Probability of winning a point on serve in tennis

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Discussion Overview

The discussion revolves around calculating the probability of winning a point on serve (Pwos) in tennis, focusing on the application of specific formulas and methods for determining this probability for individual players in various match contexts. Participants explore different approaches to updating Pwos based on match conditions and historical performance.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents a formula for calculating Pwos, incorporating probabilities for faults and point wins, and provides an example calculation.
  • Another participant questions how to incorporate historical match data between two players on the same surface into the Pwos calculation.
  • A different participant references a book on tennis prediction, discussing a method for updating Pwos based on point importance and raises a question about the application of this method in practice.
  • Further clarification is sought on the formulas used for updating Pwos, with a specific focus on the differences in application between two formulas presented.

Areas of Agreement / Disagreement

Participants express varying interpretations of the formulas and methods for calculating and updating Pwos, indicating that there is no consensus on the correct approach or application of these concepts.

Contextual Notes

Some participants mention specific conditions under which the formulas are applied, such as the importance of historical match data and the context of point importance, but these aspects remain unresolved and are subject to interpretation.

Who May Find This Useful

Individuals interested in sports analytics, particularly in tennis, as well as those looking to understand probabilistic models in competitive sports contexts.

Hrant
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Hello, my question about calculating the probability in tennis
I know that to calculate Pwos (probability of point won on oun serve ) for each player the following formula is used...

# P(no Fault) -The probability a player's first serve not faulting

# P(win/no Fault) -The probability a player will win the point if the first
service does not fault

# P(win/fault) -The probability a player will win the point on his second
serve

formula...
P(win) = P(noFault)P(win/noFault) + (1 - P(noFault))P(win/fault)

For an example
P(noFault) = 0,70
P(win/noFault) = 0,64
P(win/fault) = 0,55

P(win) = (0,70 * 0,64) + (1 - 0,70) *0,55 = 0,613

This is a global method for calculating Pwos for a particular player on a particular surface.
I know that to calculate the most correct (Pwos) for two players, in a particular match, on a particular surface,it is necessary that these players used to have personal meetings on the same surface.
please tell me how to use this fact that they used to play each other on this surface?
Sorry for my English
thanks in advance...
 
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Hrant said:
Hello, my question about calculating the probability in tennis
I know that to calculate Pwos (probability of point won on oun serve ) for each player the following formula is used...

# P(no Fault) -The probability a player's first serve not faulting

# P(win/no Fault) -The probability a player will win the point if the first
service does not fault

# P(win/fault) -The probability a player will win the point on his second
serve

formula...
P(win) = P(noFault)P(win/noFault) + (1 - P(noFault))P(win/fault)

For an example
P(noFault) = 0,70
P(win/noFault) = 0,64
P(win/fault) = 0,55

P(win) = (0,70 * 0,64) + (1 - 0,70) *0,55 = 0,613

This is a global method for calculating Pwos for a particular player on a particular surface.
I know that to calculate the most correct (Pwos) for two players, in a particular match, on a particular surface,it is necessary that these players used to have personal meetings on the same surface.
please tell me how to use this fact that they used to play each other on this surface?
Sorry for my English
thanks in advance...

Hi Hrant,

Welcome to MHB!

This sounds like a real life problem, rather than a problem from a textbook or course. Am I right? If it's from a textbook, are we missing any additional information?
 
hello, I read the book "Prediction of In-Play Tennis" by Michelle Anne Viney. I have a question. this is about "UPDATING THE PWOS USING POINT IMPORTANCE" . the author says that when a player wins his game losing 0 points. his PWOS grows from 600 to 612. this means that the author uses twice the formula " PAwos(n)= PAwos(n-1)+(1-Ip(a,b))×Ɵ" in one game. initial Pwos=600, optimal(Ɵ)=0.005.
but i calculate with betfair and I see that it uses the formula
" PAwos(n)= PAwos(n-1)+(1-Ip(a,b))×Ɵ" just one time in a game , the rest of the time it uses this formula
" PAwos(n)= PAwos(n-1)±Ip(a,b)×Ɵ"
please tell me how to properly update Pwos with betfair?
I know that very few people can answer to this question...
Sorry for my English
I'm very grateful in advance...
 

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FORMULAS>>>

" PAwos(n)= PAwos(n-1)+(1-Ip(a,b))×Ɵ"

" PAwos(n)= PAwos(n-1)±Ip(a,b)×Ɵ"
 

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