Abstract
We present an approximation result for strongly mixing random vectors and establish some probability inequalities for partial sums of dependent random vectors in finite and infinite dimensional cases. We apply these results to strong law of large number for absolute regular Banach or Hilbert-valued processes. To cite this article: N. Rhomari, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 149–154
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