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In this paper, we introduce the models of permutations with bias, which are random permutations of a set, biased by some preference values. We present a new parametric test, together with an efficient way to calculate its p-value. The final…

Applications · Statistics 2017-08-02 Giacomo Aletti

Results in contact sports like Rugby are mainly interpreted in terms of the ability and/or luck of teams. But this neglects the important role of the {\em motivation} of players, reflected in the effort exerted in the game. Here we present…

Applications · Statistics 2022-08-30 Federico Fioravanti , Fernando Delbianco , Fernando Tohmé

Elections involving a very large voter population often lead to outcomes that surprise many. This is particularly important for the elections in which results affect the economy of a sizable population. A better prediction of the true…

Computer Science and Game Theory · Computer Science 2018-01-31 Palash Dey , Pravesh K. Kothari , Swaprava Nath

Predicting the results of soccer matches is of great interest. This is not only due to the popularity of the sport and the joy of private "betting rounds", but also due to the large sports betting market. Where previously expert knowledge…

Applications · Statistics 2025-07-09 Mirko Fischer , Andreas Heuer

Prediction and modelling of competitive sports outcomes has received much recent attention, especially from the Bayesian statistics and machine learning communities. In the real world setting of outcome prediction, the seminal \'{E}l\H{o}…

Machine Learning · Statistics 2017-01-30 Franz J. Király , Zhaozhi Qian

We study nondeterministic strategies in parity games with the aim of computing a most permissive winning strategy. Following earlier work, we measure permissiveness in terms of the average number/weight of transitions blocked by the…

Logic in Computer Science · Computer Science 2013-01-14 Patricia Bouyer , Nicolas Markey , Jörg Olschewski , Michael Ummels

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

Esports has emerged as a popular genre for players as well as spectators, supporting a global entertainment industry. Esports analytics has evolved to address the requirement for data-driven feedback, and is focused on cyber-athlete…

Artificial Intelligence · Computer Science 2017-11-20 Victoria Hodge , Sam Devlin , Nick Sephton , Florian Block , Anders Drachen , Peter Cowling

When facing a heavily-favored opponent, an underdog must be willing to assume greater-than-average risk. In statistical language, one would say that an underdog must be willing to adopt a strategy whose outcome has a larger-than-average…

Physics and Society · Physics 2011-11-04 Brian Skinner

In this paper, a new continuous scoring system for soccer is proposed, based on the proportion of time that a team is winning, losing or tied. Several simulations are made applying this technique to complete seasons of different leagues. As…

Applications · Statistics 2018-03-22 Manuel Cruz , Sandra Ramos , Miguel Pinho

We introduce games with probabilistic uncertainty, a natural model for controller synthesis in which the controller observes the state of the system through imprecise sensors that provide correct information about the current state with a…

Computer Science and Game Theory · Computer Science 2012-07-03 Krishnendu Chatterjee , Martin Chmelik , Rupak Majumdar

Volleyball is a team sport with unique and specific characteristics. We introduce a new two level-hierarchical Bayesian model which accounts for theses volleyball specific characteristics. In the first level, we model the set outcome with a…

Applications · Statistics 2020-04-16 Leonardo Egidi , Ioannis Ntzoufras

Existing match classification models in the tournament design literature have two major limitations: a contestant is considered indifferent only if uncertain future results do never affect its prize, and competitive matches are not…

Physics and Society · Physics 2026-01-29 László Csató , András Gyimesi

Ranking athletes by their performance in competitions and tournaments is common in every popular sport and has significant benefits that contribute to both the organization and strategic aspects of competitions. Although rankings are…

Physics and Society · Physics 2025-08-28 Bogdán Asztalos , Boldizsár Balázs , Gergely Palla , Tamás Vicsek

Over the past two decades, Machine Learning (ML) techniques have been increasingly utilized for the purpose of predicting outcomes in sport. In this paper, we provide a review of studies that have used ML for predicting results in team…

Machine Learning · Computer Science 2022-04-19 Rory Bunker , Teo Susnjak

In this paper, we study the problem of learning the skill distribution of a population of agents from observations of pairwise games in a tournament. These games are played among randomly drawn agents from the population. The agents in our…

Machine Learning · Statistics 2020-06-16 Ali Jadbabaie , Anuran Makur , Devavrat Shah

In this research, we examine the capabilities of different mathematical models to accurately predict various levels of the English football pyramid. Existing work has largely focused on top-level play in European leagues; however, our work…

Much of modern society is founded on orchestrating institutions that produce social goods by fostering motivated teams, pitting them against each other, and distributing the fruits of the arms races that ensue. However, even when the…

Physics and Society · Physics 2020-09-23 Adam Sawyer , Seth Frey

Though athletics statistics are abundant, it is a difficult task to quantitatively compare performances from different events of track, field, and road running in a meaningful way. There are several commonly-used methods, but each has its…

Applications · Statistics 2014-08-27 Brian Godsey

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