Grouped sparse paired comparisons in the Bradley-Terry model

2011/11/22 by Ting Yan, Yan, Ting, Jinfeng Xu +3 · 1 citation
Economics, Econometrics and Finance · Mathematics · #Applications (stat.AP) #FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME) #Other Statistics (stat.OT) #Spatial and Panel Data Analysis #Statistical Distribution Estimation and Applications #Statistical Methods and Inference #Statistics Theory (math.ST) #math.ST #stat.AP #stat.ME #stat.OT #stat.TH

paper · pdf · doi:10.48550/arxiv.1111.5110

This paper has been withdrawn by the author due to that it needs to be revised greatly

openalex publication_date 2011/11/22 · arxiv created 2012/06/08 · arxiv updated 2012/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• RANK ANALYSIS OF INCOMPLETE BLOCK DESIGNS

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