同分布NA序列的强收敛性

Strong Convergence for IDNA Sequences

  • 摘要: 本文讨论了NA序列极限理论中的一些基本问题。首先证明了对称化的NA族仍为NA族,建立了基于通常截尾术的NA序列的三级数定理;并在此基础上给出了同分布NA序列的与iid序列完全一致的Marcinkiewicz强大数律,还得到了关于同分布NA序列的与iid序列极为相似的有关完全收敛性的一系列等价性命题。

     

    Abstract: In this paper, we prove the symmetrized NA sequence is also a NA sequence,establish the theorem of three series for NA sequences on the normal truncation form.and by using the above results,we give the Marcinkiewicz Strong Law of Large Numbers and a series of results on the complete convergence for identically distributed negatively associated (IDNA) sequences, these results have forms very similar to that for iid sequences.

     

/

返回文章
返回