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Martin Boundary and the Number of Transient Tense of Markov Chain

Author: YangYaFei
Tutor: YanGuoJun
School: Zhengzhou University
Course: Probability Theory and Mathematical Statistics
Keywords: Maxkov chain Martin boundary Ray-Knight method Minimal transfer function Ray semigroup
CLC: O211.62
Type: Master's thesis
Year: 2011
Downloads: 11
Quote: 0
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Abstract


Containing instantaneous state Markov chain has been the problem of the Markov chain , existence and uniqueness is very complex to date, containing single instantaneous state and the existence of the circumstances has not been resolved . Because in dealing with the problem , Changsha School of Professor Hou Zhenting headed are starting to analysis and finite dimensional decomposition theorem , the probability of containing the instantaneous state of the Markov chain structure is so difficult to see from their results . start from Ray-Knight method , combined with the Martin boundary theory proved the number of transient states of the Markov chain , Martin can not exceed the number of positive outflow boundary and to disseminate the conclusions on the the limited instantaneous state situation .

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CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Theory of probability ( probability theory, probability theory ) > Random process > Markov process
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