2003•Mathematica ApplicataRequires access

The Strong Law of Large Numbers for Markov Chains in Markovian Environments

Guo Mingle

Abstract

In this paper,a strong law of large numbers for funct io n of countable Markov chains in Markovian environments are investigated.Moreover ,some sufficient conditions on the jointly Markov chains and sample function of the jointly Markov chains are given.At last,R θchains are systematically studied,some sufficient conditions for the strong law of large numbers to hold for function of Markov chains in Markovian environments are obtained.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Markov chain, Markov process, Examples of Markov chains, Markov chain mixing time, Markov property, Balance equation, Countable set, Markov renewal process