@article{oai:ynu.repo.nii.ac.jp:00006996, author = {Becker-Kern, Peter and Scheffler, Hans-Peter}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, By definition any stable distribution is semistable. For the converse relation we will show that certain logarithmic mixtures of semistable laws belong to the domain of normal attraction of a stable law. The mixtures themselves appear as limits for normalized sums of certain random numbers of random variables belonging to the domain of normal attraction of a semistable law. Combining the corresponding limit theorems, we observe a stable limit when starting in the domain of attraction of a semistable distribution. The results are given in a multivariate setting with operator normings and extend to the corresponding semi-selfsimilar respectively selfsimilar Levy processes.}, pages = {75--88}, title = {HOW TO FIND STABILITY IN A PURELY SEMISTABLE CONTEXT}, volume = {51}, year = {2005} }