Some Strong Limit Theorems for Hidden Markov Models Indexed by a Non-homogeneous Tree

被引:0
|
作者
Jin, Shaohua [1 ]
Wang, Yongxue [1 ]
Liu, Huitao [1 ]
Tian, Ying [1 ]
Li, Hui [1 ]
机构
[1] Hebei Univ Technol, Tianjin 300130, Peoples R China
关键词
Markov models; martingale; non-homogeneoustree; strong limit theorem;
D O I
10.1109/IITSI.2010.68
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The strong limit theorems is one of the central questions for studying in the International Probability theory. In this paper, some strong limit theorems for hidden Markov models indexed by a non-homogeneous tree were obtained by constructing a martingale difference series.
引用
收藏
页码:169 / 172
页数:4
相关论文
共 50 条
  • [1] Many Strong Limit Theorems for Hidden Markov Models on a Non-homogeneous Tree
    Jin, Shaohua
    Lv, Jie
    Fan, Zhenyao
    Sun, Shuguang
    Zhang, Yanmin
    [J]. ADVANCED TECHNOLOGY IN TEACHING - PROCEEDINGS OF THE 2009 3RD INTERNATIONAL CONFERENCE ON TEACHING AND COMPUTATIONAL SCIENCE (WTCS 2009), VOL 1: INTELLIGENT UBIQUITIOUS COMPUTING AND EDUCATION, 2012, 116 : 331 - +
  • [2] Some Strong Limit Theorems for Markov Chains of Order Two Indexed by a Non-homogeneous Tree
    Jin, Shaohua
    Jiang, Huihui
    Zhang, Lijuan
    Zhong, Yanyan
    [J]. PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION, VOL II: MATHEMATICAL MODELLING, 2008, : 35 - 39
  • [3] Some Strong Limit Theorems for Markov Chains of Continuous State Space on a Non-homogeneous Tree
    Jin Shao-hua
    Yan Lu
    Ding Chong-guang
    Chen Wen-feng
    [J]. ICICTA: 2009 SECOND INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTATION TECHNOLOGY AND AUTOMATION, VOL IV, PROCEEDINGS, 2009, : 267 - 270
  • [4] SOME LIMIT THEOREMS FOR NON-HOMOGENEOUS MARKOV CHAINS
    ROSENBLATTROTH, M
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05): : 1224 - +
  • [5] A Class of Strong Limit Theorems for Nonhomogeneous Markov Chains Field Indexed by a Homogeneous Tree
    Wang, Kangkang
    Zong, Decai
    [J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2012, 36 (06) : 891 - 902
  • [6] A Strong Deviation Theorem for Markov Chains Functional Indexed by a Non-homogeneous Tree
    Jin, Shaohua
    Zhang, Yanmin
    Wan, Yanping
    Li, Nan
    Zhang, Huipeng
    [J]. ADVANCED TECHNOLOGY IN TEACHING - PROCEEDINGS OF THE 2009 3RD INTERNATIONAL CONFERENCE ON TEACHING AND COMPUTATIONAL SCIENCE (WTCS 2009), VOL 1: INTELLIGENT UBIQUITIOUS COMPUTING AND EDUCATION, 2012, 116 : 345 - +
  • [7] Many Strong Limit Theorems of the Random Selection System on a Non-homogeneous Tree
    Jin, Shaohua
    Tian, Ying
    Sun, Shuguang
    Fan, Zhenyao
    Zhang, Yanmin
    [J]. ADVANCED TECHNOLOGY IN TEACHING - PROCEEDINGS OF THE 2009 3RD INTERNATIONAL CONFERENCE ON TEACHING AND COMPUTATIONAL SCIENCE (WTCS 2009), VOL 1: INTELLIGENT UBIQUITIOUS COMPUTING AND EDUCATION, 2012, 116 : 337 - +
  • [8] Forecasting with non-homogeneous hidden Markov models
    Meligkotsidou, Loukia
    Dellaportas, Petros
    [J]. STATISTICS AND COMPUTING, 2011, 21 (03) : 439 - 449
  • [9] Forecasting with non-homogeneous hidden Markov models
    Loukia Meligkotsidou
    Petros Dellaportas
    [J]. Statistics and Computing, 2011, 21 : 439 - 449
  • [10] Some limit properties for Markov chains indexed by a homogeneous tree
    Yang, WG
    [J]. STATISTICS & PROBABILITY LETTERS, 2003, 65 (03) : 241 - 250