Title :
Some strong limit theorems for Markov chains on a special non-homogeneous tree
Author :
Jin, Shaohua ; Liu, Jian ; Li, Nan ; Wan, Yanping ; Sun, Shuguang
Author_Institution :
Hebei Univ. of Technol., Tianjin, China
Abstract :
The strong limit theorem is one of the central questions for studying in the International Probability theory. In this paper, some strong limit theorems for Markov chains on a special non-homogeneous tree were obtained by constructing a non-negative martingale and using Doob´s martingale convergence theorem.
Keywords :
Markov processes; convergence; trees (mathematics); Doob martingale convergence theorem; Markov chains; international probability theory; special nonhomogeneous tree; strong limit theorems; Artificial neural networks; Conferences; Convergence; Markov processes; Random variables; Sun; Markov chains; martingale; non-homogeneous tree; strong limit theorem;
Conference_Titel :
Natural Computation (ICNC), 2010 Sixth International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5958-2
DOI :
10.1109/ICNC.2010.5582685
