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Basketball players' performance measurement is of critical importance for a broad spectrum of decisions related to training and game strategy. Despite this recognized central role, the main part of the studies on this topic focus on…

Applications · Statistics 2019-12-24 Paola Zuccolotto , Marco Sandri , Marica Manisera , Rodolfo Metulini

The use of statistical methods in sport analytics has gained a rapidly growing interest over the last decade, and nowadays is common practice. In particular, the interest in understanding and predicting an athlete's performance throughout…

Methodology · Statistics 2021-01-21 Patric Dolmeta , Raffaele Argiento , Silvia Montagna

Although basketball is a dualistic sport, with all players competing on both offense and defense, almost all of the sport's conventional metrics are designed to summarize offensive play. As a result, player valuations are largely based on…

Applications · Statistics 2015-05-29 Alexander Franks , Andrew Miller , Luke Bornn , Kirk Goldsberry

Intensity estimation is a common problem in statistical analysis of spatial point pattern data. This paper proposes a nonparametric Bayesian method for estimating the spatial point process intensity based on mixture of finite mixture (MFM)…

Methodology · Statistics 2019-07-09 Junxian Geng , Wei Shi , Guanyu Hu

Estimation of the intensity of a point process is considered within a nonparametric framework. The intensity measure is unknown and depends on covariates, possibly many more than the observed number of jumps. Only a single trajectory of the…

Statistics Theory · Mathematics 2017-02-20 Alessio Sancetta

In the sports of soccer, hockey and basketball the most commonly used statistics for player performance assessment are divided into two categories: offensive statistics and defensive statistics. However, qualitative assessments of…

Applications · Statistics 2017-04-04 Shael Brown

For professional basketball, finding valuable and suitable players is the key to building a winning team. To deal with such challenges, basketball managers, scouts and coaches are increasingly turning to analytics. Objective evaluation of…

Applications · Statistics 2016-07-26 Lu Xin , Mu Zhu , Hugh Chipman

We present a simulation methodology for Bayesian estimation of rate parameters in Markov jump processes arising for example in stochastic kinetic models. To handle the problem of missing components and measurement errors in observed data,…

Computation · Statistics 2010-09-01 Michael Amrein , Hans R. Kuensch

The availability of large spatial data geocoded at accurate locations has fueled a growing interest in spatial modeling and analysis of point processes. The proposed research is motivated by the intensity estimation problem for large…

Applications · Statistics 2021-07-19 Lihao Yin , Huiyan Sang

This paper presents CourtMotion, a spatiotemporal modeling framework for analyzing and predicting game events and plays as they develop in professional basketball. Anticipating basketball events requires understanding both physical motion…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Omer Sela , Michael Chertok , Lior Wolf

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

Evaluating the overall ability of players in the National Hockey League (NHL) is a difficult task. Existing methods such as the famous "plus/minus" statistic have many shortcomings. Standard linear regression methods work well when player…

Applications · Statistics 2013-03-01 A. C. Thomas , Samuel L. Ventura , Shane Jensen , Stephen Ma

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

Goals are results of pin-point shots and it is a pivotal decision in soccer when, how and where to shoot. The main contribution of this study is two-fold. At first, after showing that there exists high spatial correlation in the data of…

Applications · Statistics 2021-04-08 Soudeep Deb , Debangan Dey

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

Many popular sports involve matches between two teams or players where each team have the possibility of scoring points throughout the match. While the overall match winner and result is interesting, it conveys little information about the…

Applications · Statistics 2020-12-23 Claus Thorn Ekstrøm , Andreas Kryger Jensen

We introduce a compact probabilistic model for two-player and two-team (four-player) squash matches, along with a practical skill-comparison rule derived from point-scoring probabilities. Using recorded shot types and court locations, we…

Applications · Statistics 2025-12-03 Prathamesh Anwekar , Kaushal Kirpekar , Mahesh B , Sainath Bitragunta

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

Technological advances have paved the way for collecting high-resolution network data in basketball, football, and other team-based sports. Such data consist of interactions among players of competing teams indexed by space and time.…

Applications · Statistics 2024-02-14 Nicholas Grieshop , Yong Feng , Guanyu Hu , Michael Schweinberger

We develop a new family of marked point processes by focusing the characteristic properties of marked Hawkes processes exclusively to the space of marks, providing the freedom to specify a different model for the occurrence times. This is…

Applications · Statistics 2022-10-18 Santhosh Narayanan , Ioannis Kosmidis , Petros Dellaportas