Title :
Some Strong Limit Theorems for Markov Chains of Continuous State Space on a Non-Homogeneous Tree
Author :
Jin Shao-hua ; Lu, Yan ; Ding Chong-guang ; Chen Wen-feng
Author_Institution :
Hebei Univ. of Technol., Tianjin, China
Abstract :
The limit theorems is one of the central questions for studying in the international probability theory. In this paper, some strong limit theorems for Markov chains of continuous state space on a non-homogeneous tree were obtained by constructing a non-negative martingale.
Keywords :
Markov processes; probability; trees (mathematics); Markov chain; continuous state space; limit theorem; nonhomogeneous tree; nonnegative martingale; probability theory; Automation; Probability distribution; Space technology; State-space methods; Markov chains; martingale; non-homogeneous tree; strong limit theorem;
Conference_Titel :
Intelligent Computation Technology and Automation, 2009. ICICTA '09. Second International Conference on
Conference_Location :
Changsha, Hunan
Print_ISBN :
978-0-7695-3804-4
DOI :
10.1109/ICICTA.2009.780
