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Perturbation Approach Applied to the Asymptotic Study of Random Operators
[chapter]
2003
High Dimensional Probability III
Preserved Fulltext
We prove that, for the main modes of stochastic convergence (law of large numbers, CLT, deviations principles, LIL) asymptotic results for selfadjoint random operators yield equivalent results for their eigenvalues and associated projectors. Statistical applications are mentioned. University Toulouse III -CREST-Insee, Paris y University Montpellier 2 1
doi:10.1007/978-3-0348-8059-6_8
fatcat:ns5km4kvzzcwfa5s2wmo4igt6e