Hi,
please give a link to a document, so we can discuss about the same thing.
Technically "I-RMS" just says the it is "current" and it is calculated using "RMS" method.
Theroetically you can calculate any current with RMS method. But it sometimes simply makes no sense.
"ripple" just means that the current is not constant. It is the AC part of a current.
usually this ripple refers to a frequency. Sometimes mains frequency, or the switching frequency of an SMPS.
Klaus
Besides "RMS" current there is "average" current (and maybe others).
RMS mainly is used needed in AC systems whereas average current is used in DC systems.
If you are interested to go deeper in this topic I recommend to read an applicatio not about the calculation of power dissipation of an SCR.
There you need both: RMS and average value to get the almost realistic result.
Neither "RMS" alone, nor "average" alone leads to a precise result.