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不可约闭集的余集为有限集的Markov链的吸收概率

李长文

青岛大学学报(自然科学版)2003,Vol.16Issue(3):5-11,7.
青岛大学学报(自然科学版)2003,Vol.16Issue(3):5-11,7.

不可约闭集的余集为有限集的Markov链的吸收概率

ABSORPTION PROBABILITIES OF MARKOV CHAINS HAVING A FINITE COMPLEMENT OF IRREDUCIBLE CLOSED SETS

李长文1

作者信息

  • 1. 海军潜艇学院,山东,青岛,266071
  • 折叠

摘要

Abstract

The state space Ψ of a Markov chain Xn, n≥0,is decomposed into disjoint irreducible closed sets C1, C2, ..., Ck, ..., and their complement ΨT. In case ΨT is nonempty and finite, several formulas in terms of the transition function matrix for computing the absorption probabilities have been found, and some intuitive properties about the hitting time have also been proved.

关键词

Markov 链/转移概率矩阵/吸收概率

Key words

Markov chain/transition function matrix/absorption probability

分类

数理科学

引用本文复制引用

李长文..不可约闭集的余集为有限集的Markov链的吸收概率[J].青岛大学学报(自然科学版),2003,16(3):5-11,7.

青岛大学学报(自然科学版)

1006-1037

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