Some limit theorems on the increments of \(\ell^p\)-valued multi-parameter Gaussian processes

DOI10.1007/s10114-004-0414-3zbMath1088.60025OpenAlexW1997394560MaRDI QIDQ2577667

Kyo-Shin Hwang, Yong-Kab Choi, Seaung Hyune Lee, Zheng Yan Lin

Publication date: 5 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0414-3

zbMATH Keywords

stationary incrementslarge and small increments

Mathematics Subject Classification ID

Gaussian processes (60G15) Strong limit theorems (60F15)

Related Items (6)

Some results on increments of l^∞-valued random fields ⋮ Berry-Esseen type theorems and the uniform law of the iterated logarithm for LPQD processes ⋮ Path properties of \(l^p\)-valued Gaussian random fields ⋮ Limsup results and LIL for partial sum processes of a Gaussian random field ⋮ Asymptotic results for random processes ⋮ How small are the increments of partial sums of a discrete random field?

Cites Work

• Extremes and related properties of random sequences and processes
• Inequalities for increments of stochastic processes and moduli of continuity
• Fernique type inequalities and moduli of continuity for \(l^ 2\)-valued Ornstein- Uhlenbeck processes
• How big are the increments of a two-parameter Gaussian process?
• Strong limit theorems for large and small increments of \(\ell^ p\)- valued Gaussian processes
• How big are the increments of \(l^p\)-valued Gaussian processes?
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