On edge-corrected probability density function estimators for point processes

FIKSEL (1988) provides an asymptotically unbiased kernel estimator for the density hs (r) of the spherical contact distribution function of stationary and isotropic point processes. This paper proposes alternative estimators of hs (r) for use with regular grid of locations. The existing estimator of hs (r) and the alternatives proposed in this paper are then tested out in a simulation study.