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This letter provides exact characterization of the contact and nearest-neighbor distance distributions for the n-dimensional (n-D) Mate&#x0301;rn 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.

ieee wireless communications letters

On the Contact and Nearest-Neighbor Distance Distributions for the <inline-formula> <tex-math notation="LaTeX">${n}$ </tex-math></inline-formula>-Dimensional Mat&#x00E9;rn Cluster Process

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