Dependencies in Stochastic Geometry - A Simulation Study

Abstract

The background of sliced inverse regression with applications in stochastic models dependent on a multidimensional Gaussian random field is presented in the paper. In particular, Voronoi tessellation is repeatedly generated by Poisson point process with intensity being a function of the random field.

Then the point, fibre or surface process of the tessellation generators, edges or faces, respectively, is studied.

Keywords

• Sliced inverse regression
• Poisson-Voronoi tessellation
• Gaussian random field