Rates of Poisson convergence for U-statistics-Reference-Cited by-同舟云学术

Rates of Poisson convergence for U-statistics

Published:1979-06 Issue:2 Volume:16 Page:428-432
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Brown T. C.,Silverman B. W.

Abstract

Poisson limit theorems for U-statistics are studied. A general rate of convergence is obtained; this rate is improved for the special case where the U-statistic arises from the consideration of distances between uniformly distributed points in a well-behaved plane region.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference6 articles.

1. Short distances, flat triangles and Poisson limits

2. The Poisson Approximation for Dependent Events

3. The asymptotic distribution of random clumps

4. A General Poisson Approximation Theorem

5. A Class of Statistics with Asymptotically Normal Distribution

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