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Data analysis plays an increasingly important role in soccer, offering new ways to evaluate individual and team performance. One specific application is the evaluation of dribbles: one-on-one situations where an attacker attempts to bypass…

计算机视觉与模式识别 · 计算机科学 2025-07-01 Michiel Schepers , Pieter Robberechts , Jan Van Haaren , Jesse Davis

We estimate the effect of playing in one's home country in professional squash using a Bayesian hierarchical model applied to men's and women's Professional Squash Association matches from 2018-2024. The model incorporates players' world…

应用统计 · 统计学 2025-06-12 Philip Greengard , Samer Takriti

In a function that takes its inputs from various players, the effect of a player measures the variation he can cause in the expectation of that function. In this paper we prove a tight upper bound on the number of players with large effect,…

概率论 · 数学 2008-05-06 Ronen Gradwohl , Omer Reingold , Ariel Yadin , Amir Yehudayoff

Bayesian statistics emphasizes the importance of prior distributions, yet finding an appropriate one is practically challenging. When multiple sample results are taken regarding the frequency of the same event, these samples may be…

统计方法学 · 统计学 2024-11-27 Yu-Fu Shen

This article shows how coworker performance affects individual performance evaluation in a teamwork setting at the workplace. We use high-quality data on football matches to measure an important component of individual performance, shooting…

综合经济学 · 经济学 2024-03-25 Enzo Brox , Michael Lechner

The standard mathematical approach to fourth-down decision making in American football is to make the decision that maximizes estimated win probability. Win probability estimates arise from machine learning models fit from historical data.…

应用统计 · 统计学 2025-02-03 Ryan S. Brill , Ronald Yurko , Abraham J. Wyner

This paper introduces and reviews some of the principles and methods used in Bayesian reliability. It specifically discusses methods used in the analysis of success/no-success data and then reminds the reader of a simple Monte Carlo…

统计方法学 · 统计学 2024-06-10 Carsten H. Botts

In competitive sports it is often very hard to quantify the performance. A player to score or overtake may depend on only millesimal of seconds or millimeters. In racquet sports like tennis, table tennis and squash many events will occur in…

音频与语音处理 · 电气工程与系统科学 2018-07-04 Katalin Hajdu-Szucs , Nora Fenyvesi , Jozsef Steger , Gabor Vattay

The problem of evaluating the performance of soccer players is attracting the interest of many companies and the scientific community, thanks to the availability of massive data capturing all the events generated during a match (e.g.,…

The Pythagorean formula is one of the most popular ways to measure the true ability of a team. It is very easy to use, estimating a team's winning percentage from the runs they score and allow. This data is readily available on standings…

历史与综述 · 数学 2014-06-04 Steven J. Miller , Taylor Corcoran , Jennifer Gossels , Victor Luo , Jaclyn Porfilio

This paper reviews and compares popular methods, some old and some very recent, that produce time series having Poisson marginal distributions. The paper begins by narrating ways where time series with Poisson marginal distributions can be…

统计方法学 · 统计学 2023-10-18 Jiajie Kong , Robert Lund

In multi-player card games such as Skat or Bridge, the early stages of the game, such as bidding, game selection, and initial card selection, are often more critical to the success of the play than refined middle- and end-game play. At the…

人工智能 · 计算机科学 2025-12-18 Stefan Edelkamp

Models for human running performances of various complexities and underlying principles have been proposed, often combining data from world record performances and bio-energetic facts of human physiology. Here we present a novel, minimal…

定量方法 · 定量生物学 2019-03-06 Matthew Mulligan , Guillaume Adam , Thorsten Emig

We propose and investigate feasibility of a novel task that consists in finding e-sports talent using multimodal Twitch chat and video stream data. In that, we focus on predicting the ranks of Counter-Strike: Global Offensive (CS:GO) gamers…

机器学习 · 计算机科学 2019-07-04 Anna Belova , Wen He , Ziyi Zhong

The underlying physics of basketball shooting seems to be a straightforward example of the Newtonian mechanics that can easily be traced by numerical methods. However, a human basketball player does not make use of all the possible…

科普物理 · 物理学 2016-10-25 Byeong June Min

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…

物理与社会 · 物理学 2012-01-30 Brian Skinner

Bill James' Pythagorean formula has for decades done an excellent job estimating a baseball team's winning percentage from very little data: if the average runs scored and allowed are denoted respectively by ${\rm RS}$ and ${\rm RA}$, there…

应用统计 · 统计学 2026-02-05 Alexander F. Almeida , Kevin Dayaratna , Steven J. Miller , Andrew K. Yang

The PITCHf/x database has allowed the statistical analysis of of Major League Baseball (MLB) to flourish since its introduction in late 2006. Using PITCHf/x, pitches have been classified by hand, requiring considerable effort, or using…

应用统计 · 统计学 2013-04-08 Michael A. Pane , Samuel L. Ventura , Rebecca C. Steorts , A. C. Thomas

We propose a Bayesian nonparametric matrix clustering approach to analyze the latent heterogeneity structure in the shot selection data collected from professional basketball players in the National Basketball Association (NBA). The…

统计方法学 · 统计学 2020-10-19 Fan Yin , Guanyu Hu , Weining Shen

Consider the problem of modeling memory effects in discrete-state random walks using higher-order Markov chains. This paper explores cross validation and information criteria as proxies for a model's predictive accuracy. Our objective is to…

统计方法学 · 统计学 2019-03-22 Joshua C. Chang