We show a Marcinkiewicz–Zygmund law of large numbers for jointly, dissociated exchangeable arrays, in $L^r$ ($r\in (0,2)$) and almost surely. Then, we obtain a law of iterated logarithm for such arrays under a weaker moment condition than the existing one.

中文翻译：

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可交换阵列的 Marcinkiewicz-Zygmund 大数定律

我们展示了联合解离可交换阵列的 Marcinkiewicz-Zygmund 大数定律，在${\mathrm{大号}}^r$($r\in (0,2)$) 几乎可以肯定。然后，我们在比现有的弱矩条件下获得了此类数组的迭代对数定律。