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Central limit theorems for a class of symmetric statistics

Published online by Cambridge University Press:  24 October 2008

N. C. Weber
N. C. Weber
Affiliation:
Department of Mathematical Statistics, University of Sydney, Australia
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Abstract

Motivated by problems in the analysis of spatial data, central limit theorems are developed for U-statistics whose kernels depend on the size of the observed sample. These theorems are then applied to obtain results for the interpoint distance statistic and the large angle statistic.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 94 , Issue 2 , September 1983 , pp. 307 - 313
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

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