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In recent years, great emphasis has been placed on the prediction of association football. Due to this, several studies have proposed different types of statistical models to predict the outcome of a football match. However, most existing…

Methodology · Statistics 2025-08-11 Roberto Macrì-Demartino , Leonardo Egidi , Nicola Torelli

With the development of measurement technology, data on the movements of actual games in various sports can be obtained and used for planning and evaluating the tactics and strategy. Defense in team sports is generally difficult to be…

Artificial Intelligence · Computer Science 2022-05-10 Kosuke Toda , Masakiyo Teranishi , Keisuke Kushiro , Keisuke Fujii

We present a novel framework for predicting next actions in soccer possessions by leveraging path signatures to encode their complex spatio-temporal structure. Unlike existing approaches, we do not rely on fixed historical windows and…

Machine Learning · Statistics 2025-08-19 David Hirnschall , Robert Bajons

In this paper, Poisson time series models are considered to describe the number of field goals made by a basketball team or player at both the game (within-season) and the minute (within-game) level. To deal with the existence of temporal…

Applications · Statistics 2023-04-05 Álvaro Briz-Redón

In many sports, it is commonly believed that the home team has an advantage over the visiting team, known as the home field advantage. Yet its causal effect on team performance is largely unknown. In this paper, we propose a novel causal…

Applications · Statistics 2025-08-18 Chen Wang , Katherine Price , Hengrui Cai , Weining Shen , Zhanrui Cai , Guanyu Hu

We investigated the temporal distribution of goals in soccer using event-level data from 3,433 matches across 21 leagues and competitions. Contrary to the prevailing notion of randomness, we found that the probability of a goal being scored…

In this paper, we present betting strategy of a football game using probability theory. We know all betting houses offer slightly unfair odds towards the player. Here we discuss a simple way to figure out which betting house is offering…

Applications · Statistics 2017-06-07 Kanika Saha , Ananya Lahiri

We analyse the distributions of the number of goals scored by home teams, away teams, and the total scored in the match, in domestic football games from 169 countries between 1999 and 2001. The probability density functions (PDFs) of goals…

Statistical Mechanics · Physics 2009-11-07 J. Greenhough , P. C. Birch , S. C. Chapman , G. Rowlands

Volleyball is a team sport with unique and specific characteristics. We introduce a new two level-hierarchical Bayesian model which accounts for theses volleyball specific characteristics. In the first level, we model the set outcome with a…

Applications · Statistics 2020-04-16 Leonardo Egidi , Ioannis Ntzoufras

Change of direction is a key element of player movement in American football, yet there remains a lack of objective approaches for in-game performance evaluation of this athletic trait. Using tracking data, we propose a Bayesian…

Applications · Statistics 2025-07-09 Quang Nguyen , Ronald Yurko

Composing a team of professional players is among the most crucial decisions in association football. Nevertheless, transfer market decisions are often based on myopic objectives and are questionable from a financial point of view. This…

Optimization and Control · Mathematics 2020-10-06 Giovanni Pantuso , Lars Magnus Hvattum

Injuries have a great impact on professional soccer, due to their large influence on team performance and the considerable costs of rehabilitation for players. Existing studies in the literature provide just a preliminary understanding of…

Machine Learning · Statistics 2018-11-06 Alessio Rossi , Luca Pappalardo , Paolo Cintia , Marcello Iaia , Javier Fernandez , Daniel Medina

Although basketball is a dynamic process sport, with 5 plus 5 players competing on both offense and defense simultaneously, learning some static information is predominant for professional players, coaches and team mangers. In order to have…

Applications · Statistics 2021-04-05 Guanyu Hu , Hou-Cheng Yang , Yishu Xue , Dipak K. Dey

The paper presents a plus-minus rating for use in association football (soccer). We first describe the standard plus-minus methodology as used in basketball and ice-hockey and then adapt it for use in soccer. The usual goal-differential…

Applications · Statistics 2017-06-16 Tarak Kharrat , Javier López Peña , Ian McHale

In the domain of the Soccer simulation 2D league of the RoboCup project, appropriate player positioning against a given opponent team is an important factor of soccer team performance. This work proposes a model which decides the strategy…

Artificial Intelligence · Computer Science 2016-06-06 Jordan Henrio , Thomas Henn , Tomoharu Nakashima , Hidehisa Akiyama

One of the most important and challenging problems in football is predicting future player performance when transferred to another club within and between different leagues. In addition to being the most valuable prediction a team makes, it…

Machine Learning · Computer Science 2022-01-28 Daniel Dinsdale , Joe Gallagher

In sports analytics, player tracking data have driven significant advancements in the task of player evaluation. We present a novel generative framework for evaluating the observed frame-by-frame player positioning against a distribution of…

Applications · Statistics 2026-03-24 Quang Nguyen , Ronald Yurko

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,…

Applications · Statistics 2018-06-14 Andreas Groll , Christophe Ley , Gunther Schauberger , Hans Van Eetvelde

In this paper a new heuristic optimization algorithm has been introduced based on the performance of the major football leagues within each season in EU countries. The algorithm starts with an initial population including three different…

Artificial Intelligence · Computer Science 2014-06-18 Erfan Khaji

The success of a football team depends on various individual skills and performances of the selected players as well as how cohesively they perform. We propose a two-stage process for selecting optimal playing eleven of a football team from…

Applications · Statistics 2023-04-14 Soudeep Deb , Shubhabrata Das