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Asymptotic normality of triad counts in random digraphs

Nowicki, Krzysztof LU (1989) In Communications in Statistics. Stochastic Models 5(2). p.163-180
Abstract
Triad counts for directed graphs are represented as numerators of incomplete U-statistics with symmetric or asymmetric kernels. Asymptotic normality for the simultaneous distribution of all triad counts is proved. Applications are given to investigations of inconsistency in tournaments and reliability of communication networks.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
communication networks, tournaments, incomplete U-statistics, Random digraphs, triad counts
in
Communications in Statistics. Stochastic Models
volume
5
issue
2
pages
163 - 180
publisher
Taylor & Francis
external identifiers
  • scopus:84935941417
ISSN
0882-0287
DOI
10.1080/15326348908807104
language
English
LU publication?
yes
id
6625594a-ce88-41a6-91c1-644c605adeff (old id 1781997)
date added to LUP
2011-02-03 17:16:14
date last changed
2017-01-01 07:01:02
@article{6625594a-ce88-41a6-91c1-644c605adeff,
  abstract     = {Triad counts for directed graphs are represented as numerators of incomplete U-statistics with symmetric or asymmetric kernels. Asymptotic normality for the simultaneous distribution of all triad counts is proved. Applications are given to investigations of inconsistency in tournaments and reliability of communication networks.},
  author       = {Nowicki, Krzysztof},
  issn         = {0882-0287},
  keyword      = {communication networks,tournaments,incomplete U-statistics,Random digraphs,triad counts},
  language     = {eng},
  number       = {2},
  pages        = {163--180},
  publisher    = {Taylor & Francis},
  series       = {Communications in Statistics. Stochastic Models},
  title        = {Asymptotic normality of triad counts in random digraphs},
  url          = {http://dx.doi.org/10.1080/15326348908807104},
  volume       = {5},
  year         = {1989},
}