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With the aid of mathematical modelling (basic tool is the random walk with absorbing barriers) we derive subsequent formulas to study the effect of different versions of possible rules. For different rules the probability of winning a game,…

Other Statistics · Statistics 2018-01-30 G. Szigeti

Serves, especially first serves, are very important in professional tennis. Servers choose their serve directions strategically to maximize their winning chances while trying to be unpredictable. On the other hand, returners try to predict…

Machine Learning · Computer Science 2026-02-27 Ying Zhu , Ruthuparna Naikar

Probabilistic properties of tennis scoring systems are examined and compared with best-of-K systems. A model, where each player has his/her own probability of winning his/her service point and which remains invariant for the duration of the…

Probability · Mathematics 2026-03-04 Edsel A. Pena , Dip Das , Yuexuan Wu

We establish a general formula for the distribution of the score in table tennis. We use this formula to derive the probability distribution (and hence the expectation and variance) of the number of rallies necessary to achieve any given…

Applications · Statistics 2011-10-02 Yves Dominicy , Christophe Ley , Yvik Swan

Individual sports competitions provide a natural setting for examining the relative importance of talent and luck/chance in achieving success. The belief that success is primarily due to individual abilities and hard work rather than…

Physics and Society · Physics 2023-11-14 Chiara Zappalá , Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

Tennis is a popular sport worldwide, boasting millions of fans and numerous national and international tournaments. Like many sports, tennis has benefitted from the popularity of rigorous record-keeping of game and player information, as…

Machine Learning · Computer Science 2019-10-09 Zijian Gao , Amanda Kowalczyk

The spread in the use of tracking systems in sport has made fine-grained spatiotemporal analysis a primary focus of an emerging sports analytics industry. Recently publicized tracking data for men's professional tennis allows for the first…

Methodology · Statistics 2022-02-02 Stephanie A. Kovalchik , Jim Albert

This paper considers the impact of unforced errors in sport. Although the proposed methods are applicable to various sports, we demonstrate the approach in the context of professional tennis. The value of the approach is that we can provide…

Applications · Statistics 2024-07-30 Hashan Peiris , Nirodha Epasinghege Dona , Tim Swartz

The presence of momentum in sports, where the outcome of a previous event affects a following event, is a belief often held by fans, and has been the subject of statistical study for many sports. This paper investigates the presence and…

Applications · Statistics 2021-03-05 Arjun Goyal , Jeffrey S. Simonoff

Success in sports is a complex phenomenon that has only garnered limited research attention. In particular, we lack a deep scientific understanding of success in sports like tennis and the factors that contribute to it. Here, we study the…

Physics and Society · Physics 2024-06-11 Chiara Zappalà , Sandro Sousa , Tiago Cunha , Alessandro Pluchino , Andrea Rapisarda , Roberta Sinatra

Online dating emerged as a key platform for human mating. Previous research focused on socio-demographic characteristics to explain human mating in online dating environments, neglecting the commonly recognized relevance of sport. This…

General Economics · Economics 2021-04-13 Daniel Boller , Michael Lechner , Gabriel Okasa

This paper discusses match result prediction ability of ATP ranking points, which is official ranking points for men's professional tennis players. The structure of overall ATP World Tour and the ranking point attribution system leads that…

Applications · Statistics 2017-05-18 Eiji Konaka

In professional tennis, it is often acknowledged that the server has an initial advantage. Indeed, the majority of points are won by the server, making the serve one of the most important elements in this sport. In this paper, we focus on…

Applications · Statistics 2019-09-10 Silvia Montagna , Vanessa Orani , Raffaele Argiento

In pickleball doubles with conventional side-out scoring, points are scored only by the serving team. The serve alternates during a game, with each team serving until it has faulted twice, except at the beginning of the game, in which case…

Probability · Mathematics 2023-08-24 Daryl R. DeFord , Stewart N. Ethier

In the light of the need to achieve a ranking which is understood by all tennis supporters, the ATP ranking is exposed to constant complaints from players and at the same time exposes new players to be benefited with a good tournament to be…

Social and Information Networks · Computer Science 2017-12-01 Alex Aronson

In a function that takes its inputs from various players, the effect of a player measures the variation he can cause in the expectation of that function. In this paper we prove a tight upper bound on the number of players with large effect,…

Probability · Mathematics 2008-05-06 Ronen Gradwohl , Omer Reingold , Ariel Yadin , Amir Yehudayoff

In a competitive sport, every little thing matters. Yet, many sports leave some large levers out of the reach of the teams, and in the hands of fate. In cricket, world's second most popular sport by some measures, one such lever---the…

Applications · Statistics 2016-05-30 Gaurav Sood , Derek Willis

In the game of cricket, the result of coin toss is assumed to be one of the determinants of match outcome. The decision to bat first after winning the toss is often taken to make the best use of superior pitch conditions and set a big…

Applications · Statistics 2020-07-14 Manar D. Samad , Sumen Sen

In the 2023 Wimbledon Gentlemen's final, Carlos Alcaraz defeated Novak Djokovic. This study aims to predict athletes' performance through five key aspects: first, a mul-ti-classification model based on logistic regression was established,…

Applications · Statistics 2024-07-11 Chuangqi Li

In this paper we analyse tiebreak results from some tennis players in order to investigate whether we are able to identify some strategy in this crucial moment of the game. We compared the observed results with a binomial distribution…

Popular Physics · Physics 2016-06-20 I. Y. Kawashima , O. Helene , M. T. Yamashita , R. S. Marques de Carvalho
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