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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

We propose the nuclear norm penalty as an alternative to the ridge penalty for regularized multinomial regression. This convex relaxation of reduced-rank multinomial regression has the advantage of leveraging underlying structure among the…

Machine Learning · Statistics 2025-06-09 Scott Powers , Trevor Hastie , Robert Tibshirani

I study identification, estimation and inference for spillover effects in experiments where units' outcomes may depend on the treatment assignments of other units within a group. I show that the commonly-used reduced-form linear-in-means…

Econometrics · Economics 2022-01-21 Gonzalo Vazquez-Bare

Tracking players in sports videos is commonly done in a tracking-by-detection framework, first detecting players in each frame, and then performing association over time. While for some sports tracking players is sufficient for game…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Yang Liu , Luiz G. Hafemann , Michael Jamieson , Mehrsan Javan

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…

Computation and Language · Computer Science 2020-07-02 Nadav Oved , Amir Feder , Roi Reichart

The paper develops a Transformer architecture for estimating dynamic factors from multivariate time series data under flexible identification assumptions. Performance on small datasets is improved substantially by using a conventional…

Econometrics · Economics 2026-01-21 Oliver Snellman

The performance of football players in English Premier League varies largely from season to season and for different teams. It is evident that a method capable of forecasting and analyzing the future of these players on-field antics shall…

Computers and Society · Computer Science 2019-10-01 Akhil Gupta

In various economic applications, people want to compare $n$ units with respect to certain quantities $Y_1, Y_2, \ldots, Y_n$ measuring their performance. The latter, however, is often influenced by certain factors which are beyond control…

Statistics Theory · Mathematics 2016-09-30 Lutz Duembgen

The success of a football team depends on various individual skills and performances of the selected players as well as how cohesively they perform. We propose a two-stage process for selecting optimal playing eleven of a football team from…

Applications · Statistics 2023-04-14 Soudeep Deb , Shubhabrata Das

From the viewpoint of networks, a ranking system for players or teams in sports is equivalent to a centrality measure for sports networks, whereby a directed link represents the result of a single game. Previously proposed network-based…

Physics and Society · Physics 2012-12-07 Shun Motegi , Naoki Masuda

In international football (soccer), two-legged knockout ties, with each team playing at home in one leg and the final outcome decided on aggregate, are common. Many players, managers and followers seem to believe in the `second-leg home…

Methodology · Statistics 2017-01-27 Gery Geenens , Thomas Cuddihy

This paper develops a conformal method to compute prediction intervals for non-parametric regression that can automatically adapt to skewed data. Leveraging black-box machine learning algorithms to estimate the conditional distribution of…

Methodology · Statistics 2021-10-26 Matteo Sesia , Yaniv Romano

In most popular sports leagues, like the MLB, NBA, and NFL, none of the commonly used statistics take into account the strengths of the opponents a player faces. One of the main reasons for this is the conventional belief that a player's…

Applications · Statistics 2022-06-22 Francis Liu

Competitive balance in a football league is extremely important from the perspective of economic growth of the industry. Many researchers have earlier proposed different measures of competitive balance, which are primarily adapted from the…

Applications · Statistics 2021-02-19 Soudeep Deb

In many predictive decision-making scenarios, such as credit scoring and academic testing, a decision-maker must construct a model that accounts for agents' propensity to "game" the decision rule by changing their features so as to receive…

Machine Learning · Computer Science 2022-08-26 Yonadav Shavit , Benjamin Edelman , Brian Axelrod

In sports, an aging curve depicts the relationship between average performance and age in athletes' careers. This paper investigates the aging curves for offensive players in Major League Baseball. We study this problem in a missing data…

Applications · Statistics 2024-03-12 Quang Nguyen , Gregory J. Matthews

We study the equilibrium distribution of relative strategy scores of agents in the asymmetric phase ($\alpha\equiv P/N\gtrsim 1$) of the basic Minority Game using sign-payoff, with $N$ agents holding two strategies over $P$ histories. We…

Disordered Systems and Neural Networks · Physics 2016-08-31 Mats Granath , Alvaro Perez-Diaz

We develop a skew-adaptive extension of split conformal prediction for regression. The method starts from an asymmetric interval family centered at a point prediction and uses the gauge approach to deduce the conformity score induced by…

Machine Learning · Statistics 2026-05-18 Paulo C. Marques F. , Helton Graziadei

Estimating ballpark effects and team defense in baseball is challenging because batted-ball outcomes are influenced by multiple factors, including contact quality, ballpark environment, defensive performance, and random variation. In this…

Applications · Statistics 2026-03-24 Jhe-Jia Wu , Tian-Li Yan , Ting-Li Chen

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