Studies
Scientific background
Evaluating profitability in sports betting using probabilistic models and betting strategies
Pál, J.G. & Bíró, Cs. · 2025
The study LabOfMetrics is built on. It compares six forecasting models (including the in-house Veto and Balance heuristics) and five betting strategies over 539 real matches, with 300,000 model–strategy simulations in total. In the study the Veto + Kelly combination came out best; our later walk-forward research over 50,000+ matches did not confirm this as a durable edge.
Modelling Association Football Scores and Inefficiencies in the Football Betting Market
Dixon, M.J. & Coles, S.G. · 1997
One of the best-known football-statistics papers, which introduces the Poisson-based goal model (with the joint distribution of home/away goal counts) and demonstrates the efficiency gaps of the betting market.
The Wisdom of Crowds in Prediction Markets
Surowiecki, J. · 2004
Shows why betting markets (odds) reflect true probabilities surprisingly accurately, and when they do not. Essential reading for understanding CLV (Closing Line Value).
Using ELO ratings for match result prediction in association football
Hvattum, L.M. & Arntzen, H. · 2010
An Elo-based model for predicting football matches. It examines whether Elo ratings can beat the bookmakers, and under what conditions.
Probabilistic forecasts, calibration and sharpness
Gneiting, T., Balabdaoui, F. & Raftery, A.E. · 2007
A foundational paper on evaluating probabilistic forecasts: calibration (how accurate the probabilities are) vs. sharpness (how “bold” they are). The theoretical background of the Brier Score and Log Loss metrics.
A machine learning framework for sport result prediction
Bunker, R.P. & Thabtah, F. · 2019
A machine-learning framework for predicting sports results: it presents the steps of the learning process and the application of methods (e.g. neural networks) in sports forecasting.
Expected Goals (xG) Methodology in Football
Rathke, A. · 2017
A detailed analysis of the Expected Goals (xG) metric: how it is calculated, what it actually measures, and how it relates to real performance. xG is now a standard metric in football analysis.
The Kelly Criterion in Blackjack, Sports Betting and the Stock Market
Thorp, E.O. · 2008
The practical application of the Kelly criterion in betting. It shows how to optimise stake size to maximise expected winnings while accounting for risk.
Evaluating the effectiveness of betting models
Joseph, A., Fenton, N.E. & Neil, M. · 2006
A Bayesian-network model for football, and a systematic method for evaluating the effectiveness of models. Useful for understanding the trade-off between ROI and calibration.