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Even though having more possession does not necessarily lead to winning, teams like Manchester City, Liverpool, and Leeds United notably have tried to recover the ball quickly after they lost it over the past few years. Nowadays, some of…

Applications · Statistics 2023-07-11 Ricardo Furbino Marques do Nascimento , Hugo M. R. Rios-Neto

There is a long standing debate over how to objectively compare the career achievements of professional athletes from different historical eras. Developing an objective approach will be of particular importance over the next decade as Major…

Physics and Society · Physics 2011-03-17 Alexander M. Petersen , Orion Penner , H. Eugene Stanley

In this paper, we examine team ball sports to investigate how the likelihood of weaker teams winning against stronger ones, referred to as underdog achievement, is influenced by inherent randomness factors that affect match outcomes in such…

Applications · Statistics 2024-04-11 Luis Nunes Vicente , Thaksheel Alleck , Tommaso Giovannelli , Roman Mitchell , Ori Remen

In the high-stakes world of baseball, every nuance of a pitcher's mechanics holds the key to maximizing performance and minimizing runs. Traditional analysis methods often rely on pre-recorded offline numerical data, hindering their…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Jerrin Bright , Bavesh Balaji , Yuhao Chen , David A Clausi , John S Zelek

Major League Baseball (MLB) recently limited pitchers to three pickoff attempts, creating a cat-and-mouse game between pitcher and runner. Each failed attempt adds pressure on the pitcher to avoid using another, and the runner can intensify…

Optimization and Control · Mathematics 2026-01-23 Scott Powers , Sivaramakrishnan Ramani , Jacob Hahn , Andrew J. Schaefer

We show that there is a constant C such that for any $b<\frac{n}{\ln{n}}-\frac{Cn}{(\ln{n})^{3/2}}$, Maker wins the Maker-Breaker Hamilton cycle game in $n+\frac{Cn}{\sqrt{\ln{n}}}$ steps.

Combinatorics · Mathematics 2020-12-09 Noah Brustle , Sarah Clusiau , Vishnu V. Narayan , Ndiamé Ndiaye , Bruce Reed , Ben Seamone

Baseball consists of two teams alternating between batting and fielding while competing to score runs through sequential pitching events. Recent advances in tracking technology have enabled all Major League Baseball (MLB) clubs to record…

Physics and Society · Physics 2026-04-01 Youngjai Park , Cheawoon Lim , Seung-Woo Son , Mi Jin Lee

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…

Applications · Statistics 2017-11-23 Michael J. Lopez , Gregory J. Matthews , Benjamin S. Baumer

A new model, which uses the frequency of individuals' annual home run totals, is employed to predict future home run totals and records in Major League Baseball. Complete home run frequency data from 1903--2005 is analyzed, resulting in…

Popular Physics · Physics 2007-05-23 D. J. Kelley , J. R. Mureika , J. A. Phillips

We study the effects of randomness on competitions based on an elementary random process in which there is a finite probability that a weaker team upsets a stronger team. We apply this model to sports leagues and sports tournaments, and…

Physics and Society · Physics 2013-04-02 E. Ben-Naim , N. W. Hengartner , S. Redner , F. Vazquez

We consider two-person sports where each rally is initiated by a \emph{server}, the other player (the \emph{receiver}) becoming the server when he/she wins a rally. Historically, these sports used a scoring based on the \emph{side-out…

Probability · Mathematics 2011-12-02 Davy Paindaveine , Yvik Swan

Streaks of success have always fascinated people and a lot of research has been conducted to identify whether the "hot hand" effect is real. While sports have provided an appropriate platform for studying this phenomenon, the majority of…

Applications · Statistics 2021-07-21 Konstantinos Pelechrinis , Wayne Winston

As a baseball game progresses, batters appear to perform better the more times they face a particular pitcher. The apparent drop-off in pitcher performance from one time through the order to the next, known as the Time Through the Order…

Applications · Statistics 2023-09-21 Ryan S. Brill , Sameer K. Deshpande , Abraham J. Wyner

We have developed a sophisticated statistical model for predicting the hitting performance of Major League baseball players. The Bayesian paradigm provides a principled method for balancing past performance with crucial covariates, such as…

Applications · Statistics 2021-07-21 Shane T. Jensen , Blake McShane , Abraham J. Wyner

A random walk-like model is considered to discuss statistical aspects of tournaments. The model is applied to soccer leagues with emphasis on the scores. This competitive system was computationally simulated and the results are compared…

Data Analysis, Statistics and Probability · Physics 2010-04-30 H. V. Ribeiro , R. S. Mendes , L. C. Malacarne , S. Picoli , P. A. Santoro

Even professional baseball players occasionally find it difficult to gracefully approach seemingly routine pop-ups. This paper describes a set of towering pop-ups with trajectories that exhibit cusps and loops near the apex. For a normal…

Popular Physics · Physics 2009-11-13 Michael K. McBeath , Alan M. Nathan , A. Terry Bahill , David G. Baldwin

Badges are commonly used in online platforms as incentives for promoting contributions. It is widely accepted that badges "steer" people's behavior toward increasing their rate of contributions before obtaining the badge. This paper…

Machine Learning · Computer Science 2020-08-24 Nicholas Hoernle , Gregory Kehne , Ariel D. Procaccia , Kobi Gal

In Major League Baseball, strategy and planning are major factors in determining the outcome of a game. Previous studies have aided this by building machine learning models for predicting the winning team of any given game. We extend this…

Machine Learning · Computer Science 2025-11-05 Morgan Allen , Paul Savala

This short note is intended as a "Letter to the Editor" Perspective in order that it serves as a contribution, in view of reaching the physics community caring about rare events and scaling laws and unexpected findings, on a domain of wide…

General Finance · Quantitative Finance 2017-12-04 Marcel Ausloos

In baseball, every play on the field is quantitatively evaluated and has an effect on individual and team strategies. The weighted on base average (wOBA) is well known as a measure of an batter's hitting contribution. However, this measure…

Artificial Intelligence · Computer Science 2022-06-07 Hiroshi Nakahara , Kazuya Takeda , Keisuke Fujii