Weak convergence for the covariance operators of a Hilbertian linear process

Stochastic Processes and their Applications

Volumn 99, Issue 1, 2002, Pages 117-135

  Mas, André ^a  

^a UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

Covariance operators; Linear operators on Hilbert space; Weak convergence of random elements

Indexed keywords

EID: 0036209018     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(02)00087-X     Document Type: Article

References (13)

1. Convergence of Probability Measures. Wiley Series in Probability and Mathematical Statistics
2. Linear Processes in Function spaces
3. Times Series: Theory and Method
4. Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
5. Linear operators
6. Classes of Linear Operators
7. Central limit theorem for stationary processes in Hilbert space
8. Principal component analysis in Hilbert space: A perturbation approach
9. Central limit theorem for linear processes with values in a Hilbert space
10. Functional Data Analysis
11. Some applications of Watson's perturbation approach to random matrices
12. Random Linear Operators. Mathematics and its Applications