@article{oai:ynu.repo.nii.ac.jp:00006732, author = {Kanagawa, Shuya}, issue = {1&2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, A convergence rate in the invariance principle for martingale difference arrays is obtained. The rate obtained depends essentially on the asymptotic behavior of the conditional variances. An example which shows the rate obtained is exact is shown. It will be also remarked, by an example, that the convergence rate in the central limit theorem is not always faster than the one in the invariance principle.}, pages = {153--158}, title = {AN EXACT RATE OF CONVERGENCE IN THE INVARIANCE PRINCIPLE FOR MARTINGALE DIFFERENCE ARRAYS}, volume = {32}, year = {1984} }