论文标题

绑定在与迭代对数有界定律相关的最大函数上,

Bound on the maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation

论文作者

Giraudo, Davide

论文摘要

在矩形上进行求和时,我们为迭代对数的有限定律提供了足够的条件。该研究是通过控制最大功能的控制来完成的。矫正属的情况得到了处理。然后得出有关投影条件的结果。

We give sufficient conditions for the bounded law of the iterated logarithms for strictly stationary random fields when the summation is done on rectangle. The study is done by the control of an appropriated maximal function. The case of orthomartingales is treated. Then results on projective conditions are derived.

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