Detection of spatial pattern through independence of thinned processes
概率论
2011-11-10 v1
摘要
Let N, N' and N'' be point processes such that N' is obtained from N by homogeneous independent thinning and N''= N- N'. We give a new elementary proof that N' and N'' are independent if and only if N is a Poisson point process. We present some applications of this result to test if a homogeneous point process is a Poisson point process.
引用
@article{arxiv.math/0103104,
title = {Detection of spatial pattern through independence of thinned processes},
author = {Renato M. Assuncao and Pablo A. Ferrari},
journal= {arXiv preprint arXiv:math/0103104},
year = {2011}
}
备注
11 pages, one figure