Sears actually put in a financial statement a couple weeks ago that they don't feel confident they're going to make it. Macy's is on the way out as well. This is a shift I never thought I'd see and it seems to be happening at an extremely fast pace.
While I can't speak to Macy's - Sears has been dying for a very long time, since the early 90's at least. (Long story short, as retail trends have shifted - Sears has been coasting on reputation.) Amazon may have accelerated their demise, but the writing has been on the wall for decades.