1) circular Markov information source
循环马氏信源
1.
First,the definition of circular Markov information source is introduced.
首先引进循环马氏信源的概念,然后利用非齐次马氏信源函数的极限性质,得到关于循环马氏信源的渐进均分割性。
2) asymptotic circular Markov chains
渐近循环马氏链
1.
Since the case that the transition matrices of nonhomogeneous Markov chains are asymptotic circular often appears in practical use, the research on the strong limit theorems for asymptotic circular Markov chains has great theoretical and practical significances.
考虑到在实际应用中,非齐次马氏链的转移矩阵是渐近循环的情形经常出现,所以渐近循环马氏链强极限定理的研究具有非常重要的理论意义和实践意义。
3) nonhomogeneous Markov information sources
非齐次马氏信源
1.
A strong law of large numbers for nonhomogeneous Markov information sources;
关于非齐次马氏信源的一个熵定理
4) m-order Markov information source
m阶马氏信源
1.
As corollaries,some Shannon-Mcmillan theorems for arbitrary information source,m-order Markov information source are obtained and some results for the discrete information source are extended.
并由此得出若干任意信源,m阶马氏信源的Shannon-Mcmillan定理。
2.
As corollaries,some Shannon-Mcmillan theorems for arbitrary information source,m-order Markov information source and non-memory information source are obtained and some results for the discrete information source which has been obtained by author are extended.
采用构造相容分布与非负上鞅的方法研究任意信源随机和相对熵密度的强极限定理,并由此得出若干任意信源,m阶马氏信源,无记忆信源的随机Shannon-Mcmillan定理。
3.
As corollaries,some asymptotic equipartition property theorems for arbitrary information source,m-order Markov information source,and non-memory information source were obtained.
得出了若干任意信源、m阶马氏信源、无记忆信源的渐进均匀分割性定理,并将已有的关于离散信源的结果进行了推广。
6) Markov Chain of Order 2 information source
二重马氏信源
1.
Author study the Markov Chain of Order 2 information source, and a class limit theorems about it ar Obtained.
首次研究了二重马氏信源问题，得出了关于有限二重马氏信源的一类极限定理。
补充资料：循环
循环
①顺着环形的轨道旋转，比喻事物周而复始的运动。②物理学名词。物质系统从某一状态经过一系列变化回到初始状态的过程。③医学上指血液和淋巴液在循环系统的流动过程。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条