Almost sure convergence theorem and strong stability for weighted sums of NSD random variables

作者：Shen Yan; Wang Xue Jun; Yang Wen Zhi; Hu Shu He^*

来源：Acta Mathematica Sinica-English Series, 2013, 29(4): 743-756.

DOI：10.1007/s10114-012-1723-6

• Almost sure convergence
• negatively superadditive dependent
• strong stability

In this paper, Kolmogorov-type inequality for negatively superadditive dependent (NSD) random variables is established. By using this inequality, we obtain the almost sure convergence for NSD sequences, which extends the corresponding results for independent sequences and negatively associated (NA) sequences. In addition, the strong stability for weighted sums of NSD random variables is studied.

• 出版日期2013-4
• 单位安徽大学