My problem is as follows: Consider two PDFs - one normal distribution (let's call it norm) , and one exponentially modified normal distribution (exponorm). Given a point X, F is the fractional ratio of the area of norm and the area of exponorm between point X and infinity. I.e. F = (1 - exponorm.CDF(X))/(1 - norm.CDF(X)) .
I am specifically looking at the scipy function https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.exponnorm.html, and trying to work out how I can input a value for F, as well as all other parameters norm and exponorm require, and then output a value for K as defined in the link.
Tl;dr how do I extract an argument for a PDF given a value for the CDF and all other parameters.
Thanks in advance :)