Study on the Extended Doguwa's Estimator of Summary Statistic J

摘要

G, F and J are three popular summary statistics in point processes which are often G F J used as test statistics in statistical analyses and inferences. Edge-effects are unavoidable when we estimate summary statistics in point patterns which are realizations of point processes in bounded windows. Three representative estimators of G and F were extended to J by Wu Xiao-kun (2006) where bias, sample variances and envelops were compared. Powers based on estimators of J function were compared in this paper, combining with Wu Xiao-kun (2006), a conclusion can be drawn that the extended Doguwa's estimator of J has some advantages over the other two compared in this paper in the view of simulation. So, the extended work is effective and we can put the extended Doguwa's estimator of J into statistical inference in practice.