On delayed averages of Brownian motion in Banach spaces

Mou-Hsiung Chang

Journal of Multivariate Analysis, 1979, vol. 9, issue 3, 434-441

Abstract: Let {W(t): t >= 0} be [mu]-Brownian motion in a real separable Banach space B, and let aT be a nondecreasing function of T for which (i) 0 = 0), (ii) aT/T is nonincreasing. We establish a Strassen limit theorem for the net {[xi]T: T >= 3}, where

Keywords: Gaussian; measures; abstract; Wiener; space; Brownian; motion; in; Banach; spaces; Strassen; law; of; the; iterated; logarithm (search for similar items in EconPapers)
Date: 1979
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