We consider the Voronoi tessellation induced by a homogeneous and stationary Poisson point process of intensity λ>0 in a quadrant, where the two half-axes represent boundaries. We show that the mean cell size is less than λ−1 when the seed is located exactly at the boundary, and it can be larger than λ−1 when the seed lies close to the boundary. In addition, we calculate the second moment of th...
