To the OP:
You haven't stated whether you are applying to graduate programs in the US or outside of the US (in your profile page, you do state that you are from the US). Nor have you specified what your academic background is (from your handle name, I assume you have a math background, but please elaborate further).
At any rate, if you are looking at graduate programs in the US, based on people I know who graduated from these schools, among the top schools for graduate programs in statistics (both theoretical and applied) are Stanford and Berkeley. Other top schools in statistics include the University of Chicago, Harvard, Cornell, UNC, University of Washington, University of Michigan, Carnegie Mellon, and Duke. There may be other schools that I might have missed, so others can chime in.