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We present a proof of Minami type estimates for one dimensional randomSchr\"odinger operators valid at all energies in the localization regimeprovided a Wegner estimate is known to hold. The Minami type estimates are thenapplied to various models to obtain results on their spectral statistics. Theheuristics underlying our proof of Minami type estimates is that close byeigenvalues of a one-dimensional Schr\"odinger operator correspond either toeigenfunctions that live far away from each other in space or they come fromsome tunneling phenomena. In the second case, one can undo the tunneling andthus construct quasi-modes that live far away from each other in space.

Inverse tunneling estimates and applications to the study of spectral statistics of random operators on the real line