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复值渐近鞅的收敛性
引用本文:焦贤发.复值渐近鞅的收敛性[J].合肥工业大学学报(自然科学版),2000,23(3):450-453.
作者姓名:焦贤发
作者单位:合肥工业大学,理学院,安徽,合肥,230009
摘    要:鞅型序列的收敛性在理论及实际问题中都有广泛的应用,研究各类鞅型序列的收敛性是近年来随机学领域的一个重要课题.文献中分别给出了右闭鞅收敛定理和渐近鞅收敛定理.该文通过研究几类鞅收敛性,建立了复概率空间,定义复概率空间中的渐近鞅,证明了复概率空间上渐近鞅的收敛性.

关 键 词:复概率空间  渐近鞅  右闭鞅  复值渐近鞅
修稿时间:1999-06-01

Convergence of complex asymptotic martingale
JIAO Xian-fa.Convergence of complex asymptotic martingale[J].Journal of Hefei University of Technology(Natural Science),2000,23(3):450-453.
Authors:JIAO Xian-fa
Abstract:Convergences of martingale sequences have wide applications in both theory and practice, and the study of covergences of various martingale sequences is an important subject in probabilistic research in recent years. Covergence of general martingale and covergence of asymptotic martingale were presented in related literatures. This article sets up a complex probability space and presents convergence of complex asymptotic martingale.
Keywords:complex probability space  asymptotic martingale  complex asymptotic martingale
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