Stationary distributions and ergodicity of reflection-type Markov chains (Q2170248)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stationary distributions and ergodicity of reflection-type Markov chains |
scientific article |
Statements
Stationary distributions and ergodicity of reflection-type Markov chains (English)
0 references
30 August 2022
0 references
The paper considers a so-called reflection-type Markov chain (RTMC). This RTMC is usually used to characterize some process features in stochastic control and operations management. Regarding that this RTMC is the Feller chain, the existence of its stationary distributions is proved. Also, ergodicity of this RTMC is obtained by constructing the small set. Moreover, for the non-ergodic case, the system dynamics are completely described.
0 references
Markov chain
0 references
ergodicity
0 references
stationary distribution
0 references
Feller chain
0 references
small set
0 references
