Grouped sparse paired comparisons in the Bradley-Terry model
Other Statistics
2012-06-11 v3 Statistics Theory
Applications
Methodology
Statistics Theory
Abstract
In a wide class of paired comparisons, especially in the sports games, in which all subjects are divided into several groups, the intragroup comparisons are dense and the intergroup comparisons are sparse. Typical examples include the NFL regular season. Motivated by these situations, we propose group sparsity for paired comparisons and show the consistency and asymptotical normality of the maximum likelihood estimate in the Bradley-Terry model when the number of parameters goes to infinity in this paper. Simulations are carried out to illustrate the group sparsity and asymptotical results.
Keywords
Cite
@article{arxiv.1111.5110,
title = {Grouped sparse paired comparisons in the Bradley-Terry model},
author = {Ting Yan and Jinfeng Xu and Yaning Yang},
journal= {arXiv preprint arXiv:1111.5110},
year = {2012}
}
Comments
This paper has been withdrawn by the author due to that it needs to be revised greatly