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- W4285708462 abstract "This letter characterizes the statistics of the contact distance and the nearest neighbor (NN) distance for binomial point processes (BPP) spatially-distributed on spherical surfaces. We consider a setup of $n$ concentric spheres, with each sphere $S_k$ has a radius $r_k$ and $N_k$ points that are uniformly distributed on its surface. For that setup, we obtain the cumulative distribution function (CDF) of the distance to the nearest point from two types o observation points: (i) the observation point is not a part of the point process and located on a concentric sphere with a radius $r_e<r_kforall k$, which corresponds to the contact distance distribution, and (ii) the observation point belongs to the point process, which corresponds to the nearest-neighbor (NN) distance distribution." @default.
- W4285708462 created "2022-07-18" @default.
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- W4285708462 date "2020-05-14" @default.
- W4285708462 modified "2023-09-27" @default.
- W4285708462 title "Nearest Neighbor and Contact Distance Distribution for Binomial Point Process on Spherical Surfaces" @default.
- W4285708462 doi "https://doi.org/10.48550/arxiv.2005.07330" @default.
- W4285708462 hasPublicationYear "2020" @default.
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