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In recent years, many different approaches have been proposed to quantify the performances of soccer players. Since player performances are challenging to quantify directly due to the low-scoring nature of soccer, most approaches estimate…

Machine Learning · Computer Science 2021-05-31 Jan Van Haaren

We study the effects of randomness on competitions based on an elementary random process in which there is a finite probability that a weaker team upsets a stronger team. We apply this model to sports leagues and sports tournaments, and…

Physics and Society · Physics 2013-04-02 E. Ben-Naim , N. W. Hengartner , S. Redner , F. Vazquez

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…

Data Analysis, Statistics and Probability · Physics 2007-05-23 E. Ben-Naim , F. Vazquez , S. Redner

The English Premier League is well-known for being not only one of the most popular professional sports leagues in the world, but also one of the toughest competitions to predict. The first purpose of this research was to verify the…

Applications · Statistics 2022-01-05 Quang Nguyen

Shafer (2021) offers a betting perspective on statistical testing which may be useful for foundational debates, given that disputes over such testing continue to be intense. To be helpful for researchers, however, this perspective will need…

Statistics Theory · Mathematics 2021-02-11 Sander Greenland

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

Behavioral experiments on the Ultimatum Game have shown that we human beings have remarkable preference in fair play, contradicting the predictions by the game theory. Most of the existing models seeking for explanations, however, strictly…

Populations and Evolution · Quantitative Biology 2022-12-07 Guozhong Zheng , Jiqiang Zhang , Rizhou Liang , Lin Ma , Li Chen

Information extracted from social media streams has been leveraged to forecast the outcome of a large number of real-world events, from political elections to stock market fluctuations. An increasing amount of studies demonstrates how the…

Social and Information Networks · Computer Science 2017-03-07 Lei Le , Emilio Ferrara , Alessandro Flammini

This paper represents an analysis on the momentum of tennis match. And due to Generalization performance of it, it can be helpful in constructing a system to predict the result of sports game and analyze the performance of player based on…

Machine Learning · Computer Science 2024-04-23 Jingdi Lei , Tianqi Kang , Yuluan Cao , Shiwei Ren

A decision maker observes the evolving state of the world while constantly trying to predict the next state given the history of past states. The ability to benefit from such predictions depends not only on the ability to recognize patters…

Computer Science and Game Theory · Computer Science 2014-09-17 Gilad Bavly , Ron Peretz

This paper explores the concept of "momentum" in sports competitions through the use of the TOPSIS model and 0-1 logistic regression model. First, the TOPSIS model is employed to evaluate the performance of two tennis players, with…

Econometrics · Economics 2024-09-05 Mingpu Ma

In this paper we put forward the viewpoint that the notion of stress testing financial institutions and engineered systems can also be made viable appropos the stress testing an individual's strength of conviction in a probability…

Artificial Intelligence · Computer Science 2020-03-31 Nozer Singpurwalla

Although academic research on the 'hot hand' effect (in particular, in sports, especially in basketball) has been going on for more than 30 years, it still remains a central question in different areas of research whether such an effect…

Applications · Statistics 2019-11-20 Marius Ötting , Andreas Groll

Data visualizations are standard tools for assessing and communicating risks. However, it is not always clear which designs are optimal or how encoding choices might influence risk perception and decision-making. In this paper, we report…

Human-Computer Interaction · Computer Science 2019-10-23 Melanie Bancilhon , Zhengliang Liu , Alvitta Ottley

Estimating win probability is one of the classic modeling tasks of sports analytics. Many widely used win probability estimators use machine learning to fit the relationship between a binary win/loss outcome variable and certain game-state…

Methodology · Statistics 2025-08-21 Ryan S. Brill , Ronald Yurko , Abraham J. Wyner

We consider a large community of individuals who mix strongly and meet in pairs to bet on a coin toss. We investigate the asset distribution of the players involved in this zero-sum repeated game. Our main result is that the asset…

Computer Science and Game Theory · Computer Science 2016-07-13 Romulus Breban

Continuous-time assessments of game outcomes in sports have become increasingly common in the last decade. In American football, only discrete-time estimates of play value were possible, since the most advanced public football datasets were…

Testing by betting has been a cornerstone of the game-theoretic statistics literature. One bets against the null hypothesis, and the accumulated wealth $W_t$ quantifies the evidence against the null hypothesis after $t$ rounds, and the null…

Statistics Theory · Mathematics 2026-05-13 Hongjian Wang , Muriel F. Pérez-Ortiz , Wouter M. Koolen , Aaditya Ramdas

Scoring goals in a soccer match can be interpreted as a stochastic process. In the most simple description of a soccer match one assumes that scoring goals can be described by a constant goal rate for each team, implying simple Poissonian…

Data Analysis, Statistics and Probability · Physics 2012-07-19 Andreas Heuer , Oliver Rubner

Gallice and Monz\'on (2019) present a natural environment that sustains full co-operation in one-shot social dilemmas among a finite number of self-interested agents. They demonstrate that in a sequential public goods game, where agents…

General Economics · Economics 2026-03-13 Chowdhury Mohammad Sakib Anwar , Konstantinos Georgalos
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