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Distance Distributions in Finite Uniformly Random Point Processes

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Let points be uniformly randomly distributed in a -dimensional ball of radius , centered at the origin. This Demonstration plots the distribution (pdf) of the distance to the nearest neighbor from the origin for such a point process. The mean and variance values of the distance are also provided.

Contributed by: Sunil Srinivasa and Martin Haenggi (March 2011)
Open content licensed under CC BY-NC-SA

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For more information, see S. Srinivasa and M. Haenggi, "Distance Distributions in Finite Uniformly Random Networks: Theory and Applications''.

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