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The use of statistical methods in sport analytics has gained a rapidly growing interest over the last decade, and nowadays is common practice. In particular, the interest in understanding and predicting an athlete's performance throughout…

统计方法学 · 统计学 2021-01-21 Patric Dolmeta , Raffaele Argiento , Silvia Montagna

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…

应用统计 · 统计学 2026-01-12 M. Spyropoulou , J. G. Hopker , J. E. Griffin

Because the decathlon tests many facets of athleticism, including sprinting, throwing, jumping, and endurance, many consider it to be the ultimate test of athletic ability. On this view, estimating the maximal decathlon score and…

应用统计 · 统计学 2026-05-06 Paul-Hieu V. Nguyen , James M. Smoliga , Benton Lindaman , Sameer K. Deshpande

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

In recent years, great emphasis has been placed on the prediction of association football. Due to this, several studies have proposed different types of statistical models to predict the outcome of a football match. However, most existing…

统计方法学 · 统计学 2025-08-11 Roberto Macrì-Demartino , Leonardo Egidi , Nicola Torelli

This paper explores the concept of "momentum" in sports competitions through the use of the TOPSIS model and 0-1 logistic regression model. First, the TOPSIS model is employed to evaluate the performance of two tennis players, with…

计量经济学 · 经济学 2024-09-05 Mingpu Ma

Graphical models are powerful tools for capturing conditional dependence structures in complex systems but remain underexplored in analyzing ordinal data, especially in sports analytics. Ordinal variables, such as team rankings, player…

统计方法学 · 统计学 2025-12-05 Wang Wen , Ziqi Chen , Guanyu Hu

Inspired by applications in sports where the skill of players or teams competing against each other varies over time, we propose a probabilistic model of pairwise-comparison outcomes that can capture a wide range of time dynamics. We…

机器学习 · 统计学 2019-05-20 Lucas Maystre , Victor Kristof , Matthias Grossglauser

Predicting outcomes in sports is important for teams, leagues, bettors, media, and fans. Given the growing amount of player tracking data, sports analytics models are increasingly utilizing spatially-derived features built upon player…

机器学习 · 计算机科学 2022-07-29 Peter Xenopoulos , Claudio Silva

A popular quantitative approach to evaluating player performance in sports involves comparing an observed outcome to the expected outcome ignoring player involvement, which is estimated using statistical or machine learning methods. In…

应用统计 · 统计学 2026-05-22 Robert Bajons , Lucas Kook

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…

应用统计 · 统计学 2017-11-23 Michael J. Lopez , Gregory J. Matthews , Benjamin S. Baumer

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…

应用统计 · 统计学 2024-11-05 Manuele Leonelli

Adaptive dynamics describes a deterministic approximation of the evolution of scalar- and function-valued traits. Applying it to the team game developed by Menden-Deuer and Rowlett [Menden-Deuer & Rowlett 2019], we constructed an…

动力系统 · 数学 2024-01-31 Carl-Joar Karlsson , Philip Gerlee , Julie Rowlett

Any collection can be ranked. Sports and games are common examples of ranked systems: players and teams are constantly ranked using different methods. The statistical properties of rankings have been studied for almost a century in a…

社会与信息网络 · 计算机科学 2026-02-04 José Antonio Morales , Jorge Flores , Carlos Gershenson , Carlos Pineda

This study proposes a statistically grounded framework for real-time win probability evaluation and player assessment in score-based team sports, based on minute-by-minute cumulative box-score data. We introduce a continuous dominance…

应用统计 · 统计学 2026-02-24 Yasutaka Shimizu , Atsushi Yamanobe

Response times collected in computerised assessments provide information about the underlying response process and may exhibit within-person variation over the course of a test. We propose a latent variable model for log response times that…

统计方法学 · 统计学 2026-05-29 Gabriel Wallin , Nivedita Bhaktha

A hockey player's plus-minus measures the difference between goals scored by and against that player's team while the player was on the ice. This measures only a marginal effect, failing to account for the influence of the others he is…

应用统计 · 统计学 2016-01-27 Robert B. Gramacy , Matt Taddy , Sen Tian

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

This work introduces an online Bayesian game-theoretic method for behavior identification in multi-agent dynamical systems. By casting Hamilton-Jacobi-Bellman optimality conditions as linear-in-parameter residuals, the method enables fast…

系统与控制 · 电气工程与系统科学 2026-01-09 Francesco Bianchin , Robert Lefringhausen , Sandra Hirche

Traditional model-based RL relies on hand-specified or learned models of transition dynamics of the environment. These methods are sample efficient and facilitate learning in the real world but fail to generalize to subtle variations in the…

机器学习 · 计算机科学 2018-12-11 Christian F. Perez , Felipe Petroski Such , Theofanis Karaletsos
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