Brazilian Journal of Probability and Statistics

A stochastic analysis of table tennis

Yves Dominicy, Christophe Ley, and Yvik Swan

Full-text: Open access

Abstract

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 score. We use these findings to investigate the dependence of these quantities on the different parameters involved (number of points needed to win a set, number of consecutive serves, etc.), with particular focus on the rule change imposed in 2001 by the International Table Tennis Federation (ITTF). Finally, we briefly indicate how our results can lead to more efficient estimation techniques of individual players’ abilities.

Article information

Source
Braz. J. Probab. Stat., Volume 27, Number 4 (2013), 467-486.

Dates
First available in Project Euclid: 9 September 2013

Permanent link to this document
https://projecteuclid.org/euclid.bjps/1378729983

Digital Object Identifier
doi:10.1214/11-BJPS177

Mathematical Reviews number (MathSciNet)
MR3105039

Zentralblatt MATH identifier
1301.60106

Keywords
Combinatorial arguments duration rally-level stochastic analysis of sports table tennis winning probabilities

Citation

Dominicy, Yves; Ley, Christophe; Swan, Yvik. A stochastic analysis of table tennis. Braz. J. Probab. Stat. 27 (2013), no. 4, 467--486. doi:10.1214/11-BJPS177. https://projecteuclid.org/euclid.bjps/1378729983


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