期刊文献+

可列非齐次马氏链函数的强大数定律

Strong Law of Large Numbers for Function of Countable Nonhomogeneous Markov Chains
下载PDF
导出
摘要 研究了可列非齐次马氏链函数的强大数定律.利用可列非齐次马氏链函数的一致Cesaro收敛,建立可列非齐次马氏链函数的二元函数的另一强大数定律. In this paper, the strong law of large numbers for function of countable nonhomogeneous Markov Chains are investigated.By means of the uniform convergence of countable nonhomogeneous Markov Chains,another strong law of large numbers of binary function of countable nonhomogeneous Markov Chains is estabished.
出处 《江汉大学学报(自然科学版)》 2010年第2期14-15,18,共3页 Journal of Jianghan University:Natural Science Edition
基金 国家自然科学基金资助项目(10571139)
关键词 强大数定律 马氏链 一致收敛性 strong law of large numbers Markov chains uniform convergence
  • 相关文献

参考文献7

  • 1Chung K L.A course in probability theory[M].New York:Academic Press,1974.
  • 2Liu G X,Liu W.On the strong law of large numbers for functional of countable nonhomogeneous Markov chain[J].Stochastic Process Appl,1994,50:375-391.
  • 3Liu W,Yang W G.An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains[J].Stochastic Process Appl,1966,61:129-145.
  • 4Yang W G.Convergence in the Cesaro sense and strong law of large numbers for nonhomogeneous Markov chains[J].Linear Algebra and its Applications,2002,354:275-288.
  • 5Bowerman B,Daivd H T,Isaacson D.The convergence of Cesaro averages for certain nonstationary Markov chains[J].Stochastic Process Appl,1977,5:221-230.
  • 6Liu W,Yang W G.A class of strong limit theorems for the sequences of arbitrary random variables[J].Statist Probab Lett,2003,64:121-131.
  • 7吴群英.混合序列的极限理论[M].北京:科学出版社,2006.

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