同分布NA序列的一个弱大数律

A Weak Law of Large Numbers for Identically Distributed NA Variables

本文从讨论同分布NA序列弱大数律的成立条件入手，不仅给出了它的一个弱大数律，而且得到了这类条件的三种等价形式，由此揭示出同分布NA序列在弱大数律方面与独立同分布（i．i．d．）序列的不同之处，因之与这两者在强大数律方面有完全相同的性状形成了对比。

We investigate three equivalent sufficient conditions for weak laws of large numbers (WLLN)for sequences of identically distributed NA (Negatively Associated) variables (IDNA). One example is given to show that these conditions are not equivalent to WLLN for IDNA sequences. The results illustrate the differences of conditions for WLLN between IDNA and IID sequences. However, it should be noted that IDNA and IID sequences have the same Marcinkiewicz strong laws of large numbers.