Another viewpoint of this is that the antiparticle created can be viewed as the normal particle, but traveling backward in time. In this view, the particle escapes from the black hole, traveling backward in time, and then scatters, and reverting to normal timeflow.

Yet another view is that a particle can quantum tunnel out of a black hole. The chances of this happening increase as the black hole shrinks (shorter distance to tunnel) and thus a small black hole emits more radiation than a large one. The energy output increases greatly as the black hole gets miniscule, ending in a explosion of sorts as the hole evaporates completely, having lost all of its mass/energy in radiation.

The hawking radiation corresponds exactly to perfectly normal thermal radiation from a blackbody object, and can be used to calculate the 'surface temperature' of the black hole.