期刊文献+

随机环境中马氏链转移函数的收敛性 被引量:3

THE CONVERGENCE FOR TRANSITION FUNCTIONS OF MARKOV CHAINS IN RANDOM ENVIRONMENTS
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摘要 本文研究了随机环境中马氏链转移函数的收敛性.利用Doeblin条件,得到了随机环境中一般状态马氏链转移函数弱收敛及强收敛的一些条件,以及收敛速度的一个估计. We study the convergence for Markov chain in random environment. Using the Doeblin condition, we obtain some conditions to ensure the Markov chain in random environment being weakly convergent and strongly convergent, then, we get an estimate of the convergence speed.
出处 《数学杂志》 CSCD 北大核心 2008年第5期546-550,共5页 Journal of Mathematics
基金 国家自然科学基金(10371092)
关键词 随机环境 转移函数 弱收敛 强收敛 随机Doeblin条件 random environment transition function weak convergence strong convergence random Doeblin condition
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参考文献9

  • 1Cogburn R. The ergodic theory of Markov chains in random environments[J]. Z Wahrach Verw Gebiete, 1984,66(2) : 109-128.
  • 2Cogbum R. On direct convergence and periodicity for transition probabilities of Markov chains in random environments[J]. Ann. Probab. 1990,18(2):642-654.
  • 3Cogburn R. On the central limit therem for Markov chains in random environments [J]. Ann. Probab. 1991, 19(3) :587-604.
  • 4Orey S. Markov chains with stochastically stationary transition probabilities[J]. Ann. Probab. 1991, 19(3) : 907-928.
  • 5Kifer Y. Perron-Frobenius theorem, large deviations, and random perturbations in random environments[J]. Markov. Z. 1996,222(4) :677-698.
  • 6Kifer Y. Limit theorems for random transformations and processes in random environments [J]. Trans. Amer. Math. Soci. 1998,350(3) :1481-1518.
  • 7胡迪鹤.随机环境中的Markov过程的构造及等价定理[J].中国科学(A辑),2004,34(3):268-282. 被引量:12
  • 8HU Dihe.The existence and uniqueness of q-process in ran-dom environment[J].Science China Mathematics,2004,47(5):641-658. 被引量:21
  • 9严家安.测度论讲义[M].北京:科学出版社,1996.

二级参考文献13

  • 1HU DiheSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, China.The construction of Markov processes in random environments and the equivalence theorems[J].Science China Mathematics,2004,47(4):481-496. 被引量:27
  • 2李应求.Recurrence and invariant measure of Markov chains in double-infinite random environments[J].Science China Mathematics,2001,44(10):1294-1299. 被引量:18
  • 3Nawrotzki K.Discrete open system or Markov chains in a random environment,I.J Inform Process,Cybernet,1981,17:569-599
  • 4Nawrotzki K.Discrete open system or Markov chains in a random environment,Ⅱ.J Inform Process,Cybernet,1982,18:83-98
  • 5Cogburn R.Markov chains in random environments.The case of Markovian environments.Ann Probab,1980,8:908-916
  • 6Cogburn R.The ergodic theory of Markov chains in random environments.Z Wahrsch Verw Gebiete,1984,66:109-128
  • 7Cogburn R.On direct convergence and periodicity for transition probabilities of Markov chains in random environments.Ann Probab,1990,18:642-654
  • 8Cogburn R.On the central limit theorem for Markov chains in random environments.Ann Probab,1991,19:587-604
  • 9Orey S.Markov chains with stochastically stationary transition probabilities.Ann Probab,1991,19:907-928
  • 10Kifer Y.Limit theorems for random transformations and processes in random environments.Tran Amer Math Soci,1998,350:1481-1518

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