Asymptotic theory of sparse Bradley-Terry model

DOI10.1214/20-AAP1564zbMath1457.60044MaRDI QIDQ2657948

Kani Chen, Ruijian Han, Chunxi Tan, Rougang Ye

Publication date: 18 March 2021

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aoap/1600157081

zbMATH Keywords

asymptotic normalitymaximum likelihood estimationsparsityBradley-Terry modeluniform consistency

Mathematics Subject Classification ID

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)

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Asymptotics in the Thurstone model with an increasing items ⋮ A General Pairwise Comparison Model for Extremely Sparse Networks

Cites Work

• Asymptotics when the number of parameters tends to infinity in the Bradley-Terry model for paired comparisons
• Approximating the inverse of a symmetric positive definite matrix
• Sparse paired comparisons in the Bradley-Terry model
• Solution of a Ranking Problem from Binary Comparisons
• Whole-History Rating: A Bayesian Rating System for Players of Time-Varying Strength
• Probability Inequalities for Sums of Bounded Random Variables
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
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