| 随机环境马氏链下熵的极值问题的研究 |
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| 引用本文： | 宁小青,郭光耀.随机环境马氏链下熵的极值问题的研究[J].湖北民族学院学报(哲学社会科学版),2012(2):182-185. |
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| 作者姓名： | 宁小青 郭光耀 |
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| 作者单位： | 武汉工程大学理学院 |
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| 摘 要： | 在随机环境中马氏链一般理论的研究中,通常要用到随机环境中马氏链与马氏双链间的相互关系.在此基础上,主要探讨了随机环境中马氏链下熵,维数的相关定义,并借助此关系讨论随机环境马氏链下有关熵的不等式的极值问题,获得了相关的结论.
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| 关 键 词： | 随机环境马氏链 熵 Hausdorff维数 填充维数 |
The Problem of Extreme Value about Entropy on Markov Chain in Random Environments |
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| NING Xiao-qing,GUO Guang-yao.The Problem of Extreme Value about Entropy on Markov Chain in Random Environments[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2012(2):182-185. |
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| Authors: | NING Xiao-qing GUO Guang-yao |
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| Institution: | (Institute of Science,Wuhan Institute of Technology,Wuhan 430073,China). |
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| Abstract: | As branches of stochastic process,Markov chains in random environments were developed in 1970s.They have deep realistic background and intensive application.In the study of Markov chains in random environments,we often make use of the relations of Markov chains in random environments and joint Markov chains.Based on the previous works,we study relations among Markov chains in random environments,joint Markov chains and original course.In this paper,on the basis of previous work,we mainly discuss the Markov chains in random environments,entropy,dimension and the relevant definition.This relationship is used to discuss the inequality extreme value problem,and a conclusion is obtained. |
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| Keywords: | Markov chains in random environment entropy Hausdorff dimension packing dimension |
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