Projected offsets for long-duration GRBs (black), short-duration GRBs (red), core-collapse supernovae (green), and type Ia (white dwarf progenitor) supernovae (blue).  Short-duration GRBs have much larger offsets than any other stellar explosion, indicating an older population and (likely) a large kick velocity imparted at birth.  Remarkably, the distribution is quite similar to predictions from population synthesis models of binary neutron star mergers.  From \cite{Fong2013}.