We frequently need to find the nearest hospital, surgery or supermarket. A map divided into cells, each cell covering the region closest to a particular centre, can assist us in our quest. Such a map ...

We consider the Voronoi diagram generated by n independent and identically distributed ℝd-valued random variables with an arbitrary underlying probability density function f on ℝd, and analyze the ...

The Voronoi estimator may be defined for any location as the inverse of the area of the corresponding Voronoi cell. We investigate the statistical properties of this estimator for the intensity of an ...