Limit theorems for globally perturbed random walks

Alexander Iksanov, Oleh Kondratenko

Let $(\hat{I}{¾}_1,\hat{I}{\cdot }_1)$, $(\hat{I}{¾}_2,\hat{I}{\cdot }_2),\dots$ be independent copies of an ${\mathbb{R}}^2$-valued random vector $(\hat{I}¾,\hat{I}\cdot )$ with arbitrarily dependent components. Put $T_n:= ξ_1+\ldots+Î…