Abstract

In this paper, we prove the strong law of large numbers (SLLN) for a real adapted sequence. As application, we establish the relation between SLLN and amart and also we prove the strong law of large numbers for mils. At the end of this work, the SLLN for set valued supermartingale is provided.

中文翻译：

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自适应序列的强大数定律及其在多值超级市场中的应用

摘要

在本文中，我们证明了一个真实的自适应序列的强大的大数定律（SLLN）。作为应用，我们建立了SLLN和amart之间的关系，并证明了密尔数的强大定律。在这项工作的最后，提供了定值超级市场的​​SLLN。