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Team-based invasion sports such as football, basketball and hockey are similar in the sense that the players are able to move freely around the playing area; and that player and team performance cannot be fully analysed without considering…

Other Computer Science · Computer Science 2017-04-17 Joachim Gudmundsson , Michael Horton

Although basketball is a dynamic process sport, with 5 plus 5 players competing on both offense and defense simultaneously, learning some static information is predominant for professional players, coaches and team mangers. In order to have…

Applications · Statistics 2021-04-05 Guanyu Hu , Hou-Cheng Yang , Yishu Xue , Dipak K. Dey

The hot streak, loosely defined as winning begets more winnings, highlights a specific period during which an individual's performance is substantially higher than her typical performance. While widely debated in sports, gambling, and…

Physics and Society · Physics 2018-09-05 Lu Liu , Yang Wang , Roberta Sinatra , C. Lee Giles , Chaoming Song , Dashun Wang

Modern basketball is all about creating efficient shots, that is, shots with high payoff. This is not necessarily equivalent to creating looks with the highest probability of success. In particular, the two most efficient shots in the NBA -…

Applications · Statistics 2021-05-28 Konstantinos Pelechrinis , Kirk Goldsberry

In this paper, we propose a shot percentage distribution strategy among the players of a basketball team to maximize the score that can be achieved by them. The approach is based on the concepts of game theory related to network flow.

Computer Science and Game Theory · Computer Science 2023-10-03 Aditya Singh

This paper studies the relationship between basketball teams' four factors and efficiency ratings as defined by Oliver (2004). The paper introduces an equation showing how a team's four factors in conjunction with its field goal and free…

Applications · Statistics 2023-05-23 Jirka Poropudas , Topi Halme

Basketball is often referred to as "a game of runs." We investigate the appropriateness of this claim using data from the full NBA 2016-17 season, comparing actual longest runs of scoring events to what long run theory predicts under the…

Applications · Statistics 2019-03-22 Mark F. Schilling

Parameters of a shot of an ice hockey player are mostly determined by the capabilities of the player and the physical properties of the stick used. To reach better performance, every hockey player uses also a hockey tape for an adjustment…

Popular Physics · Physics 2019-08-02 Martin Plesch , Samuel Ján Plesník , Natália Ružičková

Thermodynamic selection is an indirect competition between agents feeding on the same energy resource and obeying the laws of thermodynamics. We examine scenarios of this selection, where the agent is modeled as a heat-engine coupled to two…

Statistical Mechanics · Physics 2022-05-18 S. G. Babajanyan , E. V. Koonin , A. E. Allahverdyan

In this paper, Poisson time series models are considered to describe the number of field goals made by a basketball team or player at both the game (within-season) and the minute (within-game) level. To deal with the existence of temporal…

Applications · Statistics 2023-04-05 Álvaro Briz-Redón

Implicit biases occur automatically and unintentionally and are particularly present when we have to make split second decisions. One such situations appears in refereeing, where referees have to make an instantaneous decision on a…

Applications · Statistics 2026-03-11 Konstantinos Pelechrinis

Box score statistics in the National Basketball Association are used to measure and evaluate player performance. Some of these statistics are subjective in nature and since box score statistics are recorded by scorekeepers hired by the home…

Applications · Statistics 2019-09-10 Matthew van Bommel , Luke Bornn

Within college basketball, the decision to foul or not with a 3-point lead (the "foul up 3" dilemma) significantly impacts teams. A single fouling decision can directly determine the outcome of a game or even an entire season. Within this…

Physics and Society · Physics 2024-02-22 Julian Zapata-Hall

This study evaluates the effectiveness of the two-for-one strategy in basketball by applying a causal inference framework to play-by-play data from the 2018-19 and 2021-22 National Basketball Association regular seasons. Incorporating…

Applications · Statistics 2026-01-08 Prateek Sasan , Daryl Swartzentruber

The underlying physics of basketball shooting seems to be a straightforward example of the Newtonian mechanics that can easily be traced by numerical methods. However, a human basketball player does not make use of all the possible…

Popular Physics · Physics 2016-10-25 Byeong June Min

For some time, point-differential has been thought to be a better predictor for future NBA success than pure win-loss record. Most ranking and team performance predictions rely largely on point-differential, often with some normalizations…

Applications · Statistics 2019-12-04 Samuel Henry

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 purpose of this paper is to determine whether basketball teams who choose to employ an offensive strategy that involves predominantly shooting three point shots is stable and optimal. We employ a game-theoretical approach using…

Dynamical Systems · Mathematics 2015-06-24 Ikjyot Singh Kohli

It's not unreasonable to think that in-game sporting performance can be affected partly by what takes place off the court. We can't observe what happens between games directly. Instead, we proxy for the possibility of athletes partying by…

Econometrics · Economics 2024-12-31 Andreas Santucci , Eric Lax

Basketball shot location data provide valuable summary information regarding players to coaches, sports analysts, fans, statisticians, as well as players themselves. Represented by spatial points, such data are naturally analyzed with…

Methodology · Statistics 2020-11-24 Fan Yin , Jieying Jiao , Guanyu Hu , Jun Yan