I will be begin by saying that I am not very familiar with statistics. I am calculating a drought index and I have a set of values. The next step in the procedure is to standardize the values to allow for comparing across regions and time scales. The paper that establishes this particular drought index fits their dataset to the log-logistic distribution and uses the probability distribution function to standardize the values. My dataset does not follow the log-logistic distribution, or any distribution for which I can test. Is there a procedure to standardize values that do not follow a distribution?
What I am trying to do is calculate the drought index values to use in an attempt to correlate the drought index with irrigation water demand.
Thanks in advance.