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We exploit a suitable moment-based characterization of the mixture of Poisson distribution for developing Bayesian inference for the unknown size of a finite population whose units are subject to multiple occurrences during an enumeration…

Methodology · Statistics 2018-06-19 Danilo Alunni Fegatelli , Luca Tardella

Analyzing football score data with statistical techniques, we investigate how the not purely random, but highly co-operative nature of the game is reflected in averaged properties such as the probability distributions of scored goals for…

Physics and Society · Physics 2009-04-02 Elmar Bittner , Andreas Nussbaumer , Wolfhard Janke , Martin Weigel

Football forecasting models traditionally rate teams on past match results, that is based on the number of goals scored. Goals, however, involve a high element of chance and thus past results often do not reflect the performances of the…

Applications · Statistics 2021-01-07 Edward Wheatcroft , Ewelina Sienkiewicz

In this paper, we present a new application-focused benchmark dataset and results from a set of baseline Natural Language Processing and Machine Learning models for prediction of match outcomes for games of football (soccer). By doing so we…

Computation and Language · Computer Science 2020-12-09 Ryan Beal , Stuart E. Middleton , Timothy J. Norman , Sarvapali D. Ramchurn

Given a monocular video of a soccer match, this paper presents a computational model to estimate the most feasible pass at any given time. The method leverages offensive player's orientation (plus their location) and opponents' spatial…

Computer Vision and Pattern Recognition · Computer Science 2020-04-16 Adrià Arbués-Sangüesa , Adrián Martín , Javier Fernández , Coloma Ballester , Gloria Haro

Resilience is the ability to positively respond to adversity. It has been studied in psychology for several decades, with focus on how individuals overcome traumata or cope with setbacks and obstacles in their professional career. Research…

Applications · Statistics 2022-05-10 Ralph Stömmer

Expected goals (xG) models estimate the probability that a shot results in a goal from its context (e.g., location, pressure), but they operate only on observed shots. We propose xG+, a possession-level framework that first estimates the…

Applications · Statistics 2026-01-27 Jonathan Pipping-Gamón , Tianshu Feng , R. Paul Sabin

We modeled the dynamics of a soccer match based on a network representation where players are nodes discretely clustered into homogeneous groups. Players were grouped by physical proximity, supported by the intuitive notion that competing…

Social and Information Networks · Computer Science 2021-08-09 Luis Ramada Pereira , Rui J. Lopes , Jorge Louçã , Duarte Araújo , João Ramos

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…

Applications · Statistics 2018-11-15 Christophe Ley , Tom Van de Wiele , Hans Van Eetvelde

Penalties are fraught and game-changing moments in soccer games that teams explicitly prepare for. Consequently, there has been substantial interest in analyzing them in order to provide advice to practitioners. From a data science…

Machine Learning · Computer Science 2025-06-02 Lotte Bransen , Tim Janssen , Jesse Davis

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…

We present a systematic approach to the prediction of soccer matches. First, we show that the information about chances for goals is by far more informative than about the actual results. Second, we present a multivariate regression…

Data Analysis, Statistics and Probability · Physics 2012-07-20 Andreas Heuer , Oliver Rubner

In this paper, we study collective interaction dynamics emerging in the game of football-soccer. To do so, we surveyed a database containing body-sensors traces measured during three professional football matches, where we observed…

Physics and Society · Physics 2021-08-18 A. Chacoma , N. Almeira , J. I. Perotti , O. V. Billoni

We propose a foundation model for soccer, which is able to predict subsequent actions in a soccer match from a given input sequence of actions. As a proof of concept, we train a transformer architecture on three seasons of data from a…

Machine Learning · Computer Science 2024-07-23 Ethan Baron , Daniel Hocevar , Zach Salehe

Complex interactions between two opposing agents frequently occur in domains of machine learning, game theory, and other application domains. Quantitatively analyzing the strategies involved can provide an objective basis for…

Machine Learning · Computer Science 2023-07-28 Calvin C. K. Yeung , Keisuke Fujii

We propose an original model for inferring team strengths using a Markov Random Field, which can be used to generate historical estimates of the offensive and defensive strengths of a team over time. This model was designed to be applied to…

Machine Learning · Statistics 2013-05-10 John Zech , Frank Wood

We have developed a sophisticated statistical model for predicting the hitting performance of Major League baseball players. The Bayesian paradigm provides a principled method for balancing past performance with crucial covariates, such as…

Applications · Statistics 2021-07-21 Shane T. Jensen , Blake McShane , Abraham J. Wyner

In soccer, game context can result in skewing offensive statistics in ways that might misrepresent how well a team has played. For instance, in England's 1-2 loss to France in the 2022 FIFA World Cup quarterfinal, England attempted…

Applications · Statistics 2025-08-07 Andrey Skripnikov , Ahmet Cemek , David Gillman

We propose a bottom-up approach to the study of possession and its outcomes for association football, based on probabilistic finite state automata with transition probabilities described by a Markov process. We show how even a very simple…

Probability · Mathematics 2014-04-01 Javier López Peña

Probabilistic modeling is an effective tool for evaluating team performance and predicting outcomes in sports. However, an important question that hasn't been fully explored is whether these models can reliably reflect actual performance…

Methodology · Statistics 2026-02-18 Sheikh Badar Ud Din Tahir , Leonardo Egidi , Nicola Torelli