Asymptotics when the number of parameters tends to infinity in the Bradley-Terry model for paired comparisons
From MaRDI portal
Publication:1568310
DOI10.1214/aos/1018031267zbMath0951.62061OpenAlexW1569736542MaRDI QIDQ1568310
Publication date: 3 January 2001
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1018031267
consistencycentral limit theoremmaximum likelihood estimatorFisher information matrixBradley-Terry model
Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Paired and multiple comparisons; multiple testing (62J15)
Related Items (19)
On negative dependence inequalities and maximal scores in round-robin tournaments ⋮ MM algorithms for generalized Bradley-Terry models. ⋮ Asymptotic theory of sparse Bradley-Terry model ⋮ Asymptotics in the Thurstone model with an increasing items ⋮ Time‐varying β‐model for dynamic directed networks ⋮ A General Pairwise Comparison Model for Extremely Sparse Networks ⋮ Asymptotic theory in network models with covariates and a growing number of node parameters ⋮ Bivariate gamma model ⋮ Learning the distribution of latent variables in paired comparison models with round-robin scheduling ⋮ Random graphs with a given degree sequence ⋮ Ties in one block comparison experiments: a generalization of the Mallows–Bradley–Terry ranking model ⋮ Unnamed Item ⋮ Asymptotics in directed exponential random graph models with an increasing bi-degree sequence ⋮ Ranking in the generalized Bradley–Terry models when the strong connection condition fails ⋮ Statistical Inference in a Directed Network Model With Covariates ⋮ Unnamed Item ⋮ A 2-dimensional extension of the Bradley--Terry model for paired comparisons ⋮ Matrix estimation by universal singular value thresholding ⋮ Models for paired comparison data: a review with emphasis on dependent data
Cites Work
- Asymptotic behavior of M-estimators of p regression parameters when \(p^ 2/n\) is large. I. Consistency
- Asymptotic behavior of M estimators of p regression parameters when \(p^ 2/n\) is large. II: Normal approximation
- Asymptotic behavior of likelihood methods for exponential families when the number of parameters tends to infinity
- Approximating the inverse of a symmetric positive definite matrix
- Solution of a Ranking Problem from Binary Comparisons
- The Ranking of Incomplete Tournaments: A Mathematician's Guide to Popular Sports
- Representation and uniqueness of the Bradley-Terry-Luce model for pair comparisons
- Probability Inequalities for Sums of Bounded Random Variables
- Pairwise Comparison and Ranking in Tournaments
- Consistent Estimates Based on Partially Consistent Observations
- Incomplete Block Rank Analysis: On the Appropriateness of the Model for a Method of Paired Comparisons
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Asymptotics when the number of parameters tends to infinity in the Bradley-Terry model for paired comparisons
