@article{oai:ynu.repo.nii.ac.jp:00006934, author = {Alsmeyer, Gerold and Sgibnev, Mikhail}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, We study the exact tail behaviour of the supremum of a random walk defined on a finite Markov chain. The setting is that of subexponential distributions and the related $S(¥gamma)$ -classes of convolution equivalent distributions with exponential tails $(¥gamma>0)$ .}, pages = {139--159}, title = {ON THE TAIL BEHAVIOUR OF THE SUPREMUM OF A RANDOM WALK DEFINED ON A MARKOV CHAIN}, volume = {46}, year = {1999} }