kth distance distributions for generalized Gauss-Poisson process in Rn

Kaushlendra Pandey and Abhishek K. Gupta

Statistics & Probability Letters, 2021, vol. 172, issue C

Abstract: For a point process (PP), the kth contact distance refers to the distance of kth closest point from an arbitrary location and the kth nearest neighbor distance refers to the distance of kth nearest neighbor from an arbitrary point of the PP. We consider the generalized n-dimensional Gauss-Poisson process and derive the closed-form expressions for the cumulative distribution functions (CDFs) of these two distances for the general k. We also validate our analysis via numerical simulations and provide various insights using the presented analysis.

Keywords: Stochastic geometry; Generalized Gauss-Poisson process; Distance distributions (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2021.109048

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