homogeneous planar Poisson point processMathematical Biosciences, 1970
- RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE, IIProceedings of the National Academy of Sciences, 1964
- AVERAGES FOR POLYGONS FORMED BY RANDOM LINESProceedings of the National Academy of Sciences, 1964
- Random Distribution of Lines in a PlaneReviews of Modern Physics, 1945