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In this paper, we describe an approach to rank sport players based on their efficiency. Although is extremely useful to analyze the performance of team games there is no unanimity on the use of a single index to perform such a ranking. We…

Optimization and Control · Mathematics 2018-02-21 Víctor Blanco , Román Salmerón , Samuel Gómez-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

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…

Applications · Statistics 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…

Applications · Statistics 2024-05-22 Carlos Rafael Gonzalez Soffner , Manuele Leonelli

Previous work on fantasy basketball quantifies player value for category leagues without taking draft circumstances into account. Quantifying value in this way is convenient, but inherently limited as a strategy, because it precludes the…

Methodology · Statistics 2024-09-17 Zach Rosenof

This article describes an application of three well-known statistical methods in the field of game-tree search: using a large number of classified Othello positions, feature weights for evaluation functions with a game-phase-independent…

Artificial Intelligence · Computer Science 2014-11-17 M. Buro

Traditional NBA player evaluation metrics are based on scoring differential or some pace-adjusted linear combination of box score statistics like points, rebounds, assists, etc. These measures treat performances with the outcome of the game…

Applications · Statistics 2023-09-21 Sameer K. Deshpande , Shane T. Jensen

Technological advances have paved the way for collecting high-resolution network data in basketball, football, and other team-based sports. Such data consist of interactions among players of competing teams indexed by space and time.…

Applications · Statistics 2024-02-14 Nicholas Grieshop , Yong Feng , Guanyu Hu , Michael Schweinberger

Sports data analytics is a relevant topic in applied statistics that has been growing in importance in recent years. In basketball, a player or team has a hot hand when their performance during a match is better than expected or they are on…

Applications · Statistics 2025-12-02 Gabriel Calvo , Carmen Armero , Luigi Spezia

We analyse a mathematical model of seeding for sports contests with round-robin qualifying tournaments. The standard seeding system based on coefficients measuring the historical performance of the teams is shown to be unfair as it might…

Physics and Society · Physics 2023-07-14 László Csató

This paper studies competitions with rank-based reward among a large number of teams. Within each sizable team, we consider a mean-field contribution game in which each team member contributes to the jump intensity of a common Poisson…

Computer Science and Game Theory · Computer Science 2021-05-18 Xiang Yu , Yuchong Zhang , Zhou Zhou

Game theory has been increasingly applied in settings where the game is not known outright, but has to be estimated by sampling. For example, meta-games that arise in multi-agent evaluation can only be accessed by running a succession of…

Multiagent Systems · Computer Science 2021-01-25 Tabish Rashid , Cheng Zhang , Kamil Ciosek

Qualifications for several world championships in sports are organised such that distinct sets of teams play in their own tournament for a predetermined number of slots. Inspired by a recent work studying the problem with the tools from the…

General Economics · Economics 2025-01-07 László Csató , László Marcell Kiss , Zsombor Szádoczki

In this article, we proposed a new probability distribution named as power Maxwell distribution (PMaD). It is another extension of Maxwell distribution (MaD) which would lead more flexibility to analyze the data with non-monotone failure…

Applications · Statistics 2018-07-04 Abhimanyu Singh Yadav , Hassan S. Bakouch , Sanjay Kumar Singh , Umesh Singh

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

Assessing the degree of the child's body building optimal for obtaining performance in the practiced sport can be done by reporting the individual developing model to the typological models considered optimal for the requirements of each…

Medical Physics · Physics 2009-03-10 Tiberiu Marius Karnyanszky , Corina Musuroi , Carla Amira Karnyanszky

The non-scientific event of a soccer match is analysed on a strictly scientific level. The analysis is based on the recently introduced concept of a team fitness (Eur. Phys. J. B 67, 445, 2009) and requires the use of finite-size scaling. A…

Data Analysis, Statistics and Probability · Physics 2010-03-03 Andreas Heuer , Christian Mueller , Oliver Rubner

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

The rankability of data is a recently proposed problem that considers the ability of a dataset, represented as a graph, to produce a meaningful ranking of the items it contains. To study this concept, a number of rankability measures have…

Combinatorics · Mathematics 2022-03-15 Nathan McJames , David Malone , Oliver Mason

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