Short distances, flat triangles and Poisson limits-Reference-Cited by-同舟云学术

Short distances, flat triangles and Poisson limits

Published:1978-12 Issue:04 Volume:15 Page:815-825
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

Author:

Silverman Bernard,Brown Tim

Abstract

Motivated by problems in the analysis of spatial data, we prove some general Poisson limit theorems for the U-statistics of Hoeffding (1948). The theorems are applied to tests of clustering or collinearities in plane data; nearest neighbour distances are also considered.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference8 articles.

1. Poisson limits for a clustering model of strauss

2. A Martingale Approach to the Poisson Convergence of Simple Point Processes

3. Martingale convergence to infinitely divisible laws with finite variances

4. Limit theorems for dissociated random variables

5. Two Applications of a Poisson Approximation for Dependent Events

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