论文标题
Bernoulli序列的大数字的强大定律的表征
A characterization of the strong law of large numbers for Bernoulli sequences
论文作者
论文摘要
大量定律是概率理论中最基本的结果之一。在独立序列的情况下，有一些已知的特征。例如，在独立和相同分布的设置中，众所周知，大数字定律等同于集成性。就依赖序列而言，据我们所知，没有已知的一般特征。我们根据产品分解为相同分布的Bernoulli序列提供了这样的表征。
The law of large numbers is one of the most fundamental results in Probability Theory. In the case of independent sequences, there are some known characterizations; for instance, in the independent and identically distributed setting it is known that the law of large numbers is equivalent to integrability. In the case of dependent sequences, there are no known general characterizations -- to the best of our knowledge. We provide such a characterization for identically distributed Bernoulli sequences in terms of a product disintegration.
