But how does using Paralyze with magic work? Possible to get the same out come and how?
For instance if I shot my enemy with Paralyzed arrow and the target didn't die but he was still paralyzed when I killed him with the second shot without poison on the arrow, he would not stay in the paralyzed 'form'.

http://elderscrolls.wikia.com/wiki/Deep_Freeze Destruction 60, Augmented Frost Frost damage paralyzes targets if their health is low