Title :
Some Limit Properties for Nonhomogeneous Tree Indexed Markov Chains
Author :
Fan Zhenyao ; Zhai Quanli ; Jin Shaohua
Author_Institution :
Basic Course Div., Tangshan Coll., Tangshan, China
Abstract :
The paper defined a nonhomogeneous tree T with the methods of the modulus of congruence of and obtained the strong law of large numbers on frequency occurrence of the r-dimensional state sequences for tree T indexed Markov chains.
Keywords :
Markov processes; trees (mathematics); congruence modulus; frequency occurrence; nonhomogeneous tree indexed Markov chains; state sequences; Artificial neural networks; Conferences; Cryptography; Educational institutions; Knowledge engineering; Markov processes; Random variables; nonhomogeneous tree; strong limit theorem; tree indexed Markov chains;
Conference_Titel :
Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce & Its Applications and Embedded Systems (CDEE), 2010 First ACIS International Symposium on
Conference_Location :
Qinhuangdao
Print_ISBN :
978-1-4244-9595-5
DOI :
10.1109/CDEE.2010.27
