%0 Journal Article
%T On the well-posedness of multivariate spectrum approximation and convergence of high-resolution spectral estimators
%A Federico Ramponi
%A Augusto Ferrante
%A Michele Pavon
%J Mathematics
%D 2009
%I arXiv
%X In this paper, we establish the well-posedness of the generalized moment problems recently studied by Byrnes-Georgiou-Lindquist and coworkers, and by Ferrante-Pavon-Ramponi. We then apply these continuity results to prove almost sure convergence of a sequence of high-resolution spectral estimators indexed by the sample size.
%U http://arxiv.org/abs/0911.0440v1