复值渐近鞅的收敛性

Convergence of complex asymptotic martingale

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 。

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.