Stochastic

01-25-2011, 12:48 AM

Since it's possible to calculate the odds of winning a match given the odds of winning a point ( http://robert-farrenkopf.info/tennis/tennis1.htm ), I thought I'd do just that given the fact that we now know the QFs. (It would be a nearly impossible task at the R128!) I used data from H2Hs with regards to points (and a little bit of guessing where there was no H2H).

Then, doing a Monte Carlo simulation (i.e. running simulations using the probability of each match pairing), it's possible to have 'simulated AOs' given these probabilities. Obviously, this is based just on past matches, and not on any of the intangibles (like who is better at slams, or clutch moments, etc.). Nonetheless, I thought it might be interesting to some of you. (I ran 500 simulations.)

Probability of winning:

Federer 32.4%

Nadal 31.6%

Murray 16.8%

Djokovic 13.8%

Berdych 3.2%

Ferrer 1.4%

Wawrinka 0.8%

Dolgopolov 0.0%

10 most likely final results:

Nadal d. Federer 17.0%

Federer d. Nadal 14.2%

Federer d. Murray 13.2%

Murray d. Federer 11.4%

Nadal d. Djokovic 9.2%

Djokovic d. Murray 7.0%

Djokovic d. Nadal 5.6%

Federer d. Ferrer 4.4%

Murray d. Djokovic 4.0%

Nadal d. Berdych 2.8%

Semi-final (top half):

Nadal d. Murray 46.0%

Murray d. Nadal 29.8%

Murray d. Ferrer 9.8%

Nadal d. Dolgopolov 6.4%

Ferrer d. Murray 5.6%

Ferrer d. Dolgopolov 1.6%

Dolgopolov d. Nadal 0.6%

Dolgopolov d. Ferrer 0.2%

Semi-final (bottom half):

Federer d. Djokovic 40.4%

Federer d. Berdych 20.6%

Djokovic d. Federer 19.0%

Djokovic d. Wawrinka 8.4%

Berdych d. Federer 4.2%

Wawrinka d. Berdych 2.8%

Wawrinka d. Djokovic 2.4%

Berdych d. Wawrinka 2.2%

If there's any interest, I can update as each result comes in.

(Also, I'm not sure if this is better for 'Statistics' or one of the main boards, but I figured that here was fine.)

Then, doing a Monte Carlo simulation (i.e. running simulations using the probability of each match pairing), it's possible to have 'simulated AOs' given these probabilities. Obviously, this is based just on past matches, and not on any of the intangibles (like who is better at slams, or clutch moments, etc.). Nonetheless, I thought it might be interesting to some of you. (I ran 500 simulations.)

Probability of winning:

Federer 32.4%

Nadal 31.6%

Murray 16.8%

Djokovic 13.8%

Berdych 3.2%

Ferrer 1.4%

Wawrinka 0.8%

Dolgopolov 0.0%

10 most likely final results:

Nadal d. Federer 17.0%

Federer d. Nadal 14.2%

Federer d. Murray 13.2%

Murray d. Federer 11.4%

Nadal d. Djokovic 9.2%

Djokovic d. Murray 7.0%

Djokovic d. Nadal 5.6%

Federer d. Ferrer 4.4%

Murray d. Djokovic 4.0%

Nadal d. Berdych 2.8%

Semi-final (top half):

Nadal d. Murray 46.0%

Murray d. Nadal 29.8%

Murray d. Ferrer 9.8%

Nadal d. Dolgopolov 6.4%

Ferrer d. Murray 5.6%

Ferrer d. Dolgopolov 1.6%

Dolgopolov d. Nadal 0.6%

Dolgopolov d. Ferrer 0.2%

Semi-final (bottom half):

Federer d. Djokovic 40.4%

Federer d. Berdych 20.6%

Djokovic d. Federer 19.0%

Djokovic d. Wawrinka 8.4%

Berdych d. Federer 4.2%

Wawrinka d. Berdych 2.8%

Wawrinka d. Djokovic 2.4%

Berdych d. Wawrinka 2.2%

If there's any interest, I can update as each result comes in.

(Also, I'm not sure if this is better for 'Statistics' or one of the main boards, but I figured that here was fine.)