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Monte Carlo Confidence Bounds for Inter‐Event and Nearest Neighbour Distribution Functions of Random Points in a Square
Author(s) -
Koen Chris
Publication year - 1990
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710320508
Subject(s) - mathematics , nearest neighbour , monte carlo method , square (algebra) , range (aeronautics) , statistics , distribution (mathematics) , confidence interval , combinatorics , event (particle physics) , statistical physics , mathematical analysis , computer science , physics , geometry , artificial intelligence , composite material , materials science , quantum mechanics
Random distributions of N points in a square were simulated by computer, interpoint and nearest neighbour distances were calculated and corresponding distribution functions found. The results of 1000 repetitions of this process were used to find approximate 90, 95 and 99 % confidence bounds for the distribution functions. Calculations were performed in the range N = 10 to N = 350. Results are given in tabular form.