How big are the increments of a multi-parameter Wiener process?
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Publication:4127748
DOI10.1007/BF00534203zbMath0356.60031OpenAlexW122243203MaRDI QIDQ4127748
Publication date: 1978
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00534203
Brownian motion (60J65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
Related Items (11)
Some limit theorems for fractional Lévy Brownian fields ⋮ A remark on the multiparameter law of the iterated logarithm ⋮ Limsup results and LIL for finite dimensional Gaussian random fields ⋮ SOME LIMIT THEOREMS ON THE INCREMENTS OF A MULTI-PARAMETER FRACTIONAL BROWNIAN MOTION ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4150921 On large intervals in the Cs�rg?-R�v�sz theorem on increments of a Wiener process] ⋮ How small are the increments of a Wiener process? ⋮ A generalization of Strassen's functional law of iterated logarithm ⋮ Asymptotic behaviors for the increments of Gaussian random fields ⋮ Asymptotic behavior of increments of random fields ⋮ On the increments of partial sum processes with multidimensional indices ⋮ A general form of the increments of a two-parameter Wiener process
Cites Work
- On Strassen's version of the law of the iterated logarithm for the two- parameter Gaussian process
- How big are the increments of a Wiener process?
- Laws of iterated logarithm of multiparameter Wiener processes
- Sample functions of the \(N\)-parameter Wiener process
- On a new law of large numbers
- An approximation of partial sums of independent RV'-s, and the sample DF. I
- The law of the iterated logarithm for normalized empirical distribution function
- Some Sample Function Properties of the Two-parameter Gaussian Process
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