TY - JOUR AU - Peng, Weicai AU - Liu, Jie AU - Hou, Yongchao AU - Chen, Peishu AU - Bu, Jueping PY - 2016 DA - 2016/02/29 TI - Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees JO - Journal of Inequalities and Applications SP - 79 VL - 2016 IS - 1 AB - In this paper, a kind of infinite, local finite tree T, named a controlled tree, is introduced. Some strong limit properties, such as the strong law of large numbers and the asymptotic equipartition property, for nonhomogeneous Markov chains indexed by T, are established. The outcomes are the generalizations of some well-known results. SN - 1029-242X UR - https://doi.org/10.1186/s13660-016-1019-y DO - 10.1186/s13660-016-1019-y ID - Peng2016 ER -