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There have been more hitting streaks in Major League Baseball than we would expect. All batting lines of MLB hitters from 1957-2006 were randomly permuted 10,000 times and the number of hitting streaks of each length from 2 to 100 was…

Applications · Statistics 2009-08-10 Trent McCotter

Assessment of the performance of a player in any sport is very much needed to determine the ranking of players and make a solid team with the best players. Besides these, fans, journalists, sports persons, and sports councils often analyse…

Physics and Society · Physics 2024-06-28 Dipak Patra

Our objective is to find the five best college sports coaches of past century for three different sports. We decided to look at men's basketball, football, and baseball. We wanted to use an approach that could definitively determine team…

Applications · Statistics 2014-04-11 Tian-Shun Jiang , Zachary Polizzi , Christopher Yuan

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

This paper studies the relations between agent performances and their intellective abilities in mix-games in which there are two groups of agents: one group plays a minority game, and the other plays a majority game. These two groups have…

Physics and Society · Physics 2007-05-23 Chengling Gou

We examine whether social data can be used to predict how members of Major League Baseball (MLB) and members of the National Basketball Association (NBA) transition between teams during their career. We find that incorporating social data…

Social and Information Networks · Computer Science 2020-09-02 Emily J. Evans , Rebecca Jones , Joseph Leung , Benjamin Z. Webb

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

Interactions between people are the basis on which the structure of our society arises as a complex system and, at the same time, are the starting point of any physical description of it. In the last few years, much theoretical research has…

Computer Science and Game Theory · Computer Science 2017-12-06 Mattia Mazzoli , Angel Sanchez

Can one understand the statistics of wins and losses of baseball teams? Are their consecutive-game winning and losing streaks self-reinforcing or can they be described statistically? We apply the Bradley-Terry model, which incorporates the…

Physics and Society · Physics 2014-07-25 C. Sire , S. Redner

Batting average is one of the principle performance measures for an individual baseball player. It is natural to statistically model this as a binomial-variable proportion, with a given (observed) number of qualifying attempts (called…

Applications · Statistics 2008-12-18 Lawrence D. Brown

A new methodological framework suitable for era-adjusting baseball statistics is developed in this article. Within this methodological framework specific models are motivated. We call these models Full House Models. Full House Models work…

Applications · Statistics 2024-04-25 Shen Yan , Adrian Burgos , Christopher Kinson , Daniel J. Eck

Systemic and idiosyncratic patterns in pitching mechanics of 24 top starting pitchers in Major League Baseball (MLB) are extracted and discovered from PITCHf/x database. These evolving patterns across different pitchers or seasons are…

Applications · Statistics 2018-01-30 Fushing Hsieh , Kevin Fujii , Tania Roy , Cho-Jui Hsieh , Brenda McCowan

We examine settings in which agents choose behaviors and care about their neighbors' behaviors, but have incomplete information about the network in which they are embedded. We develop a model in which agents use local knowledge of their…

Theoretical Economics · Economics 2024-12-04 Promit K. Chaudhuri , Matthew O. Jackson , Sudipta Sarangi , Hector Tzavellas

We show that the great baseball players that started their careers before 1950 are overrepresented among rankings of baseball's all time greatest players. The year 1950 coincides with the decennial US Census that is closest to when Major…

Applications · Statistics 2019-06-19 Daniel J. Eck

Ensuring the security of networked systems is a significant problem, considering the susceptibility of modern infrastructures and technologies to adversarial interference. A central component of this problem is how defensive resources…

Computer Science and Game Theory · Computer Science 2023-06-13 Adel Aghajan , Keith Paarporn , Jason R. Marden

Competitor rating systems for head-to-head games are typically used to measure playing strength from game outcomes. Ratings computed from these systems are often used to select top competitors for elite events, for pairing players of…

Methodology · Statistics 2025-07-14 Mark E. Glickman

It is common to be interested in rankings or order relationships among entities. In complex settings where one does not directly measure a univariate statistic upon which to base ranks, such inferences typically rely on statistical models…

Methodology · Statistics 2022-04-12 Andres F. Barrientos , Deborshee Sen , Garritt L Page , David B Dunson

Numerous statistics have been proposed for the measure of offensive ability in major league baseball. While some of these measures may offer moderate predictive power in certain situations, it is unclear which simple offensive metrics are…

Applications · Statistics 2021-07-21 Blakeley B. McShane , Alexander Braunstein , James Piette , Shane T. Jensen

We present evidence, based on play-by-play data from all 6087 games from the 2006/07--2009/10 seasons of the National Basketball Association (NBA), that basketball scoring is well described by a weakly-biased continuous-time random walk.…

Data Analysis, Statistics and Probability · Physics 2014-07-25 Alan Gabel , S. Redner

Individuals, or organizations, cooperate with or compete against one another in a wide range of practical situations. Such strategic interactions are often modeled as games played on networks, where an individual's payoff depends not only…

Computer Science and Game Theory · Computer Science 2020-09-22 Yan Leng , Xiaowen Dong , Junfeng Wu , Alex Pentland