Error Bounds for Statistical Estimators in BTL Model with Parametric Multivariate Utility Functions

arXiv:2609.26326 · stat.ML, cs.LG · Submitted 2026-09-22 · Read on arXiv

stat.ML, cs.LG

Submitted: 2026-09-22

Updated: 2026-09-22

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Sample Complexity — 7× in this paper · explained in 15 episodes
• Fisher Information — 4× in this paper · explained in 3 episodes
• Pairwise Comparisons — 4× in this paper · explained in 2 episodes
• Regularization — 4× in this paper · explained in 3 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Hamming Distance — 3× in this paper · explained in 2 episodes
• Minimax optimality — 3× in this paper · explained in 2 episodes
• Aggregation — 2× in this paper · explained in 1 episode
• Core — 2× in this paper · explained in 2 episodes
• Error Decomposition — 2× in this paper · explained in 3 episodes
• Matrix Completion — 2× in this paper · explained in 3 episodes
• Reinforcement Learning — 2× in this paper · explained in 4 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Uncertainty Quantification — 2× in this paper · explained in 8 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adaptation — 1× in this paper · explained in 1 episode
• Additivity — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Parameter Identifiability — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• The existence of maximum likelihood estimates in the Bradley-Terry model and its extensions
• Finite-sample performance of the maximum likelihood estimator in logistic regression
• Ranking from Pairwise Comparisons in General Graphs and Graphs with Locality
• When is it worthwhile to jackknife? Breaking the quadratic barrier for Z-estimators
• When is the estimated propensity score better? High-dimensional analysis and bias correction
• Coordinate-wise Polyhedral Method for Eliciting Multivariate Linear Utility and Univariate Nonlinear Utility Functions
• Modified Polyhedral Method for Elicitation of Shape-Free Utility and Conservatism Reduction in Robust Optimization

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