Limit theorems for globally perturbed random walks

Alexander Iksanov, Oleh Kondratenko

Let $({\xi }_1,{\eta }_1)$, $({\xi }_2,{\eta }_2),\dots$ be independent copies of an ${\mathbb{R}}^2$-valued random vector $(\xi ,\eta )$ with arbitrarily dependent components. Put $T_n:= ξ_1+\ldots+ξ_{n-1}…