An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains

被引:0
作者
机构
来源
Stochastic Process their Appl | / 1卷 / 129期
关键词
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
相关论文
共 50 条
[21]   Some Shannon-McMillan Approximation Theorems for Markov Chain Field on the Generalized Bethe Tree [J].
Wang, Kangkang ;
Zong, Decai .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[22]   Some Shannon-McMillan Approximation Theorems for Markov Chain Field on the Generalized Bethe Tree [J].
Kangkang Wang ;
Decai Zong .
Journal of Inequalities and Applications, 2011
[23]   Shannon-McMillan theorem on a special non-homogeneous tree [J].
Jin, Shaohua ;
Zhong, Yanyan ;
Jiang, Huihui ;
Zhang, Lijuan .
PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION, VOL II: MATHEMATICAL MODELLING, 2008, :50-54
[24]   RATIO LIMIT THEOREM FOR FINITE NONHOMOGENEOUS MARKOV CHAINS [J].
COHN, H .
ISRAEL JOURNAL OF MATHEMATICS, 1974, 19 (04) :329-334
[25]   THE SHANNON MCMILLAN THEOREM FOR MARKOV CHAINS INDEXED BY A CAYLEY TREE IN RANDOM ENVIRONMENT [J].
Shi, Zhiyan ;
Zhong, Pingping ;
Fan, Yan .
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2018, 32 (04) :626-639
[26]   The strong law of large numbers and Shannon-McMillan theorem for Markov chains indexed by an infinite tree with uniformly bounded degree in random environment [J].
Ding, Chengjun ;
Shi, Zhiyan ;
Yang, Weiguo .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (15) :3573-3585
[27]   The Shannon-McMillan Theorem Proves Convergence to Equiprobability of Boltzmann's Microstates [J].
Spalvieri, Arnaldo .
ENTROPY, 2021, 23 (07)
[28]   GENERALIZED SHANNON-MCMILLAN THEOREM FOR ACTION OF AN AMENABLE GROUP ON A PROBABILITY SPACE [J].
KIEFFER, JC .
ANNALS OF PROBABILITY, 1975, 3 (06) :1031-1037
[29]   SIMPLE PROOF OF MOY-PEREZ GENERALIZATION OF SHANNON-MCMILLAN THEOREM [J].
KIEFFER, JC .
PACIFIC JOURNAL OF MATHEMATICS, 1974, 51 (01) :203-206
[30]   STABILITY OF SOME LIMIT THEOREMS NONHOMOGENEOUS MARKOV CHAINS [J].
ROSENBLA.M .
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (02) :414-&