So sánh phương pháp

	TrueSkill: Xếp hạng Kỹ năng dựa trên Bayes cho Bảng xếp hạng Cạnh tranh	Mô hình Bradley-Terry	Elo Rating
Lĩnh vực	Ra quyết định	Ra quyết định	Ra quyết định
Họ	Regression model	Regression model	Regression model
Năm ra đời	2007	1952	1978
Người khởi xướng	Ralf Herbrich, Tom Minka & Thore Graepel	Ralph Bradley & Milton Terry	Arpad Elo
Loại	Probabilistic ranking model	Probabilistic paired comparison model	Pairwise comparison ranking model
Công trình gốc	Herbrich, R., Minka, T., & Graepel, T. (2007). TrueSkill: A Bayesian skill rating system. Advances in Neural Information Processing Systems, 19, 569–576.	Bradley, R. A., & Terry, M. E. (1952). Rank analysis of incomplete block designs: I. The method of paired comparisons. Biometrika, 39(3/4), 324–345.	Elo, A. E. (1978). The Rating of Chessplayers, Past and Present. Arco Publishing. ISBN: 978-0-668-04721-0
Tên gọi khác	Bayesian Skill Rating, TrueSkill Ranking System, Gaussian Skill Model, Beceri Derecelendirme Modeli	BT Model, Bradley-Terry-Luce Model, Paired Comparison Model, İkili Karşılaştırma Modeli	Elo Rating System, Elo Chess Rating, Elo Skill Rating, Elo Derecelendirme Sistemi
Liên quan	3	3	2
Tóm tắt	TrueSkill is a Bayesian skill rating system developed by Herbrich, Minka, and Graepel at Microsoft Research and introduced at NeurIPS 2006. It represents each player's skill as a Gaussian distribution parameterized by a mean (estimated skill) and a variance (uncertainty). After each match outcome, the system updates these distributions via approximate message passing, yielding a principled ranking that handles team games, draws, and partial observations in online settings.	The Bradley-Terry model is a probabilistic model for paired comparisons that assigns a latent strength parameter to each item and predicts the probability that one item beats another in a head-to-head contest. Introduced by Ralph A. Bradley and Milton E. Terry in 1952, it provides a principled statistical framework for ranking items from pairwise preference data, including incomplete comparison designs where not every pair is directly observed.	The Elo Rating System is a pairwise comparison-based ranking method developed by Hungarian-American physicist and chess master Arpad Elo and formally published in 1978. Originally designed to assess the relative skill levels of chess players, it assigns each competitor a numerical rating that rises or falls after each encounter based on the expected versus actual outcome. The system assumes that player performance follows a logistic distribution, enabling probabilistic predictions of match results and continuous rating refinement over time.