Title :
A Strong Law of Large Numbers for Markov Chain Fields on a Special Non-homogeneous Tree
Author :
Shaohua, Jin ; Yanyan, Zhong ; Yanping, Wan ; Xiuyin, Chen
Author_Institution :
Dept. of Math., Hebei Univ. of Technol., Tianjin, China
Abstract :
The strong laws of large numbers is one of the central questions for studying in the international Probability theory. In this paper, a strong law of large numbers for Markov chain fields on a special non-homogeneous tree is given by constructing a non-negative martingale and using Doobpsilas martingale convergence theorem.
Keywords :
Markov processes; probability; trees (mathematics); Doobpsilas martingale convergence theorem; Markov chain fields; international probability theory; nonnegative martingale; special nonhomogeneous tree; Computational intelligence; Convergence; Entropy; Extraterrestrial measurements; Markov random fields; Mathematics; Random variables; markov chains; measurable space; non-negative martingale; strong law of large numbers; tree model;
Conference_Titel :
Computational Intelligence and Natural Computing, 2009. CINC '09. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-3645-3
DOI :
10.1109/CINC.2009.103
