Ivanisevich's Model
by
(Summary)
Would you like to gain more
than 50% of points on your serves only, not taking care of quality of the play?
What requirements must be
herewith to efficiency of first and second service?
I received so named
"tennis functional" (complex function) Pm = F (
Pm is a probability to win a match;
t = (1- Poc/Po) – it’s a coefficient of advantage (0<t <1); t=0 - no
advantage, t=1 - 100% advantage.
Poc is a probability to win a point for
opponent at opponent's serve, Po > Poc .
Analysis of the tennis
functional show:
The more efficient of first
and second serves, the less coefficient of advantage is needed to win a match;
The more play disbalance D, the less coefficient advantage is
needed to win a match, D =
Look at the Table (t versus Po & Pm),
received during solving the tennis functional.
|
Ро \ Рm |
0,6 |
0,7 |
0,8 |
0,9 |
|
0,6 |
2% |
4% |
6,34% |
9,45% |
|
0,7 |
1,9% |
4% |
6,4% |
10% |
|
0.8 |
1,35% |
2,86% |
4,75% |
7,55% |
|
0,9 |
0,63% |
1,33% |
2,23% |
3,62% |
The Table shows that on increasing
of efficient of serves (first and second), is required quite small coefficient
of advantage on adversary to win the match, i.e. it’s possible to win a match
on your serves only.
Statistic analysis of Goran Ivanisevich’s play at 2001
Wimbledon final match approve once more these calculations.
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