The Proof of Strong Markov Property Based on one Definition

In this paper, for countable homogeneous Markov process, we prove strong Markov property defining by [2] are valid. So for an arbitrary countable homogeneous Markov process is a strong Markov process.2000 Mathematics Subject Classification. Primary 60J25, 60J27.

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Bibliographic Details
Published inApplied Mechanics and Materials Vol. 742; no. Sensors, Mechatronics and Automation II; pp. 419 - 428
Main Authors Dong, Yi Xuan, Tang, Rong
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.03.2015
Subjects
Classification
Markov processes
Mathematical analysis
Proving
Homogeneity
Markov Process
δ-Algebra Prior to α
Strong Markov Property
Markov Property
Stopping Time
Online AccessGet full text
ISBN3038354236
9783038354239
ISSN1660-9336
1662-7482
1662-7482
DOI10.4028/www.scientific.net/AMM.742.419

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Summary:In this paper, for countable homogeneous Markov process, we prove strong Markov property defining by [2] are valid. So for an arbitrary countable homogeneous Markov process is a strong Markov process.2000 Mathematics Subject Classification. Primary 60J25, 60J27.
Bibliography:Selected, peer reviewed papers from the 2014 2nd International Conference on Sensors, Mechatronics and Automation (ICSMA 2014), December 28-29, 2014 Shenzhen, China
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ISBN:3038354236
9783038354239
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.742.419