A strong invariance principle for nonconventional sums
classification
🧮 math.PR
math.DS
keywords
stronginvariancesumsapproximationdealsformknownnonconventional
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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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