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Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees

Weicai Peng, Jie Liu, Yongchao Hou, Peishu Chen et al. • Journal of Inequalities and Applications (2016)

Abstract 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 Mar...

DOAJ Open Access (DOAJ) DOI: 10.1186/s13660-016-1019-y