Work

A new criterion for recurrence of Markov chains with an infinitely countable set of states

Year: 2025

Type: article

Abstract: For a class of irreducible Markov chains with an infinitely countable set of states, we establish a new verifiable necessary and sufficient condition for recurrence. We show that if one of the basic assumptions is not satisfied, then the statement of the theorem becomes invalid.

Source: Theory of Probability and Mathematical Statistics

DOI: 10.1090/tpms/1224

Author: Vyacheslav Abramov

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4410236308

FWCI:

Cites: 9

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Related to: 10