Silence in Shakespeare's "The Winter's Tale" and "The Tempest"

Question

I'd like to know what silence means in those two plays, especially when performed by Leontes and Antonio. Does it have a particular meaning, is it a sign of redemption or regret?

(The Winter's Tale act 5 scene 3 for Leontes' silence and The Tempest act 5 scene 1 for Antonio's.)