Correct me if I'm wrong, but I would guess the GUI equivalents are:
Unit - Unit Stops casting an ability
Unit - Unit Finishes casting an ability
The first one happens when your unit gets interrupted - by getting stunned, by moving, by issuing another order.
The second one happens only when units casts the spell the whole time and the spell does end - it does not fire when the caster gets interrupted by outside source.
For comparison, let's say a Priestess of the Moon is channeling her Starfall ability. Let's say the ability lasts for 30 seconds.
If during that 30 seconds she gets stunned/moves/gets new order, she interrupts the spell and the "Unit stops casting an ability" event fire.
If she channels the spell for the whole 30 seconds, then the spell ends (simply because that's how long its effect lasts), so the "Unit finishes casting an ability" even fire.