I am working on a problem that I think it would be useful to express kurtosis in terms of skew (if possible) to establish some restrictions on the distributions I am handling. I was wondering if there is a way to do that?
Sorry for being unclear with my question, the problem is that I want to figure out the condition that the skew of a sample need s to be in order to have sample kurtosis greater than 3
Base on the answers I've received. It appears that I need additional constraints such as a defined distribution.
To further refine my problem, then, ff the sample in question is Johnson-SU distribution, is there a way to figure out the condition that the skew of this sample needs to be in order to have sample kurtosis greater than 3?