Very simple. I want a function to manipulate a probability in order increase it without getting out of the range of 0 to 1.
Basically a function similar to the blue lines in the following sketch:
This is to tweak a a computer simulation, so any ideas are welcome. I would be trying several of them. Right now, I can just thing of:
f(x)=1-(1-x)^a
I came up with it, but I would prefer a more standard approach for what it seems a common task, rather than a sui generis function that I am not sure it is often used.