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Several performance metrics for quantifying the in-game performances of individual football players have been proposed in recent years. Although the majority of the on-the-ball actions during games constitutes of passes, many of the…

Applications · Statistics 2018-10-05 Lotte Bransen , Jan Van Haaren

This paper studies the relationship between basketball teams' four factors and efficiency ratings as defined by Oliver (2004). The paper introduces an equation showing how a team's four factors in conjunction with its field goal and free…

Applications · Statistics 2023-05-23 Jirka Poropudas , Topi Halme

We propose a player rating mechanism for Counter-Strike: Global Offensive (CS ), a popular e-sport, by analyzing players' Plus/Minus values. The Plus/Minus value represents the average point difference between a player's team and the…

Applications · Statistics 2024-09-10 Hongyu Xu , Sarat Moka

Machine learning models have demonstrated remarkable success in sports prediction in the past years, often treating sports prediction as a classification task within the field. This paper introduces new perspectives for analyzing sports…

Machine Learning · Computer Science 2026-03-12 Yuanhong Wu , Isaiah Smith , Tushar Marwah , Michael Schroeter , Mohamed Rahouti , D. Frank Hsu

Previous work on fantasy basketball has established methods for optimizing team construction for head-to-head formats. This has been facilitated by the straightforwardness of calculating the objective function for those formats, given that…

Methodology · Statistics 2025-01-03 Zach Rosenof

Ranking is used in sport leagues to determine a champion and/or to decide on promotion/relegation of teams. Arguably, the best known ranking method relies on scores obtained by cumulating the points associated with the wins and the draws of…

Physics and Society · Physics 2023-03-28 Leszek Szczecinski

In this paper, we develop a logistic regression model to estimate the probability that a particular shot in an NHL game will result in a goal, and use the results to evaluate the performance of NHL skaters, goalies, and teams. We weight…

Applications · Statistics 2012-05-09 Brian Macdonald , Craig Lennon , Rodney Sturdivant

Stochastic optimization algorithms have been successfully applied in several domains to find optimal solutions. Because of the ever-growing complexity of the integrated systems, novel stochastic algorithms are being proposed, which makes…

Artificial Intelligence · Computer Science 2024-06-04 Sowmya Chandrasekaran , Thomas Bartz-Beielstein

This work presents and evaluates the ranking algorithm that has been used by Federation Internationale de Volleyball (FIVB) since 2020. The prominent feature of the FIVB ranking is the use of the probabilistic model, which explicitly…

Machine Learning · Computer Science 2025-05-06 Salma Tenni , Daniel Gomes de Pinho Zanco , Leszek Szczecinski

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

Motivated by the goal of evaluating real-time forecasts of home team win probabilities in the National Basketball Association, we develop new tools for measuring the quality of continuously updated probabilistic forecasts. This includes…

Methodology · Statistics 2020-10-05 Chi-Kuang Yeh , Gregory Rice , Joel A. Dubin

We introduce the Tournament Rank Probability Score (TRPS) as a measure to evaluate and compare pre-tournament predictions, where predictions of the full tournament results are required to be available before the tournament begins. The TRPS…

Applications · Statistics 2019-12-17 Claus Thorn Ekstrøm , Hans Van Eetvelde , Christophe Ley , Ulf Brefeld

Problem definition: Professional sports leagues may be suspended due to various reasons such as the recent COVID-19 pandemic. A critical question the league must address when re-opening is how to appropriately select a subset of the…

Optimization and Control · Mathematics 2024-04-02 Ali Hassanzadeh , Mojtaba Hosseini , John G. Turner

This project aims to assess the performance of various regression models in predicting the performance of hockey players. The measure of performance is chosen to be points scored (sum of goals scored and assists made) by individual players…

Computers and Society · Computer Science 2018-11-08 Shuja Khalid

Scoring rules are widely used to rank athletes in sports and candidates in elections. Each position in each individual ranking is worth a certain number of points; the total sum of points determines the aggregate ranking. The question is…

Computer Science and Game Theory · Computer Science 2022-09-09 Aleksei Y. Kondratev , Egor Ianovski , Alexander S. Nesterov

In team sports, traditional ranking statistics do not allow for the simultaneous evaluation of both individuals and combinations of players. Metrics for individual player rankings often fail to include the interaction effects between groups…

Methodology · Statistics 2025-05-09 Nathaniel Josephs , Elizabeth Upton

Functional depth is used for ranking functional observations from most outlying to most typical. The ranks produced by functional depth have been proposed as the basis for functional classifiers, rank tests, and data visualization…

Methodology · Statistics 2016-11-02 James P. Long , Jianhua Z. Huang

We propose a new mathematical model for the decision-making of players in football (soccer) and the efficiency of the game style. Our approach is based on $4$-networks, which is a mathematical concept that we introduce. The decision of…

General Mathematics · Mathematics 2024-01-31 Brahim Boudine

Competitive online games use rating systems to match players with similar skills to ensure a satisfying experience for players. In this paper, we focus on the importance of addressing different aspects of playing behavior when modeling…

Computer Science and Game Theory · Computer Science 2021-12-09 Arman Dehpanah , Muheeb Faizan Ghori , Jonathan Gemmell , Bamshad Mobasher

Predicting outcomes in sports is important for teams, leagues, bettors, media, and fans. Given the growing amount of player tracking data, sports analytics models are increasingly utilizing spatially-derived features built upon player…

Machine Learning · Computer Science 2022-07-29 Peter Xenopoulos , Claudio Silva
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