4 papers · 1 filter
Limit theorem for randomly indexed sequence of random processes
Elena Permyakova
In this paper is proved the limit theorem for randomly indexed sequence of random processes in the case where sequences of random index and random processes are independent, also t…
Limit theorems for random processes with random time substitution
Elena Permyakova
In this paper the sufficient conditions for convergence in Skorokhod space of sequence of random processes with random time substitution are obtained.
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…
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…