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Asymptotic Poisson distributions with applications to statistical analysis of graphs

Published online by Cambridge University Press:  01 July 2016

Krzysztof Nowicki
Krzysztof Nowicki*
Affiliation:
University of Lund
*
∗Postal address: Department of Mathematical Statistics, University of Lund, Box 118, S-22100 Lund, Sweden.
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Abstract

Various types of graph statistics for graphs and digraphs are presented as numerators of incomplete U-statistics, with symmetric and asymmetric kernels, respectively. Thus, asymptotic Poisson limits of these statistics are provided by using limit theorems for the sums of dissociated random variables. Several applications to statistical analysis of graphs are given.

Keywords

RANDOM GRAPHS AND DIGRAPHSSUBGRAPH COUNTSINCOMPLETE U-STATISTICSDISSOCIATED RANDOM VARIABLESPOISSON LIMIT THEOREMS
Type
Research Article
Information
Advances in Applied Probability , Volume 20 , Issue 2 , June 1988 , pp. 315 - 330
Copyright
Copyright © Applied Probability Trust 1988 

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Footnotes

Partial support for this paper was given by the Swedish Council for Research in the Humanities and Social Sciences under contract No. F46/84.

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