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We consider the task of determining the number of chances a soccer team creates, along with the composite nature of each chance-the players involved and the locations on the pitch of the assist and the chance. We propose an interpretable…

Applications · Statistics 2018-02-26 Gavin A. Whitaker , Ricardo Silva , Daniel Edwards

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

We describe the probability theory behind a casino game, blackjack, and the procedure to compute the optimal strategy for a deck of arbitrary cards and player's expected win given that he follows the optimal strategy. The exact blackjack…

Optimization and Control · Mathematics 2007-05-23 Jarek Solowiej

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

Traditional interpretations of probability, whether frequentist or subjective, make no reference to the concept of energy. In this paper, we propose that assigning hypothetical energy levels to the outcomes of a random variable can yield…

Physics and Society · Physics 2025-05-29 Yair Neuman , Yochai Cohen

The established language for statistical testing --- significance levels, power, and p-values --- is overly complicated and deceptively conclusive. Even teachers of statistics and scientists who use statistics misinterpret the results of…

Statistics Theory · Mathematics 2019-10-23 Glenn Shafer

Fantasy Premier League (FPL) performance predictors tend to base their algorithms purely on historical statistical data. The main problems with this approach is that external factors such as injuries, managerial decisions and other…

Machine Learning · Computer Science 2019-12-17 Nicholas Bonello , Joeran Beel , Seamus Lawless , Jeremy Debattista

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

Cricket is unarguably one of the most popular sports in the world. Predicting the outcome of a cricket match has become a fundamental problem as we are advancing in the field of machine learning. Multiple researchers have tried to predict…

Artificial Intelligence · Computer Science 2021-08-24 Harsh Mittal , Deepak Rikhari , Jitendra Kumar , Ashutosh Kumar Singh

In Major League Baseball, strategy and planning are major factors in determining the outcome of a game. Previous studies have aided this by building machine learning models for predicting the winning team of any given game. We extend this…

Machine Learning · Computer Science 2025-11-05 Morgan Allen , Paul Savala

Based on NFL game data we try to predict the outcome of a play in multiple different ways. An application of this is the following: by plugging in various play options one could determine the best play for a given situation in real time.…

Machine Learning · Computer Science 2016-01-05 Brendan Teich , Roman Lutz , Valentin Kassarnig

There are at least two ways to interpret numerical degrees of belief in terms of betting: (1) you can offer to bet at the odds defined by the degrees of belief, or (2) you can judge that a strategy for taking advantage of such betting…

Statistics Theory · Mathematics 2010-01-12 Glenn Shafer

Forecasting sporting events encapsulate a compelling intellectual endeavor, underscored by the substantial financial activity of an estimated $80 billion wagered in global sports betting during 2022, a trend that grows yearly. Motivated by…

In all competitions where results are based upon an individual's performance the question of whether the outcome is a consequence of skill or luck arises. We explore this question through an analysis of a large dataset of approximately one…

Physics and Society · Physics 2021-06-09 Joseph D. O'Brien , James P. Gleeson , David J. P. O'Sullivan

The game theory techniques are used to find the equilibrium of a market. Game theory refers to the ways in which strategic interactions among economic agents produce outcomes with respect to the preferences (or utilities) of those agents,…

Computer Science and Game Theory · Computer Science 2012-10-24 Marx Boopathi

An accumulator is a bet that presents a rather unique payout structure, in that it combines multiple bets into a wager that can generate a total payout given by the multiplication of the individual odds of its parts. These potentially…

Artificial Intelligence · Computer Science 2020-04-21 Nassim Dehouche

Sports betting markets are proven real-world laboratories to test theories of asset pricing anomalies and risky behaviour. Using a high-frequency dataset provided directly by a major bookmaker, containing the odds and amounts staked…

General Economics · Economics 2022-11-14 Marius Ötting , Christian Deutscher , Carl Singleton , Luca De Angelis

This paper employs a Skellam process to represent real-time betting odds for English Premier League (EPL) soccer games. Given a matrix of market odds on all possible score outcomes, we estimate the expected scoring rates for each team. The…

Applications · Statistics 2017-04-03 Guanhao Feng , Nicholas G. Polson , Jianeng Xu

Accurately predicting the outcome of sporting events has been a goal for many groups who seek to maximize profit. What makes this challenging is that the outcome of an event can be influenced by many factors that dynamically change across…

Applications · Statistics 2017-10-23 Erik J. Schlicht

We show that the Brier game of prediction is mixable and find the optimal learning rate and substitution function for it. The resulting prediction algorithm is applied to predict results of football and tennis matches. The theoretical…

Machine Learning · Computer Science 2009-11-02 Vladimir Vovk , Fedor Zhdanov