On the Contact and Nearest-Neighbor Distance Distributions for the ${n}$ -Dimensional Matérn Cluster Process

This letter provides exact characterization of the contact and nearest-neighbor distance distributions for the n-dimensional (n-D) Matérn cluster process (MCP). We also provide novel upper and lower bounds to these distributions in order to gain useful insights about their behavior. The two and three dimensional versions of these results are directly applicable to the performance analyses of wireless networks modeled as MCP.