TY  - JOUR
T1  - What are the Winning Conditions in Sports Competition with a
Predetermined Cumulative Point System
AU - Park, J.H. AU - Yun, H.J. AU - Choi, C.H. AU - Pardalos, P.M. 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 17
SP  - 6519
EP  - 6524
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.6519.6524
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.6519.6524
KW  - Predetermined cumulative point system
KW  -badminton
KW  -table tennis
KW  -consecutive winning points
KW  -consecutive losing points
KW  -Monte-Carlo simulation
AB  - The objective of this study is to examine whether the empirical distributions of consecutive winning
and losing points obtained in real games of badminton and table tennis in which the winner is determined by
a predetermined cumulative point system are the same as the naturally occurring probability distributions of
consecutive winning and losing points generated in simulations. In addition, this study suggests conditions
in which winning is likely based on these consecutive winning and losing points. Pseudo-data for the
comparison were generated using a Monte-Carlo simulation. The frequencies of consecutive winning and
losing points for both real and simulated data were calculated and a &#967;<sup>2</sup> test was performed to test the
homogeneity of the two groups of data. The findings showed that the empirical distributions of consecutive
winning and losing points in the real games of badminton and table tennis were not different from the
probability distributions of the simulated pseudo data (significance level &alpha; = 0.05).
ER  -