期刊文献+

The Invariance Principle for p-■Chain 被引量:1

The Invariance Principle for p-■Chain
原文传递
导出
摘要 There are two parts in this paper. In the first part we construct the Markov chain in random environment(MCRE), the skew product Markov chain and p-θ^→ chain from a random transition matrix and a two-dimensional probability distribution, and in the second part we prove that the invarianee principle for p-θ^→ chain, a more complex non-homogeneous Markov chain, is true under some reasonable conditions. This result is more powerful. There are two parts in this paper. In the first part we construct the Markov chain in random environment(MCRE), the skew product Markov chain and p-θ^→ chain from a random transition matrix and a two-dimensional probability distribution, and in the second part we prove that the invarianee principle for p-θ^→ chain, a more complex non-homogeneous Markov chain, is true under some reasonable conditions. This result is more powerful.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第1期41-56,共16页 数学学报(英文版)
基金 the NNSF of China(No:10371092)
关键词 random transition matrix Markov chain in random environment skew product Markov chain p-θ^→ chain invariance principle random transition matrix, Markov chain in random environment, skew product Markov chain, p-θ^→ chain, invariance principle
  • 相关文献

参考文献10

  • 1Nawrotzki, K.: Discrete open system of Markov chain in a random environment, Ⅰ,Ⅱ. J. Inform Process Cybernet, 17, 569-599 (1981); 18, 83-98 (1982)
  • 2Cogburn, R.: Markov chains in random environments, The case of Markovian environment. Ann. Probab.,8, 902-916 (1980)
  • 3Cogburn, R.: On the central limit theorem for Markov chains in random environments. Ann. Probab., 19,587-664 (1991)
  • 4Orey, S.: Markov chains with stochastically stationary transition probabilities. Ann. Probab., 19, 907-928(1991)
  • 5Donsker, M.: An Invariance Principle for Certain Probability Limit Theorems, Memoirs of Amer. Math.Soc., 6, 1951
  • 6Hu, D.: The limit distribution of the functional of Markov chains, Journal of Wuhan University of Nature Science (in Chinese), 3, 63-79 (1977)
  • 7Kifer, Y,: Limit theorems for random transformations and process in random environment, Trans, Amer,Math, Soc,, 350, 1481-1518 (1998)
  • 8Peligrad, M.: An invariant principle for φ-mixing sequence. Ann. Probab., 13, 1304 1313 (1985)
  • 9Lin, Z., Lu, C.: Limit theory for mixing dependent random variables, Science Press, Beijing, 1997
  • 10Billingsley, P,: Convergence of probability maesures, Wiley, New York, 1968

同被引文献5

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部