Strassen's Law of the Iterated Logarithm. xλ(t) = 1 √λlog log λx(λt).
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STRASSEN'S LAW OF THE ITERATED LOGARITHM. 173 by a Hilbert space Jf in CE. Indeed, Theorem 4 of [4] shows that. (1.1) fec^:f{t)=s r^^))^ ^o ^ < i. Jr == ^i JQ ...
Dec 21, 2022 · Abstract:We establish the Strassen's law of the iterated logarithm for independent and identically distributed random variables with ...
Let S n be the sum of the first n of a sequence of independent identically distributed r. v. s. having mean 0 and variance 1. One version of the law of the.
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Abstract. Strassen's law of the iterated logarithm for Brownian motion is extended to a class of Gaussian processes. Let {X(t),t≧0} { X ( t ) , t ...
In probability theory, the law of the iterated logarithm describes the magnitude of the fluctuations of a random walk. The original statement of the law of ...
[0, 1] by setting Hn(s) = X(ns)/(2n log log n)i for each s. Then with probability one, the sequence (Ha) is relatively compact in the uniform topology on ...
Abstract. We study the Strassen's law of the iterated logarithm for diffusion processes for small values of the parameter. For the Brownian Motion this result ...
Chapter 12. Strassen's Functional Law of the Iterated Logarithm was published in Brownian Motion on page 173.
Abstract. Strassen's version of the law of the iterated logarithm is extended to the two-parameter Gaussian process {X(s, t); ϵ(s, t) ∈[0, ∞)2} with the ...