A strong invariance principle for nonconventional sums

Details A strong invariance principle for nonconventional sums A strong invariance principle for nonconventional sums

2010-12-13

arxiv.org/abs/1012.2798v1

Mathematics

Probability

17 pages

Scientific paper

This paper deals with strong invariance principles (known also as strong
approximation theorems) for sums of the form
$\sum_{n=1}^{[Nt]}F\big(X(n),X(2n),...,X(kn), X(q_{k+1}(n)),X(q_{k+2}(n)),...,
X(q_\ell(n))\big)$

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