Title :
Strong Convergence Theorems for Arbitrary Sequence Series of B-Valued Random Variables
Author :
Wang, Xiaosheng ; Guo, Haiying
Author_Institution :
Coll. of Sci., Hebei Univ. of Eng., Handan, China
Abstract :
Based on martingale theory in Banach space, using the limit theorem of the B-valued martingale difference sequence, a strong limit theorem for arbitrary sequence series of B-valued random variables is obtained. In addition, according to Radon-Nikodym property of real number space, the main result of this paper contains some well known conclusions in the real number space.
Keywords :
Banach spaces; convergence; number theory; sequences; series (mathematics); stochastic processes; B-valued martingale difference sequence; B-valued random variables; Banach space; Radon-Nikodym property; arbitrary sequence series; limit theorem; martingale theory; real number space; strong convergence theorem; Convergence; Educational institutions; Random variables;
Conference_Titel :
Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4507-3
Electronic_ISBN :
978-1-4244-4507-3
DOI :
10.1109/CISE.2009.5365433
