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math.ST2010★ 66 cited
The semiparametric Bernstein-von Mises theorem
P. J. Bickel, B. J. K. Kleijn
In a smooth semiparametric estimation problem, the marginal posterior for the parameter of interest is expected to be asymptotically normal and satisfy frequentist criteria of opti…
math.ST2010
Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics
Peter J. Bickel, Marko Lindner
In the first part of this paper we give an elementary proof of the fact that if an infinite matrix , which is invertible as a bounded operator on , can be uniformly appr…