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In this work we study the ranking algorithm used by F\'ed\'eration Internationale de Football Association (FIFA); we analyze the parameters it currently uses, show the formal probabilistic model from which it can be derived, and optimize…

信息检索 · 计算机科学 2022-01-04 Leszek Szczecinski , Iris-Ioana Roatis

Ranking a vector of alternatives on the basis of a series of paired comparisons is a relevant topic in many instances. A popular example is ranking contestants in sport tournaments. To this purpose, paired comparison models such as the…

应用统计 · 统计学 2013-01-15 Guido Masarotto , Cristiano Varin

Machine learning has become a common approach to predicting the outcomes of soccer matches, and the body of literature in this domain has grown substantially in the past decade and a half. This chapter discusses available datasets, the…

机器学习 · 计算机科学 2024-03-13 Rory Bunker , Calvin Yeung , Keisuke Fujii

We present ten different strength-based statistical models that we use to model soccer match outcomes with the aim of producing a new ranking. The models are of four main types: Thurstone-Mosteller, Bradley-Terry, Independent Poisson and…

应用统计 · 统计学 2018-11-15 Christophe Ley , Tom Van de Wiele , Hans Van Eetvelde

Accurate prediction of FIFA World Cup match outcomes holds significant value for analysts, coaches, bettors, and fans. This paper presents a machine learning framework specifically designed to forecast match winners in FIFA World Cup. By…

机器学习 · 计算机科学 2026-01-07 Ali Al-Bustami , Zaid Ghazal

In this work, we compare three different modeling approaches for the scores of soccer matches with regard to their predictive performances based on all matches from the four previous FIFA World Cups 2002 - 2014: Poisson regression models,…

应用统计 · 统计学 2018-06-14 Andreas Groll , Christophe Ley , Gunther Schauberger , Hans Van Eetvelde

PageRank and the Bradley-Terry model are competing approaches to ranking entities such as teams in sports tournaments or journals in citation networks. The Bradley-Terry model is a classical statistical method for ranking based on paired…

统计方法学 · 统计学 2024-02-13 David Antony Selby

Modelling football outcomes has gained increasing attention, in large part due to the potential for making substantial profits. Despite the strong connection existing between football models and the bookmakers' betting odds, no authors have…

应用统计 · 统计学 2018-02-27 Leonardo Egidi , Francesco Pauli , Nicola Torelli

Australian Rules Football is a field invasion game where two teams attempt to score the highest points to win. Complex machine learning algorithms have been developed to predict match outcomes post-game, but their lack of interpretability…

应用统计 · 统计学 2024-05-22 Carlos Rafael Gonzalez Soffner , Manuele Leonelli

We consider the problem of aggregating pairwise comparisons to obtain a consensus ranking order over a collection of objects. We use the popular Bradley-Terry-Luce (BTL) model which allows us to probabilistically describe pairwise…

信息论 · 计算机科学 2019-01-30 Mine Alsan , Ranjitha Prasad , Vincent Y. F. Tan

This paper aims to reduce randomness in football by analysing the role of lineups in final scores using machine learning prediction models we have developed. Football clubs invest millions of dollars on lineups and knowing how individual…

机器学习 · 计算机科学 2023-01-18 George Peters , Diogo Pacheco

The task of ranking individuals or teams, based on a set of comparisons between pairs, arises in various contexts, including sporting competitions and the analysis of dominance hierarchies among animals and humans. Given data on which…

机器学习 · 统计学 2022-10-21 M. E. J. Newman

Traditional statistical inference on ordinal comparison data results in an overall ranking of objects, e.g., from best to worst, with each object having a unique rank. However, ranks of some objects may not be statistically distinguishable.…

统计方法学 · 统计学 2024-08-27 Michael Pearce , Elena A. Erosheva

Prediction and modelling of competitive sports outcomes has received much recent attention, especially from the Bayesian statistics and machine learning communities. In the real world setting of outcome prediction, the seminal \'{E}l\H{o}…

机器学习 · 统计学 2017-01-30 Franz J. Király , Zhaozhi Qian

Predicting the results of soccer matches is of great interest. This is not only due to the popularity of the sport and the joy of private "betting rounds", but also due to the large sports betting market. Where previously expert knowledge…

应用统计 · 统计学 2025-07-09 Mirko Fischer , Andreas Heuer

We compare various extensions of the Bradley-Terry model and a hierarchical Poisson log-linear model in terms of their performance in predicting the outcome of soccer matches (win, draw, or loss). The parameters of the Bradley-Terry…

In this work, a machine learning approach is developed for predicting the outcomes of football matches. The novelty of this research lies in the utilisation of the Kelly Index to first classify matches into categories where each one denotes…

机器学习 · 计算机科学 2022-11-30 Yiming Ren , Teo Susnjak

The rating of items based on pairwise comparisons has been a topic of statistical investigation for many decades. Numerous approaches have been proposed. One of the best known is the Bradley-Terry model. This paper seeks to assemble and…

统计理论 · 数学 2025-08-08 Ian Hamilton , Nick Tawn , David Firth

In this paper we present a novel approach to optimise tactical and strategic decision making in football (soccer). We model the game of football as a multi-stage game which is made up from a Bayesian game to model the pre-match decisions…

人工智能 · 计算机科学 2020-03-24 Ryan Beal , Georgios Chalkiadakis , Timothy J. Norman , Sarvapali D. Ramchurn

This paper deals with the estimation of the unknown distribution of hidden random variables from the observation of pairwise comparisons between these variables. This problem is inspired by recent developments on Bradley-Terry models in…

统计理论 · 数学 2018-08-27 Sylvain Le Corff , Matthieu Lerasle , Elodie Vernet
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