From your question it seems like you want to use Empirical IDF formula for your study. It would have been great if you expanded your question with the exact formula you are working on.
Empirical IDF formula proposed by Sherman, is one of the very commonly used IDF relationship. There are three parameters in the formula, i.e, a, b, and c, which vary with the meteorological localities. The determination of the a, b, and c values can then be accomplished in a systematic manner by using the method of least squares and an optimization technique (e.g. steepest descent) for optimizing an unconstrained problem. The details of this procedure you can find on the given link. Sometimes you can find these parameters already been calculated for your study area by some other researcher. So you can also give it a try.