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The seminal Bradley-Terry model exhibits transitivity, i.e., the property that the probabilities of player A beating B and B beating C give the probability of A beating C, with these probabilities determined by a skill parameter for each…

Methodology · Statistics 2025-04-10 Jess Spearing , Jonathan Tawn , David Irons , Tim Paulden

Data analytics in sports is crucial to evaluate the performance of single players and the whole team. The literature proposes a number of tools for both offence and defence scenarios. Data coming from tracking location of players, in this…

Applications · Statistics 2019-06-28 Tullio Facchinetti , Rodolfo Metulini , Paola Zuccolotto

Standard measures of batting performance such as a batting average and an on-base percentage can be decomposed into component rates such as strikeout rates and home run rates. The likelihood of hitting data for a group of players can be…

Applications · Statistics 2015-06-26 Jim Albert

Multiplayer Online Battle Arena (MOBA) is one of the most successful game genres. MOBA games such as League of Legends have competitive environments where players race for their rank. In most MOBA games, a player's rank is determined by the…

Machine Learning · Computer Science 2022-07-22 Junho Jang , Ji Young Woo , Huy Kang Kim

Over the last few decades, the player recruitment process in professional football has evolved into a multi-billion industry and has thus become of vital importance. To gain insights into the general level of their candidate reinforcements,…

Machine Learning · Statistics 2018-09-17 Bart Aalbers , Jan Van Haaren

The advent of machine learning models that surpass human decision-making ability in complex domains has initiated a movement towards building AI systems that interact with humans. Many building blocks are essential for this activity, with a…

Artificial Intelligence · Computer Science 2022-08-03 Reid McIlroy-Young , Russell Wang , Siddhartha Sen , Jon Kleinberg , Ashton Anderson

Although orientation has proven to be a key skill of soccer players in order to succeed in a broad spectrum of plays, body orientation is a yet-little-explored area in sports analytics' research. Despite being an inherently ambiguous…

Computer Vision and Pattern Recognition · Computer Science 2020-05-20 Adrià Arbués-Sangüesa , Adrián Martín , Javier Fernández , Carlos Rodríguez , Gloria Haro , Coloma Ballester

Quantitative measures of randomness in games are useful for game design and have implications for gambling law. We treat the outcome of a game as a random variable and derive a closed-form expression and estimator for the variance in the…

Other Statistics · Statistics 2020-09-11 Alex Cloud , Eric Laber

Traditional approaches -- such as Win Probability Added (WPA)-based ranking or computer vision-driven event detection -- can identify scoring plays but often miss strategic depth, momentum shifts, and storyline progression. Manual curation…

Computation and Language · Computer Science 2025-06-04 Jeonghun Kang , Soonmok Kwon , Joonseok Lee , Byung-Hak Kim

Recent advances in deep learning have led to more studies to enhance golfers' shot precision. However, these existing studies have not quantitatively established the relationship between swing posture and ball trajectory, limiting their…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Seunghyeon Jung , Seoyoung Hong , Jiwoo Jeong , Seungwon Jeong , Jaerim Choi , Hoki Kim , Woojin Lee

How often can we expect a Major League Baseball team to score at least 20 runs in a single game? Considered a rare event in baseball, the outcome of scoring at least 20 runs in a game has occurred 224 times during regular season games since…

Applications · Statistics 2010-11-10 Michael R. Huber , Rodney X. Sturdivant

Humans are routinely asked to evaluate the performance of other individuals, separating success from failure and affecting outcomes from science to education and sports. Yet, in many contexts, the metrics driving the human evaluation…

Physics and Society · Physics 2017-12-07 Luca Pappalardo , Paolo Cintia , Dino Pedreschi , Fosca Giannotti , Albert-Laszlo Barabasi

To which degree can abstract gameplay metrics capture the player experience in a general fashion within a game genre? In this comprehensive study we address this question across three different videogame genres: racing, shooter, and…

Human-Computer Interaction · Computer Science 2021-10-05 David Melhart , Antonios Liapis , Georgios N. Yannakakis

Soccer is undeniably the most popular sport world-wide and everyone from general managers and coaching staff to fans and media are interested in evaluating players' performance. Metrics applied successfully in other sports, such as the…

Applications · Statistics 2020-12-04 Konstantinos Pelechrinis , Wayne Winston

Change of direction is a key element of player movement in American football, yet there remains a lack of objective approaches for in-game performance evaluation of this athletic trait. Using tracking data, we propose a Bayesian…

Applications · Statistics 2025-07-09 Quang Nguyen , Ronald Yurko

League of Legends (LoL) has been a dominant esport for a decade, yet the inherent complexity of the game has stymied the creation of analytical measures of player skill and performance. Current industry standards are limited to…

Applications · Statistics 2024-05-07 Amy X. Zhang , Parth Naidu

A valuation for a player in a game in extensive form is an assignment of numeric values to the players moves. The valuation reflects the desirability moves. We assume a myopic player, who chooses a move with the highest valuation.…

Machine Learning · Computer Science 2007-05-23 Philippe Jehiel , Dov Samet

As 3-point shooting in the NBA continues to increase, the importance of perimeter defense has never been greater. Perimeter defenders are often evaluated by their ability to tightly contest shots, but how exactly does contesting a jump shot…

Applications · Statistics 2019-05-03 Luke Bornn , Daniel Daly-Grafstein

Recent measurement technologies enable us to analyze baseball at higher levels. There are, however, still many unclear points around the pitching strategy. The two elements make it difficult to measure the effect of pitching strategy.…

Applications · Statistics 2022-08-09 Hiroshi Nakahara , Kazuya Takeda , Keisuke Fujii

Football forecasting models traditionally rate teams on past match results, that is based on the number of goals scored. Goals, however, involve a high element of chance and thus past results often do not reflect the performances of the…

Applications · Statistics 2021-01-07 Edward Wheatcroft , Ewelina Sienkiewicz
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