A remark on the multiparameter law of the iterated logarithm
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Publication:1123478
DOI10.1016/0304-4149(89)90085-9zbMath0677.60032OpenAlexW2062745752MaRDI QIDQ1123478
Publication date: 1989
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4149(89)90085-9
Gaussian processes (60G15) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)
Related Items (8)
Some limit theorems for fractional Lévy Brownian fields ⋮ A liminf result on two-parameter Gaussian process ⋮ Generalization of the law of the iterated logarithm for associated random fields ⋮ Increments and sample path properties of Gaussian processes ⋮ A version of the law of iterated logarithm for sums of dependent multi-indexed random variables ⋮ Some \(\liminf\) results for two-parameter processes ⋮ Two different kinds of liminfs on the LIL for two-parameter Wiener processes ⋮ Asymptotic behaviors for the increments of Gaussian random fields
Cites Work
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- Extremes and related properties of random sequences and processes
- The Brunn-Minkowski inequality in Gauss space
- On Strassen's version of the law of the iterated logarithm for the two- parameter Gaussian process
- Laws of iterated logarithm of multiparameter Wiener processes
- Sample functions of the \(N\)-parameter Wiener process
- Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
- The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
- Approximation of rectangular sums of B-valued random variables
- How big are the increments of a multi-parameter Wiener process?
- Some Sample Function Properties of the Two-parameter Gaussian Process
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