@article{oai:ynu.repo.nii.ac.jp:00006791, author = {Szubarga, Antoni}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, We show that Brownian motion conditioned to be positive and tied-down is Brownian excursion. For a random walk defined by weakly dependent random variables, a conditional limit theorem is proved under some conditions on the path.}, pages = {87--90}, title = {WEAK CONVERGENCE TO BROWNIAN EXCURSION}, volume = {36}, year = {1989} }