@article{oai:ynu.repo.nii.ac.jp:00006822, author = {Rychlik, Z. and Zygo, J.}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, Let $Z_{+}^{d}$ , where $d¥geqq 1$ is an integer, denote the positive integer d-dimensional lattice points. Let $¥{Y_{n}, n¥in Z_{+}^{a}¥}$ be a set of random variables. Let $¥{N_{n}, n¥in Z_{+}^{d}¥}$ be a set of $Z_{+}^{d}$-valued random variables. In this paper we study almost sure convergence of the random field $¥{Y_{N_{n}}, n¥in Z_{+}^{d}¥}$ as $ n¥rightarrow¥infty$ . We introduce an almost sure version of Anscombe condition and study its consequences in strong limit theorem.}, pages = {95--101}, title = {ALMOST SURE CONVERGENCE OF SEQUENCES WITH RANDOM INDICES}, volume = {38}, year = {1991} }