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We study a stochastic process that mimics single-game elimination tournaments. In our model, the outcome of each match is stochastic: the weaker player wins with upset probability q<=1/2, and the stronger player wins with probability 1-q.…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , S. Redner , F. Vazquez

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

I address the difficult challenge of measuring the relative influence of competing basketball game strategies, and I apply my analysis to plays resulting in three-point shots. I use a glut of SportVU player tracking data from over 600 NBA…

Applications · Statistics 2017-03-22 Bradley A. Sliz

To analyze the movements and to study the trajectories of players is a crucial need for a team when it looks to improve its chances of winning a match or to understand its performances. State of the art tracking systems now produce…

Applications · Statistics 2016-12-01 Rodolfo Metulini

We propose utilizing match-level suspense and surprise - which capture the entertainment utility created by competitive balance and outcome uncertainty for sports spectators - as alternative policy targets for league organizers and…

General Economics · Economics 2025-06-27 Raphael Flepp , Tim Pawlowski , Travis Richardson

The use of statistical modeling in baseball has received substantial attention recently in both the media and academic community. We focus on a relatively under-explored topic: the use of statistical models for the analysis of fielding…

Applications · Statistics 2009-08-14 Shane T. Jensen , Kenneth E. Shirley , Abraham J. Wyner

This paper develops metrics from a social network perspective that are directly translatable to the outcome of a basketball game. We extend a state-of-the-art multi-resolution stochastic process approach to modeling basketball by modeling…

Applications · Statistics 2019-10-01 Fan Bu , Sonia Xu , Katherine Heller , Alexander Volfovsky

As the most popular sport around the globe, the game of football has recently intrigued much research interest to explore and distill useful and appealing information from the sport. Network science and graph-centric methods have been…

Social and Information Networks · Computer Science 2022-05-24 Yang Li , Gonzalo Mateos

Sports analytics has become both more professional and sophisticated, driven by the growing availability of detailed performance data. This progress enables applications such as match outcome prediction, player scouting, and tactical…

Machine Learning · Computer Science 2025-02-07 Calvin Yeung , Kenjiro Ide , Taiga Someya , Keisuke Fujii

Today's competition between the professional eSports teams is so strong that in-depth analysis of players' performance literally crucial for creating a powerful team. There are two main approaches to such an estimation: obtaining features…

Human-Computer Interaction · Computer Science 2019-08-20 Anton Smerdov , Evgeny Burnaev , Andrey Somov

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

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…

We propose a Bayesian nonparametric matrix clustering approach to analyze the latent heterogeneity structure in the shot selection data collected from professional basketball players in the National Basketball Association (NBA). The…

Methodology · Statistics 2020-10-19 Fan Yin , Guanyu Hu , Weining Shen

Box score statistics in the National Basketball Association are used to measure and evaluate player performance. Some of these statistics are subjective in nature and since box score statistics are recorded by scorekeepers hired by the home…

Applications · Statistics 2019-09-10 Matthew van Bommel , Luke Bornn

We argue for the application of bibliometric indices to quantify the long-term uncertainty of outcome in sports. The Euclidean index is proposed to reward quality over quantity, while the rectangle index can be an appropriate measure of…

Applications · Statistics 2024-12-10 László Csató , Dóra Gréta Petróczy

We present an extensive statistical analysis of the results of all sports competitions in five major sports leagues in England and the United States. We characterize the parity among teams by the variance in the winning fraction from…

Physics and Society · Physics 2007-05-23 E. Ben-Naim , F. Vazquez , S. Redner

In this study, a temporal graph model is designed to model the behavior of collective sports teams based on the networks of player interactions. The main motivation for the model is to integrate the temporal dimension into the analysis of…

Discrete Mathematics · Computer Science 2024-04-03 Quentin Bourgeais , Eric Sanlaville , Rodolphe Charrier , Ludovic Seifert

In-game win probability models, which provide a sports team's likelihood of winning at each point in a game based on historical observations, are becoming increasingly popular. In baseball, basketball and American football, they have become…

Machine Learning · Computer Science 2021-08-16 Pieter Robberechts , Jan Van Haaren , Jesse Davis

Team-based invasion sports such as football, basketball and hockey are similar in the sense that the players are able to move freely around the playing area; and that player and team performance cannot be fully analysed without considering…

Other Computer Science · Computer Science 2017-04-17 Joachim Gudmundsson , Michael Horton

This paper presents CourtMotion, a spatiotemporal modeling framework for analyzing and predicting game events and plays as they develop in professional basketball. Anticipating basketball events requires understanding both physical motion…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Omer Sela , Michael Chertok , Lior Wolf