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On strassen-type laws of the iterated logarithm for gaussian elements in abstract spaces

✍ Scribed by Gian -Carlo Mangano


Publisher
Springer
Year
1976
Tongue
English
Weight
627 KB
Volume
36
Category
Article
ISSN
1432-2064

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On the rate of convergence in Strassen's
✍ Karl Grill πŸ“‚ Article πŸ“… 1987 πŸ› Springer 🌐 English βš– 198 KB

Let W(t) be a standard Wiener process and let 5 p be the compact class figuring in Strassen's law of the iterated logarithm. We investigate the rate of convergence to zero of the variable It is shown that as T~oo, (loglog T) -~ belongs to the upper class of this variable if e<~, and to the lower cl