Does anyone know of a quantification of the modality of a distribution?
For example, exactly how "high" must the "second" peak be in order to qualify as bimodal rather than unimodal with some un-smooth regions? what about tri-modal?
I have discrete distributions in mind, but the question is general.
I am looking for a quantification because I would like to programmatically "classify" the modality (uni-, bi-, tri-, 4+) of thousands of distributions, and then tally up how many e.g. bimodal distributions I have observed.
I have invented some measures myself, but of course I would like to use an established method, if one exists.