On the Contact and Nearest-Neighbor Distance Distributions for the n-Dimensional Matern Cluster Process

Kaushlendra Pandey; Harpreet S. Dhillon; Abhishek K. Gupta

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arXiv · 1909.11422

On the Contact and Nearest-Neighbor Distance Distributions for the n-Dimensional Matern Cluster Process

Kaushlendra Pandey·Harpreet S. Dhillon·Abhishek K. Gupta

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Abstract

This letter provides exact characterization of the contact and nearest-neighbor distance distributions for the n dimensional (n-D) Matern 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.

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Kaushlendra Pandey, Harpreet S. Dhillon, Abhishek K. Gupta. 2019-09-25. On the Contact and Nearest-Neighbor Distance Distributions for the n-Dimensional Matern Cluster Process. https://arxiv.org/abs/1909.11422

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