ScholarLens Back to search
2004•Journal of Hebei University of TechnologyRequires access

Some Limit Theorem for Countable m-Valued Nonhomogeneous Two-order Markov Chains

Li Ma

Open publisher page 0 citations

Abstract

The purpose of this paper is to study some limit theorems for m-valued countable nonhomogeneous two-order Markov Chains in Wiener probability space by using an analytic method, which was invented by Professor Liu Wen. In this paper some limit theorems on one-order Markov Chains are extended to nonhomogeneous two-order Markov Chains. In the proof,the application of Lebesgue's theorem on differentiability of monotone functions is proposed.

About this research paper

What this paper is about

The purpose of this paper is to study some limit theorems for m-valued countable nonhomogeneous two-order Markov Chains in Wiener probability space by using an analytic method, which was invented by Professor Liu Wen. In this paper some limit theorems on one-order Markov Chains are extended to nonhomogeneous two-order Markov Chains. In the proof,the application of Lebesgue's theorem on differentiability of monotone functions is proposed.

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

The purpose of this paper is to study some limit theorems for m-valued countable nonhomogeneous two-order Markov Chains in Wiener probability space by using an analytic method, which was invented by Professor Liu Wen. In this paper some limit theorems on one-order Markov Chains are extended to nonhomogeneous two-order Markov Chains. In the proof,the application of Lebesgue's theorem on differentiability of monotone functions is proposed.

Key concepts: Mathematics, Markov chain, Countable set, Examples of Markov chains, Limit (mathematics), Differentiable function, Lebesgue integration, Discrete mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Some Limit Theorem for Countable m-Valued Nonhomogeneous Two-order Markov Chains — Research Paper | ScholarLens