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A common problem faced in statistical inference is drawing conclusions from paired comparisons, in which two objects compete and one is declared the victor. A probabilistic approach to such a problem is the Bradley-Terry model, first…

Applications · Statistics 2017-12-19 Gabriel C. Phelan , John T. Whelan

Evaluating sports players based on their performance shares core challenges with evaluating healthcare providers based on patient outcomes. Drawing on recent advances in healthcare provider profiling, we cast sports player evaluation within…

Applications · Statistics 2026-02-27 Herbert P. Susmann , Antonio D'Alessandro

This study employs Bayesian methodologies to explore the influence of player or positional factors in predicting the probability of a shot resulting in a goal, measured by the expected goals (xG) metric. Utilising publicly available data…

Applications · Statistics 2025-01-14 Alexander Scholtes , Oktay Karakuş

Shot charts in basketball analytics provide an indispensable tool for evaluating players' shooting performance by visually representing the distribution of field goal attempts across different court locations. However, conventional methods…

Methodology · Statistics 2025-05-16 Luca Scrucca , Dimitris Karlis

Superstars often dominate key tasks because of their exceptional abilities, but this concentration of responsibility may unintentionally limit on-the-job learning opportunities for others. Using panel data from Major League Baseball (MLB),…

General Economics · Economics 2025-11-11 Masaya Nishihata

Systemic and idiosyncratic patterns in pitching mechanics of 24 top starting pitchers in Major League Baseball (MLB) are extracted and discovered from PITCHf/x database. These evolving patterns across different pitchers or seasons are…

Applications · Statistics 2018-01-30 Fushing Hsieh , Kevin Fujii , Tania Roy , Cho-Jui Hsieh , Brenda McCowan

Although machine learning (ML)-based performance outcome prediction is an important topic in contemporary sports science, one important issue is the limited understanding of the cross-individual generalizability of ML models in sports…

Human-Computer Interaction · Computer Science 2026-05-08 Ryota Takamido , Chiharu Suzuki , Hiroki Nakamoto

The Bradley-Terry model has previously been used in both Bayesian and frequentist interpretations to evaluate the strengths of sports teams based on win-loss game results. It has also been extended to handle additional possible results such…

Applications · Statistics 2023-01-10 John T. Whelan , Jacob E. Klein

A physical model is developed, which suggests a pathway to determining the optimal release conditions for a basketball free throw. Theoretical framework is supported by Monte Carlo simulations and a series of free throws performed and…

Popular Physics · Physics 2017-02-24 Irina Barzykina

Goals are results of pin-point shots and it is a pivotal decision in soccer when, how and where to shoot. The main contribution of this study is two-fold. At first, after showing that there exists high spatial correlation in the data of…

Applications · Statistics 2021-04-08 Soudeep Deb , Debangan Dey

The purpose of this research is to create a machine learning-based smart coaching approach for football that can replace manual analysis with real-time feedback for trainers. In-depth analysis of football player data by humans is…

Signal Processing · Electrical Eng. & Systems 2023-02-08 Rahman Sahinler , Omer Burak Goktas , Berkay Mumcu , Damla Sen , Feyza Kocaturk , Huseyin Uvet

Athletic performance follows a typical pattern of improvement and decline during a career. This pattern is also often observed within-seasons, as an athlete aims for their performance to peak at key events such as the Olympic Games or World…

Applications · Statistics 2026-01-12 M. Spyropoulou , J. G. Hopker , J. E. Griffin

In the high-stakes world of baseball, every nuance of a pitcher's mechanics holds the key to maximizing performance and minimizing runs. Traditional analysis methods often rely on pre-recorded offline numerical data, hindering their…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Jerrin Bright , Bavesh Balaji , Yuhao Chen , David A Clausi , John S Zelek

The speed-accuracy tradeoffs are prevalent in a wide range of physical systems. In this paper, we demonstrate speed-accuracy tradeoffs in the game of cricket, where 'batters' score runs on the balls bowled by the 'bowlers'. It is shown that…

Physics and Society · Physics 2025-12-17 Mohd Suhail Rizvi

Cricket, "a Gentleman's Game", is a prominent sport rising worldwide. Due to the rising competitiveness of the sport, players and team management have become more professional with their approach. Prior studies predicted individual…

Machine Learning · Computer Science 2023-02-23 Ahmad Al Asad , Kazi Nishat Anwar , Ilhum Zia Chowdhury , Akif Azam , Tarif Ashraf , Tanvir Rahman

We present an algorithm for learning the intrinsic value of a batted ball in baseball. This work addresses the fundamental problem of separating the value of a batted ball at contact from factors such as the defense, weather, and ballpark…

Applications · Statistics 2016-03-02 Glenn Healey

Within baseball analytics, there is substantial interest in comprehensive statistics intended to capture overall player performance. One such measure is Wins Above Replacement (WAR), which aggregates the contributions of a player in each…

Applications · Statistics 2015-03-25 Benjamin S. Baumer , Shane T. Jensen , Gregory J. Matthews

The prevailing belief propagated by NBA league observers is that the workload of the NBA season dramatically influences a player's performance$^{1,2,3,4,5}$. We offer an analysis of cross game player fatigue that calls into question the…

Applications · Statistics 2021-12-30 Austin Stephen , Matthew Yep , Grace Fain

Discussions on outstanding---positively and/or negatively---athletes are common practice. The rapidly grown amount of collected sports data now allow to support such discussions with state of the art statistical methodology. Given a…

Applications · Statistics 2011-10-11 Manuel J. A. Eugster

Transmission line outage rates are fundamental to power system reliability analysis. Line outages are infrequent, occurring only about once a year, so outage data are limited. We propose a Bayesian hierarchical model that leverages line…

Applications · Statistics 2020-01-24 Kai Zhou , James R. Cruise , Chris J. Dent , Ian Dobson , Louis Wehenkel , Zhaoyu Wang , Amy L. Wilson