Kuelbs, J.; Philipp, Walter Almost sure invariance principles for partial sums of mixing B-valued random variables. (English) Zbl 0451.60008 Ann. Probab. 8, 1003-1036 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 80 Documents MSC: 60B12 Limit theorems for vector-valued random variables (infinite-dimensional case) 60B05 Probability measures on topological spaces 60F15 Strong limit theorems 60G17 Sample path properties 60B10 Convergence of probability measures 60F17 Functional limit theorems; invariance principles Keywords:Brownian motion in a Banach space; mixing random variables; almost sure invariance principles; law of the iterated logarithm; approximation of partial sums of Banach space valued variables PDF BibTeX XML Cite \textit{J. Kuelbs} and \textit{W. Philipp}, Ann. Probab. 8, 1003--1036 (1980; Zbl 0451.60008) Full Text: DOI OpenURL