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The estimation of winning rate in tennis doubles game in Kangnung
Journal of the Korean Data & Information Science Society 2018;29:293-301
Published online January 31, 2018
© 2018 Korean Data and Information Science Society.

Soon-kwi Kim1

1Department of Information Statistics, Gangneung-Wonju National University
Correspondence to: Professor, Department of Information Statistics, Gangneung-Wonju National University, Gangneung, Gangwon-do, 25457, Korea. E-mail: skkim@kangnung.ac.kr
Received September 11, 2017; Revised November 4, 2017; Accepted November 9, 2017.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper, we provide a suitable optimal exponent in the generalized Pythagorean theorem and propose to use the logistic model & the probit model to estimate the winning rate in amateur tennis doubles game. Under the criterion of root-mean-square-error (RMSE), the efficiencies of the proposed models have been compared with those of the Pythagorean theorem. We use the player win-loss records of amateur tennis doubles from February, 2016 to October, 2016, and show the slight outperformance of the proposed methods over the generalized Pythagorean method under the criterion of RMSE.
Keywords : Cluster analysis, generalized Pythagorean theorem, logistic model, probit model.