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Asymptotic Poisson Distributions with Applications to Statistical Analysis of Graphs

På svenska

Author

Summary, in English

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

Publishing year

1988

Language

English

Pages

315-330

Publication/Series

Advances in Applied Probability

Volume

20

Issue

2

Document type

Journal article

Publisher

Applied Probability Trust

Topic

  • Probability Theory and Statistics

Keywords

  • Poisson limit theorems
  • dissociated random variables
  • incomplete U-statistics
  • random graphs and digraphs
  • subgraph counts

Status

Published

ISBN/ISSN/Other

  • ISSN: 0001-8678