Abstract. Estimation of the intensity function of spatial point processes is a fundamental problem. In this paper, we interpret the Delaunay tessellation field estimator recently introduced by Schaap and Van de Weygaert as an adaptive kernel estimator and give explicit expressions for the mean and variance. Special attention is paid to Poisson processes.
|Title of host publication||Fifth International Workshop in Applied Probability (IWAP 2010, Madrid, Spain, July 5-8, 2010. Extended abstracts)|
|Publication status||Published - 2010|