Asymptotic normality of triad counts in random digraphs
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1781997
- author
- Nowicki, Krzysztof LU
- organization
- publishing date
- 1989
- 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
- 2016-04-01 16:17:11
- date last changed
- 2021-01-03 03:26:31
@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}}, keywords = {{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}}, doi = {{10.1080/15326348908807104}}, volume = {{5}}, year = {{1989}}, }