Testing the Zonal Stationarity of Spatial Point Processes: Applied to prostate tissues and trees locations

Autor: Saadatjouy, Azam, Taheriyoun, Ali R., Vahidi-Asl, Mohammad Q.
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv