Testing the Zonal Stationarity of Spatial Point Processes: Applied to prostate tissues and trees locations
Applications
2017-01-31 v1
Abstract
We consider the problem of testing the stationarity and isotropy of a spatial point pattern based on the concept of local spectra. Using a logarithmic transformation, the mechanism of the proposed test is approximately identical to a simple two factor analysis of variance procedure when the variance of residuals is known. This procedure is also used for testing the stationarity in neighborhood of a particular point of the window of observation. The same idea is used in post-hoc tests to cluster the point pattern into stationary and nonstationary sub-windows. The performance of the proposed method is examined via a simulation study and applied in a practical data.
Keywords
Cite
@article{arxiv.1701.08365,
title = {Testing the Zonal Stationarity of Spatial Point Processes: Applied to prostate tissues and trees locations},
author = {Azam Saadatjouy and Ali R. Taheriyoun and Mohammad Q. Vahidi-Asl},
journal= {arXiv preprint arXiv:1701.08365},
year = {2017}
}