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- W2020993313 abstract "The distribution of the distance from an arbitrary point to the n th nearest event within a two-dimensional Poisson process is well known and appears frequently in the literature. These and other nearest neighbour distances have often been used for analyses of two-dimensional Poisson processes and other spatial patterns; such analyses may include testing for randomness and the robust estimation of density. In this article nearest neighbour distances are not considered but the related problem of nearest neighbours to nearest neighbours. The probability is found that the m tth nearest neighbour to an arbitrary point within a two-dimensional Poisson process is the k th nearest neighbour to the n th nearest neighbour of the original point. Similar nearest neighbour relationships are also considered. Two possible users are outlined for results obtained." @default.
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- W2020993313 date "1983-06-01" @default.
- W2020993313 modified "2023-09-27" @default.
- W2020993313 title "Nearest neighbours to nearest neighbours" @default.
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- W2020993313 doi "https://doi.org/10.1016/0167-7152(83)90023-8" @default.
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