We present an accurate description for stable random fields. We also deduce, as application, a version of the iterated logarithm law for them.

对于稳定随机场我们给出一个精确的描述，作为应用，可导出一重对数律。

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Since 1953, people have studied the strong law of large numbers. the law of the iterated logarithm and complete convergence for B-valued random variables.

自1953年以来，人们对B值随机元序列大数定律、叠对数律及完全收敛性进行了研究。

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