最后用鞅收敛定理的推广形式证明了这一自适应预测算法的全局收敛性。
In the end, the adaptive prediction algorithm is proved to be globally convergent by using the extended form of Martingales Convergence Theorem.
介绍了用于辨识方法性能研究的鞅收敛定理和鞅超收敛定理，阐述了其应用范围；
In this paper, we introduce the martingale convergence theorem and martingale hyperconvergence theorem for analyzing performances of identification methods and states their application ranges.
并且，作为该定理的一个应用，对复测度鞅的点态收敛性作了较精细的讨论。
A convergence theorem of the transforms is proved, and then, as an application of it, the pointwise convergence of complex measure martingales is discussed in a precise way.
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