Foredrag af Rasmus Waagepetersen, Aalborg Universitet

Orthogonal series estimation of the pair correlation function of a spatial point process

Tidspunkt

03.05.2017 kl. 14.30 - 15.30

Beskrivelse

Title: Orthogonal series estimation of the pair correlation function of a spatial point process

Abstract: The pair correlation function is a fundamental spatial point process characteristic that, given the intensity function, determines second order moments of the point process. Non-parametric estimation of the pair correlation function is a typical initial step of a statistical analysis of a spatial point pattern. Kernel estimators are popular but especially for clustered point patterns suffer from bias for small spatial lags. In this paper we introduce a new orthogonal series estimator. The new estimator is consistent and asymptotically normal according to our theoretical and simulation results. In our simulations the new estimator outperforms the kernel estimators in particular for Poisson and clustered point processes.

Arrangør

Institut for Matematiske Fag

Adresse

Fredrik Bajers Vej 7G, rum G5-109