2 papers
math.PR2009
Functional limit theorems for Levy processes and their almost-sure versions
E. E. Permyakova
In this paper we prove a criterion of convergence in distribution in Skorokhod space. We apply this criterion to some special Levy processes and obtain almost-sure versions of limi…
math.PR2009
A continuous analogue of the invariance principle and its almost sure version
E. E. Permyakova
We deal with random processes obtained from a homogeneous random process with independent increments by replacement of the time scale and by multiplication by a norming constant. W…