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Estimation of the spectral measure of multivariate regularly varying distributions
regularly varying distributions estimation of parameters stable distributions spectral measure
2010/12/9
In the paper, the estimator for the spectral measure of multivariate stable distributions introduced by Davydov and co-workers are extended to the regularly varying distributions. The sampling method ...
Resolvent at low energy III: the spectral measure
scattering metric resolvent kernel spectral measure
2010/12/7
Let M◦ be a complete noncompact manifold and g an asymptotically conic Riemaniann metric on M◦, in the sense that M◦ compactifies to a manifold with boundary M in such a way that g b...
Concentration of the Spectral Measure for Large Matrices
Random Matrices concentration inequalities non-commutative functionals
2009/5/4
We derive concentration inequalities for functions of the empirical measure of eigenvalues for large, random, self adjoint matrices, with not necessarily Gaussian entries. The results presented apply ...
Concentration of the Spectral Measure for Large Random Matrices with Stable Entries
Spectral Measure Random Matrices Infinitely divisibility Stable Vector Concentration
2010/4/29
We derive concentration inequalities for functions of the empirical
measure of large random matrices with infinitely divisible entries and,
in particular, stable ones. We also give concentration res...