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Ito Excursion and Egodicity of a Singular Makov Chain

Author: LiDongXia
Tutor: YanGuoJun
School: Zhengzhou University
Course: Applied Mathematics
Keywords: Ito run Traversal Strongly ergodic Exponential ergodicity
CLC: O211.62
Type: Master's thesis
Year: 2009
Downloads: 5
Quote: 0
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Abstract


In this paper , we use Ito run theory to examine a Singular Markov chain ergodicity , and gives estimates of the convergence rate of such index traversal . Given Markov chain first Ray-Knight compactification , the introduction of the concept and the nature of the leave ∞ run , and then use the Run Theory and poisson point process method discussed such Markov chain ergodicity , strong ergodicity and index ergodicity . As can be seen from this article , the convergence rate of this type of process depends on the structure of its run , and meet E i < / sup > [ the e λσj < / sup >] < ∞ λ value .

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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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