We show a Marcinkiewicz-Zygmund law of large numbers for jointly and dissociated exchangeable arrays. The result holds both in $L^r$ ($r\in (0,2)$) and almost surely. As a result, we obtain a law of iterated logarithm for such arrays under a weaker moment condition than the existing one.
翻译:我们用大量数字显示可互换和互换的阵列的Marcinkiewicz-Zygmund法则。 其结果以美元( 0. 2美元 ) 和几乎肯定的两种货币持有。 结果,我们获得了这种阵列的循环对数法则,其条件比现有阵列弱。