A Strong Convergence Theorem for Stationary Gaussian Sequences in a Hilbert Space

DOI10.2307/2042396zbMath0462.60007OpenAlexW4253828654MaRDI QIDQ3911772

Chandrakant M. Deo

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042396

zbMATH Keywords

stationary sequence of Gaussian random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• A note on stationary Gaussian sequences
• A strong convergence theorem for Banach space valued random variables
• How big are the increments of a Wiener process?
• Joint Measures and Cross-Covariance Operators
• [https://portal.mardi4nfdi.de/wiki/Publication:4084475 Convergence en loi et lois du logarithme it�r� pour les vecteurs gaussiens]
• Almost sure invariance principles for partial sums of weakly dependent random variables
• Strassen type limit points for moving averages of a wiener process
• The Law of the Iterated Logarithm for Brownian Motion in a Banach Space
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A Strong Convergence Theorem for Stationary Gaussian Sequences in a Hilbert Space