Inverse logistic function
The inverse logistic function or log-odds function is a function from the open interval to all of defined as follows:
The function may be extended to a function with the value at 0 defined as and the value at 1 defined as .
Given a probability (strictly between 0 and 1) the inverse logistic function computes the logarithm of the corresponding odds. Explicitly, the odds corresponding to probability are:
The logarithm of the odds is therefore: