Title :
Notice of Retraction
Many Strong Limit Theorems for Non-homogeneous Markov Chains Indexed by a Non-homogeneous Tree
Author :
Jin Shaohua ; Liu Huitao ; Liu Jian ; Wang Yongxue ; Zhang Jian
Author_Institution :
Hebei Univ. of Technol., Tianjin, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
The strong limit theorems is one of the central questions for studying in the International Probability theory. In this paper, many strong limit theorems for non-homogeneous Markov chains indexed by a non-homogeneous tree were obtained by constructing a non-negative martingale.
Keywords :
Markov processes; probability; trees (mathematics); international probability theory; limit theorems; nonhomogeneous Markov chains; nonhomogeneous tree; nonnegative martingale; Computer science; Computer science education; Educational technology; Probability distribution; Random variables; Markov chains; martingale; non-homogeneous tree; strong limit theorem;
Conference_Titel :
Education Technology and Computer Science (ETCS), 2010 Second International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6388-6
DOI :
10.1109/ETCS.2010.346
