ScholarLens Back to search
1986•Unpublished venueRequires access

STRONG MARKOV PROPERTY OF TWO-PARAMETER PROCESSES

Jing Zhou

Open publisher page 0 citations

Abstract

In this paper the general definitions of the strong Markov property and the strong optional (predicable, accessible, torally inaccessible) Markov property for twoparamoter processes are proposed and the relations between various strong Markov properties are discussed. These results are similar to those for one-parameter processes in [1]. Moreover, the following result is shown: two-parameter Feller processes with right continuous sample funotions possess the strong optional Markov property.

About this research paper

What this paper is about

In this paper the general definitions of the strong Markov property and the strong optional (predicable, accessible, torally inaccessible) Markov property for twoparamoter processes are proposed and the relations between various strong Markov properties are discussed. These results are similar to those for one-parameter processes in [1]. Moreover, the following result is shown: two-parameter Feller processes with right continuous sample funotions possess the strong optional Markov property.

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

In this paper the general definitions of the strong Markov property and the strong optional (predicable, accessible, torally inaccessible) Markov property for twoparamoter processes are proposed and the relations between various strong Markov properties are discussed. These results are similar to those for one-parameter processes in [1]. Moreover, the following result is shown: two-parameter Feller processes with right continuous sample funotions possess the strong optional Markov property.

Key concepts: Markov chain, Markov property, Property (philosophy), Markov process, Mathematics, Markov model, Variable-order Markov model, Applied mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
STRONG MARKOV PROPERTY OF TWO-PARAMETER PROCESSES — Research Paper | ScholarLens