Modeling In-Match Sports Dynamics Using the Evolving Probability Method

The prediction of sport event results has always drawn attention from a vast variety of different groups of people, such as club managers, coaches, betting companies, and the general population. The specific nature of each sport has an important role in the adaption of various predictive techniques...

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Main Authors: Ana Šarčević, Damir Pintar, Mihaela Vranić, Ante Gojsalić
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/10/4429
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author Ana Šarčević
Damir Pintar
Mihaela Vranić
Ante Gojsalić
author_facet Ana Šarčević
Damir Pintar
Mihaela Vranić
Ante Gojsalić
author_sort Ana Šarčević
collection DOAJ
description The prediction of sport event results has always drawn attention from a vast variety of different groups of people, such as club managers, coaches, betting companies, and the general population. The specific nature of each sport has an important role in the adaption of various predictive techniques founded on different mathematical and statistical models. In this paper, a common approach of modeling sports with a strongly defined structure and a rigid scoring system that relies on an assumption of independent and identical point distributions is challenged. It is demonstrated that such models can be improved by introducing dynamics into the match models in the form of sport momentums. Formal mathematical models for implementing these momentums based on conditional probability and empirical Bayes estimation are proposed, which are ultimately combined through a unifying hybrid approach based on the Monte Carlo simulation. Finally, the method is applied to real-life volleyball data demonstrating noticeable improvements over the previous approaches when it comes to predicting match outcomes. The method can be implemented into an expert system to obtain insight into the performance of players at different stages of the match or to study field scenarios that may arise under different circumstances.
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spelling doaj.art-c2a817661df045c2b4983634fad55a742023-11-21T19:33:35ZengMDPI AGApplied Sciences2076-34172021-05-011110442910.3390/app11104429Modeling In-Match Sports Dynamics Using the Evolving Probability MethodAna Šarčević0Damir Pintar1Mihaela Vranić2Ante Gojsalić3Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, HR-10000 Zagreb, CroatiaFaculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, HR-10000 Zagreb, CroatiaFaculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, HR-10000 Zagreb, CroatiaAVL-AST d.o.o., Strojarska 22, HR-10000 Zagreb, CroatiaThe prediction of sport event results has always drawn attention from a vast variety of different groups of people, such as club managers, coaches, betting companies, and the general population. The specific nature of each sport has an important role in the adaption of various predictive techniques founded on different mathematical and statistical models. In this paper, a common approach of modeling sports with a strongly defined structure and a rigid scoring system that relies on an assumption of independent and identical point distributions is challenged. It is demonstrated that such models can be improved by introducing dynamics into the match models in the form of sport momentums. Formal mathematical models for implementing these momentums based on conditional probability and empirical Bayes estimation are proposed, which are ultimately combined through a unifying hybrid approach based on the Monte Carlo simulation. Finally, the method is applied to real-life volleyball data demonstrating noticeable improvements over the previous approaches when it comes to predicting match outcomes. The method can be implemented into an expert system to obtain insight into the performance of players at different stages of the match or to study field scenarios that may arise under different circumstances.https://www.mdpi.com/2076-3417/11/10/4429Bayes estimationMarkov processMonte Carlo simulationnon-iid distributionpredictive modelpsychological momentum
spellingShingle Ana Šarčević
Damir Pintar
Mihaela Vranić
Ante Gojsalić
Modeling In-Match Sports Dynamics Using the Evolving Probability Method
Applied Sciences
Bayes estimation
Markov process
Monte Carlo simulation
non-iid distribution
predictive model
psychological momentum
title Modeling In-Match Sports Dynamics Using the Evolving Probability Method
title_full Modeling In-Match Sports Dynamics Using the Evolving Probability Method
title_fullStr Modeling In-Match Sports Dynamics Using the Evolving Probability Method
title_full_unstemmed Modeling In-Match Sports Dynamics Using the Evolving Probability Method
title_short Modeling In-Match Sports Dynamics Using the Evolving Probability Method
title_sort modeling in match sports dynamics using the evolving probability method
topic Bayes estimation
Markov process
Monte Carlo simulation
non-iid distribution
predictive model
psychological momentum
url https://www.mdpi.com/2076-3417/11/10/4429
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AT antegojsalic modelinginmatchsportsdynamicsusingtheevolvingprobabilitymethod