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Some laws of the iterated logarithm in Hilbertian autoregressive models

Article ID Journal Published Year Pages File Type
10524533 Journal of Multivariate Analysis 2005 21 Pages PDF
Abstract
We consider the law of the iterated logarithm for the empirical covariance of Hilbertian autoregressive processes. As an application, we obtain laws of the iterated logarithm for the eigenvalues and associated projectors of the empirical covariance.
Keywords
60F1560B1262M9962H25Functional principal component analysisLaws of the iterated logarithm
Related Topics
Physical Sciences and Engineering Mathematics Numerical Analysis
Preview
Some laws of the iterated logarithm in Hilbertian autoregressive models
Authors
Ludovic Menneteau,
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Journal
Journal of Multivariate Analysis
Journal: Journal of Multivariate Analysis
Related Categories
60F15
60B12
62M99
62H25
Functional principal component analysis
Laws of the iterated logarithm
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
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