3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.PR2022
On the central limit theorem for homogeneous discrete-time nonlinear Markov chains
Aleksandr Shchegolev
The class of nonlinear Markov processes is characterized by the dependence of the current state of the process on its current distribution in addition to the dependence on the prev…
math.PR2021★ 3 cited
A new rate of convergence estimate for homogeneous discrete-time nonlinear Markov chains
Aleksandr A. Shchegolev
In the paper, we study a new rate of convergence estimate for homogeneous discrete-time nonlinear Markov chains based on the Markov-Dobrushin condition. This result generalizes the…
math.PR2021
On rate of convergence estimates for homogeneous discrete-time nonlinear Markov chains
Aleksandr Shchegolev
The paper studies an improved estimate for the rate of convergence for nonlinear homogeneous discrete-time Markov chains. These processes are nonlinear in terms of the distribution…