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随机环境中的相似生灭过程族

Class of Similar Birth and Death Processes in Random Environment
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摘要 引入了随机环境中的相似生灭过程的概念,并讨论了它们的一些性质,在此基础上构造出了与给定的随机环境中的生灭过程X 相似的一族随机环境中的生灭过程:{X(x),x∈[0,b]}. We introduce the concepts of similar birth and death process in random environments and discuss their propoties. Moreover,for a given birth and death process in random environment X~* ,we construct a class of birth and death processes { X^((x)):0≤x≤b} which are similar to X~*.
出处 《武汉大学学报(理学版)》 CAS CSCD 北大核心 2004年第3期283-286,共4页 Journal of Wuhan University:Natural Science Edition
基金 国家自然科学基金资助项目(10071058 2) 武汉大学创新基金资助项目
关键词 随机转移矩阵 随机密度矩阵 随机环境 相似生灭过程 random transition matrix random density matrix random environment similar birth and death process
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参考文献9

  • 1Nawrotzki K.Discrete Open System of Markov Chains in a Random Environment I[J]. J Inform Process Cybernet,1981,17:569-599.
  • 2Nawrotzki K.Discrete Open System of Markov Chains in a Random Environment Ⅱ[J]. J Inform Process Cybernet,1982,18:83-98.
  • 3Cogburn R.Markov Chains in Random Environments.The Case of Markovian Environments [J].Ann Probab,1980,(8):908-916.
  • 4Cogburn R.The Ergodic Theory of Markov Chains in Random Environments[J]. Z Wahrach Verw Gebiete,1984,66:109-128.
  • 5Cogburn R.On Direct Convergence and Periodicity for Transition Probabilities of Markov Chains in Random Environments[J].Ann Probab,1990,18:642-654.
  • 6Orey S.Markov Chains with Stochastically Stationary Transition Probabilities[J]. Ann Probab,1991,19:907-928.
  • 7胡迪鹤.随机环境中的生灭过程的基本概念及存在性[J].武汉大学学报(理学版),2003,49(1):1-5. 被引量:7
  • 8Lenin R B.Families of Birth-Death Processes with Similar Time Dependent Behaviour[J]. J Applied Probability,2000,37(3):835-849.
  • 9Chihara T S.The Parameters of a Chain Sequence[J]. Proc Amer Math Soc,1990,108:775-780.

二级参考文献10

  • 1Nawrotzki K. Discrete Open System of Markov Chains in a Random Environment, Ⅰ[J]. J Inform Process Cybernet, 1981,17:569-599.
  • 2Nawrotzki K.Discrete Open System of Markov Chains in a Random Environment,Ⅱ[J].J Inform Process Cybernet,1982,18:83-98.
  • 3Cogburn R. Markov Chains in Random Environments. The Case of Markovian Environments [J]. Ann Probab, 1980,(8):908-916.
  • 4Cogburn R. The Ergodic Theory of Markov Chains in Random Environments [J]. Z Wahrach Verw Gebiete, 1984,66:109-128.
  • 5Cogburn R. On Direct Convergence and Periodicity for Transition Probabilities of Markov Chains in Random Environments [J]. Ann Probab, 1990,18:642-654.
  • 6Cogburn R. On the Central Limit Theorem for Markov Chains in Random Environments[J]. Ann Probab, 1991,19:587-604.
  • 7Orey S. Markov Chins with Stochastically Stationary Transition Probabilities[J]. Ann Probab, 1991,19:907-928.
  • 8Ritter G. A Continuous-Time Analogue of Random Walk in a Random Evironment[J] J Appl Probab, 1980,17:259-264.
  • 9Hu Di-he. The Theory of Denumerable Markov Processes [M]. Wuhan:Wuhan Unviersity Press,1983(Ch).
  • 10Hu Di-he. Stochastic Processes,Basis, Theory and Applications [M]. Wuhan:Wuhan University Press, 2000(Ch).

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