Abstract: | We study random processes from quasi-BanachK
σ-spaces of random variables whose domain of definition is not necessarily a compact set. We establish conditions under which
the supremum of a properly normalized process belongs to the same space as the process itself. We also obtain estimates for
the norm of this supremum.
Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 7, pp. 918–930, July, 1999. |