# Convergence Rate Estimates for Countable Markov Chains with Absorption at Zero

## Abstract

Nonstationary countable Markov chains with continuous time and absorption at zero are considered. We study the convergence rate to the limit mode. As examples, we consider simple nonstationary random walks.

- Authors:

- Vologda State University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771588

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 228; Journal Issue: 5; Conference: International seminar on stability problems for stochastic models, Zakopane (Poland), 31 May - 5 Jun 2009; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; CONVERGENCE; GRAPH THEORY; MARKOV PROCESS; RANDOMNESS

### Citation Formats

```
Zeifman, A. I., E-mail: a-zeifman@mail.ru, and Chegodaev, A. V.
```*Convergence Rate Estimates for Countable Markov Chains with Absorption at Zero*. United States: N. p., 2018.
Web. doi:10.1007/S10958-017-3647-2.

```
Zeifman, A. I., E-mail: a-zeifman@mail.ru, & Chegodaev, A. V.
```*Convergence Rate Estimates for Countable Markov Chains with Absorption at Zero*. United States. doi:10.1007/S10958-017-3647-2.

```
Zeifman, A. I., E-mail: a-zeifman@mail.ru, and Chegodaev, A. V. Thu .
"Convergence Rate Estimates for Countable Markov Chains with Absorption at Zero". United States. doi:10.1007/S10958-017-3647-2.
```

```
@article{osti_22771588,
```

title = {Convergence Rate Estimates for Countable Markov Chains with Absorption at Zero},

author = {Zeifman, A. I., E-mail: a-zeifman@mail.ru and Chegodaev, A. V.},

abstractNote = {Nonstationary countable Markov chains with continuous time and absorption at zero are considered. We study the convergence rate to the limit mode. As examples, we consider simple nonstationary random walks.},

doi = {10.1007/S10958-017-3647-2},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 5,

volume = 228,

place = {United States},

year = {2018},

month = {2}

}

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