Derive Asian Handicap odds

[paparainbow]

Hi, i have a question that initially I thought it was simple, but that’s not the case i guess.

Let’s say i have a model, and i can calculate the probability of all correct scores for a given match ( it really doesn’t matter the model as long as i have a probability density function f(x,y) that returns correct score x-y).

 

How can I calculate asian handicaps 0, 0.25, 0.5, 0.75 etc?

0.5 is easy, i take all matches that x>=y (0-0,1-0,2-0....., 1-1,2-1,3-1,..... )

similarly 1.5: x>=y+1 etc

 

what about the asian handicaps? Any idea?