2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.PR2020
Jackson network in a random environment: strong approximation
Elena Bashtova, Elena Lenena
We consider a Jackson network with regenerative input flows in which every server is subject to a random environment influence generating breakdowns and repairs. They occur in acco…
math.PR2020★ 2 cited
Strong Gaussian approximation for cumulative processes with heavy tails
Elena Bashtova, Alexey Shashkin
This paper is a continuation of work arXiv:2006.09583 devoted to establishment of the convergence rate in the strong invariance principle for cumulative processes. We establish opt…
math.PR2020
Strong Gaussian approximation for cumulative processes
Elena Bashtova, Alexey Shashkin
We establish optimal logarithmic rates of convergence in the strong invariance principle for multivariate cumulative processes in the Smith's sense. Exponential probabilistic inequ…