Title :
Some Strong Limit Theorems for Hidden Markov Models Indexed by a Non-homogeneous Tree
Author :
Jin, Shaohua ; Wang, Yongxue ; Liu, Huitao ; Tian, Ying ; Li, Hui
Author_Institution :
Hebei Univ. of Technol., Tianjin, China
Abstract :
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.
Keywords :
hidden Markov models; probability; trees (mathematics); hidden Markov models; international probability theory; martingale difference series; nonhomogeneous tree; strong limit theorems; Argon; Classification tree analysis; Hidden Markov models; Informatics; Information security; Information technology; Random variables; State-space methods; Yttrium; Markov models; martingale; non-homogeneous tree; strong limit theorem;
Conference_Titel :
Intelligent Information Technology and Security Informatics (IITSI), 2010 Third International Symposium on
Conference_Location :
Jinggangshan
Print_ISBN :
978-1-4244-6730-3
Electronic_ISBN :
978-1-4244-6743-3
DOI :
10.1109/IITSI.2010.68
