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Traditional NBA player evaluation metrics are based on scoring differential or some pace-adjusted linear combination of box score statistics like points, rebounds, assists, etc. These measures treat performances with the outcome of the game…

应用统计 · 统计学 2023-09-21 Sameer K. Deshpande , Shane T. Jensen

Implicit biases occur automatically and unintentionally and are particularly present when we have to make split second decisions. One such situations appears in refereeing, where referees have to make an instantaneous decision on a…

应用统计 · 统计学 2026-03-11 Konstantinos Pelechrinis

In the National Basketball Association (NBA), teams must make choices about which players to acquire, how much to pay them, and other decisions that are fundamentally dependent on player effectiveness. Thus, there is great interest in…

应用统计 · 统计学 2013-01-17 Dapo Omidiran

Box score statistics in the National Basketball Association are used to measure and evaluate player performance. Some of these statistics are subjective in nature and since box score statistics are recorded by scorekeepers hired by the home…

应用统计 · 统计学 2019-09-10 Matthew van Bommel , Luke Bornn

Identifying combinations of players (that is, lineups) in basketball - and other sports - that perform well when they play together is one of the most important tasks in sports analytics. One of the main challenges associated with this task…

机器学习 · 计算机科学 2026-01-22 Christos Petridis , Konstantinos Pelechrinis

Regularized Adjusted Plus-Minus (RAPM) is the standard framework for estimating individual player impact in basketball. Its application requires possession-level stint data -- records of which five players shared the court for each…

应用统计 · 统计学 2026-05-26 Justin Jacobs

A typical approach to quantify the contribution of each player in basketball uses the plus-minus method. The ratings obtained by such a method are estimated using simple regression models and their regularized variants, with response…

应用统计 · 统计学 2024-11-01 Argyro Damoulaki , Ioannis Ntzoufras , Konstantinos Pelechrinis

We present evidence, based on play-by-play data from all 6087 games from the 2006/07--2009/10 seasons of the National Basketball Association (NBA), that basketball scoring is well described by a weakly-biased continuous-time random walk.…

数据分析、统计与概率 · 物理学 2014-07-25 Alan Gabel , S. Redner

Performative prediction characterizes environments where predictive models alter the very data distributions they aim to forecast, triggering complex feedback loops. While prior research treats single-agent and multi-agent performativity as…

机器学习 · 统计学 2026-02-04 Zhixian Zhang , Xiaotian Hou , Linjun Zhang

Runs Batted IN (RBI) records the number of runs a hitter directly drives in during their plate appearances and reflects a batter's ability to convert opportunities into scoring. Because producing runs determines game outcomes, RBI has long…

应用统计 · 统计学 2025-11-26 Wuhuan Deng

This paper studies the relationship between basketball teams' four factors and efficiency ratings as defined by Oliver (2004). The paper introduces an equation showing how a team's four factors in conjunction with its field goal and free…

应用统计 · 统计学 2023-05-23 Jirka Poropudas , Topi Halme

Sports competitions are widely researched in computer and social science, with the goal of understanding how players act under uncertainty. While there is an abundance of computational work on player metrics prediction based on past…

计算与语言 · 计算机科学 2020-07-02 Nadav Oved , Amir Feder , Roi Reichart

Study samples often differ from the target populations of inference and policy decisions in non-random ways. Researchers typically believe that such departures from random sampling -- due to changes in the population over time and space, or…

统计方法学 · 统计学 2023-07-20 Tamara Broderick , Ryan Giordano , Rachael Meager

Evaluating mathematical reasoning in LLMs is constrained by limited benchmark sizes and inherent model stochasticity, yielding high-variance accuracy estimates and unstable rankings across platforms. On difficult problems, an LLM may fail…

机器学习 · 计算机科学 2026-02-04 Zihan Dong , Zhixian Zhang , Yang Zhou , Can Jin , Ruijia Wu , Linjun Zhang

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…

应用统计 · 统计学 2026-04-30 Jake McGrath , Amanda Glazer , Vanna Bushong , Michelle Nguyen , Kirk Goldsberry

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…

应用统计 · 统计学 2026-02-27 Herbert P. Susmann , Antonio D'Alessandro

This paper examines whether increased awareness can affect racial bias and colorism. We exploit a natural experiment arising from the widespread publicity of Price and Wolfers (2010), which served as an external shock, intensifying scrutiny…

综合经济学 · 经济学 2026-01-15 Kenneth Colombe , Alex Krumer , Rosa Lavelle-Hill , Tim Pawlowski

The National Basketball Association (NBA) imposes a player salary cap. It is therefore useful to develop tools to measure the relative realized return of a player's salary given their on court performance. Very few such studies exist,…

综合金融 · 定量金融 2025-06-03 Jackson P. Lautier

Recording of events in National Hockey League rinks is done through the Real Time Scoring System. This system records events such as hits, shots, faceoffs, etc., as part of the play-by-play files that are made publicly available. Several…

应用统计 · 统计学 2014-12-03 Michael Schuckers , Brian Macdonald

Estimating win probability is one of the classic modeling tasks of sports analytics. Many widely used win probability estimators use machine learning to fit the relationship between a binary win/loss outcome variable and certain game-state…

统计方法学 · 统计学 2025-08-21 Ryan S. Brill , Ronald Yurko , Abraham J. Wyner
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