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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

It is well known that athletic and physical condition is affected by age. Plotting an individual athlete's performance against age creates a graph commonly called the player's aging curve. Despite the obvious interest to coaches and…

Applications · Statistics 2014-04-02 Alexander Wakim , Jimmy Jin

In the realm of competitive sports, understanding the performance dynamics of athletes, represented by the age curve (showing progression, peak, and decline), is vital. Our research introduces a novel framework for quantifying age-specific…

Applications · Statistics 2024-02-21 Shinpei Nakamura-Sakai , Laura Forastiere , Brian Macdonald

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…

Applications · Statistics 2023-09-21 Sameer K. Deshpande , Shane T. Jensen

Regression-based adjusted plus-minus statistics were developed in basketball and have recently come to hockey. The purpose of these statistics is to provide an estimate of each player's contribution to his team, independent of the strength…

Applications · Statistics 2015-03-19 Brian Macdonald

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…

Applications · Statistics 2016-01-27 Robert B. Gramacy , Matt Taddy , Sen Tian

Sport sciences researchers talk about a relative age effect when they observe a biased distribution of elite athletes' birthdates, with an over-representation of those born at the beginning of the competitive year and an…

Methodology · Statistics 2010-01-25 Nicolas Delorme , Julie Boiché , Michel Raspaud

We present a regularized logistic regression model for evaluating player contributions in hockey. The traditional metric for this purpose is the plus-minus statistic, which allocates a single unit of credit (for or against) to each player…

Applications · Statistics 2013-01-15 Robert B. Gramacy , Matthew A. Taddy , Shane T. Jensen

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…

Applications · Statistics 2013-01-17 Dapo Omidiran

The topic of aging decline on performance of NBA players has been discussed in this study. The autoencoder with K-means clustering machine learning method was adopted to career trend classification of NBA players, and the LSTM deep learning…

Artificial Intelligence · Computer Science 2025-10-01 Yi-chen Yao , Jerry Wang , Yi-cheng Lai , Lyn Chao-ling Chen

It is customary for researchers and practitioners to fit linear models in order to predict NBA player's salary based on the players' performance on court. On the contrary, we focus on the players salary share (with regards to the team…

Applications · Statistics 2022-02-07 Ioanna Papadaki , Michail Tsagris

The productive career of a professional athlete is limited compared to the normal human lifespan. Most professional athletes have retired by age 40. The early retirement age is due to a combination of age-related performance and life…

Methodology · Statistics 2025-01-17 Monnie McGee , Jacob Turner , Bianca Luedeker

In multiagent environments, several decision-making individuals interact while adhering to the dynamics constraints imposed by the environment. These interactions, combined with the potential stochasticity of the agents' decision-making…

The learning curve expresses the error rate of a predictive modeling procedure as a function of the sample size of the training dataset. It typically is a decreasing, convex function with a positive limiting value. An estimate of the…

Applications · Statistics 2012-03-14 Eric B. Laber , Kerby Shedden , Yang Yang

The goal of this paper is to develop an adjusted plus-minus statistic for NHL players that is independent of both teammates and opponents. We use data from the shift reports on NHL.com in a weighted least squares regression to estimate an…

Applications · Statistics 2011-11-28 Brian Macdonald

Missing values are prevalent across various fields, posing challenges for training and deploying predictive models. In this context, imputation is a common practice, driven by the hope that accurate imputations will enhance predictions.…

Artificial Intelligence · Computer Science 2025-02-21 Marine Le Morvan , Gaël Varoquaux

Drafting strong players is crucial for the team success. We describe a new data-driven interpretable approach for assessing draft prospects in the National Hockey League. Successful previous approaches have built a predictive model based on…

Machine Learning · Computer Science 2018-02-27 Oliver Schulte , Yejia Liu , Chao Li

By filling in missing values in datasets, imputation allows these datasets to be used with algorithms that cannot handle missing values by themselves. However, missing values may in principle contribute useful information that is lost…

Machine Learning · Computer Science 2024-10-31 Oliver Urs Lenz , Daniel Peralta , Chris Cornelis

Chronological age predictors often fail to achieve out-of-distribution (OOD) gen- eralization due to exogenous attributes such as race, gender, or tissue. Learning an invariant representation with respect to those attributes is therefore…

Machine Learning · Computer Science 2026-03-18 Debdas Paul , Elisa Ferrari , Irene Gravili , Alessandro Cellerino

This empirical research explores the impact of age on nationality bias. World Cup competition data suggest that judges of professional ski jumping competitions prefer jumpers of their own nationality and exhibit this preference by rewarding…

General Economics · Economics 2018-08-14 Sandra Schneemann , Hendrik Scholten , Christian Deutscher
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