Rates of clustering in the Strassen law for random polygons
β Scribed by A. V. Bulinskii; M. A. Lifshits
- Publisher
- Springer US
- Year
- 1999
- Tongue
- English
- Weight
- 397 KB
- Volume
- 93
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
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
## Let {x,x~ ; n >\\_ 1} be a sequence of i.i.d, random variables. Set Sn = X1 + X2 + β’ .. +Xn and M,~ = maxk 1. By using the strong approximation method, we obtain that for any -1 if and only if EX = 0 and EX 2 < oo, which strengthen and extend the result of Gut and Sp~taru [1], where N is the stan