Isolated nearest neighbors-Reference-Cited by-同舟云学术

Isolated nearest neighbors

Published:1982-06 Issue:2 Volume:19 Page:444-449
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Pickard David K.

Abstract

For point processes, a pair of points is isolated if each is the nearest neighbor of the other, and its degree of isolation is the relative distance to the next-nearest point. The frequency with which such pairs occur and the distribution of their degree of isolation are obtained for Poisson processes in ℝv. Similar results are obtained for some related models, incidentally solving a problem proposed by D. P. Shine.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference4 articles.

1. Birds on a wire, Problem 650;Shine;J. Recreational Math.,1978

2. Results of Competition 10;Shine;Omni Magazine,1980

3. Solution to Problem 650;Herbert;J. Recreational Math.,1979

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