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This book chapter reviews some of the major principles associated with optimal strategy in basketball. In particular, we consider the principles of allocative efficiency (optimal allocation of shots between offensive options), dynamic…

Physics and Society · Physics 2015-12-18 Brian Skinner , Matthew Goldman

Biathlon is a unique winter sport that combines precision rifle marksmanship with the endurance demands of cross-country skiing. We develop a Bayesian hierarchical model to predict and understand shooting performance using data from the…

Applications · Statistics 2024-11-05 Manuele Leonelli

In this paper, Poisson time series models are considered to describe the number of field goals made by a basketball team or player at both the game (within-season) and the minute (within-game) level. To deal with the existence of temporal…

Applications · Statistics 2023-04-05 Álvaro Briz-Redón

With the NBA's adoption of in-game limb tracking in 2023, Sony's Hawk-Eye system now captures high-resolution, 3D poses of players and the ball 60 times per second. Linking these data to key events opens a new era in NBA analytics. Here, we…

Applications · Statistics 2026-04-30 Jake McGrath , Amanda Glazer , Vanna Bushong , Michelle Nguyen , Kirk Goldsberry

Although basketball is a dynamic process sport, with 5 plus 5 players competing on both offense and defense simultaneously, learning some static information is predominant for professional players, coaches and team mangers. In order to have…

Applications · Statistics 2021-04-05 Guanyu Hu , Hou-Cheng Yang , Yishu Xue , Dipak K. Dey

In this paper, we develop a logistic regression model to estimate the probability that a particular shot in an NHL game will result in a goal, and use the results to evaluate the performance of NHL skaters, goalies, and teams. We weight…

Applications · Statistics 2012-05-09 Brian Macdonald , Craig Lennon , Rodney Sturdivant

We use a simple machine learning model, logistically-weighted regularized linear least squares regression, in order to predict baseball, basketball, football, and hockey games. We do so using only the thirty-year record of which visiting…

Applications · Statistics 2017-05-16 Alexander Dubbs

Market valuations for professional athletes is a difficult problem, given the amount of variability in performance and location from year to year. In the National Basketball Association (NBA), a straightforward way to address this problem…

Machine Learning · Computer Science 2026-03-09 Junhao Su , David Grimsman , Christopher Archibald

Fantasy basketball has a rich underlying mathematical structure which makes optimal drafting strategy unclear. A central issue for category leagues is how to aggregate a player's statistics from all categories into a single number…

Methodology · Statistics 2024-09-10 Zach Rosenof

This study outlines a light gradient boosted model aimed at predicting shot outcomes in the NHL. The model uses the NHL's spatiotemporal data to account for both the skill of shooters and goaltenders. This approach involves isolating and…

Other Computer Science · Computer Science 2025-11-18 J. T. P. Noel

We introduce a compact probabilistic model for two-player and two-team (four-player) squash matches, along with a practical skill-comparison rule derived from point-scoring probabilities. Using recorded shot types and court locations, we…

Applications · Statistics 2025-12-03 Prathamesh Anwekar , Kaushal Kirpekar , Mahesh B , Sainath Bitragunta

Nowadays, it becomes a common practice to capture some data of sports games with devices such as GPS sensors and cameras and then use the data to perform various analyses on sports games, including tactics discovery, similar game retrieval,…

Computational Engineering, Finance, and Science · Computer Science 2024-07-30 Qianru Zhang , Zheng Wang , Cheng Long , Siu-Ming Yiu

In basketball, every time the offense produces a shot opportunity the player with the ball must decide whether the shot is worth taking. In this paper, I explore the question of when a team should shoot and when they should pass up the shot…

Physics and Society · Physics 2012-01-30 Brian Skinner

Even though it might have taken some time, the three-point line ultimately changed the way the game is played as evidenced by the increase in the three-point shot attempts over the years. However, during the last few years we have…

Applications · Statistics 2016-09-13 Konstantinos Pelechrinis

In the domain of Sport Analytics, Global Positioning Systems devices are intensively used as they permit to retrieve players' movements. Team sports' managers and coaches are interested on the relation between players' patterns of movements…

Applications · Statistics 2018-05-08 Rodolfo Metulini

We present a data-driven basketball set play simulation. Given an offensive set play sketch, our method simulates potential scenarios that may occur in the game. The simulation provides coaches and players with insights on how a given set…

Multimedia · Computer Science 2019-10-09 Hsin-Ying Hsieh , Chieh-Yu Chen , Yu-Shuen Wang , Jung-Hong Chuang

Statistical analysis and modeling is becoming increasingly popular for the world's leading organizations, especially for professional NBA teams. Sophisticated methods and models of sport talent evaluation have been created for this purpose.…

Computer Vision and Pattern Recognition · Computer Science 2022-12-14 Andreas Gavros , Foteini Gavrou

We have developed a sophisticated statistical model for predicting the hitting performance of Major League baseball players. The Bayesian paradigm provides a principled method for balancing past performance with crucial covariates, such as…

Applications · Statistics 2021-07-21 Shane T. Jensen , Blake McShane , Abraham J. Wyner

Statistical applications in sports have long centered on how to best separate signal (e.g. team talent) from random noise. However, most of this work has concentrated on a single sport, and the development of meaningful cross-sport…

Applications · Statistics 2017-11-23 Michael J. Lopez , Gregory J. Matthews , Benjamin S. Baumer

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