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Wiener processes with values in separable Orlicz spaces are investigated. There is constructed an analogue of the abstract Wiener space of a Wiener measure on the space of all continuous functions ...
We prove upper estimates for the tail prebabibties: of quadratic and bilinear forms in independent subgaussian randarn vslriabb. These inequalities are used to get upper esthatcs in thc law diterat...
Anscombe laws of the iterated logarithm
Suppose X, XI, X,, ... are i.i.d. random vectors, S, = z:= Xi and A, are linear operators such that A, S, converges in law to some full random vector I: Then we say that X belongs to the shkt gener...
Consider independent and identically distributed random variables (X, XRj, I < j < k, k > 1) from a particular distribution with EX = oo. We show that there exists an unusual generalized Law of the...
A law of iterated logarithm is established lot the maximum likelihood estimator of the unknown parameter of the explosive Gaussian autoregressive process. Outside the Gaussian case, we show that th...
Let (X,, n 2 1) be a sequence of independent identically distributed random variables with a common distribution function F and let S,, = xy=,Xj, n 2 1. When F belongs to the domain of partial attr...

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