sillybuffalo
New member
- Joined
- Sep 18, 2013
- Messages
- 9
Suppose you knew the consecutive odds ratios R(k) = P(k)/P(k - 1) of a distribution P(0), . . . , P(n). Find a formula for P(k) in terms of R(1), ..., R(n).
This is how far I got:
R(1) = P(1) / P(0)
P(1) = R(1)*P(0)
P(2) = R(2)*P(1)
Thus,
P(k) = R(k)*R(k-1)*R(k-2)...*R(1)*P(0)
I don't know how to get rid of the P(0) term to express everything in terms of R. Can someone point me in the right direction?
This is how far I got:
R(1) = P(1) / P(0)
P(1) = R(1)*P(0)
P(2) = R(2)*P(1)
Thus,
P(k) = R(k)*R(k-1)*R(k-2)...*R(1)*P(0)
I don't know how to get rid of the P(0) term to express everything in terms of R. Can someone point me in the right direction?