A Strong Limit Theorem for Weighted Sums of Negatively Dependent Random Variables

作者：Sung Soo Hak^*

来源：Communications in Statistics - Theory and Methods, 2015, 44(2): 428-439.

DOI：10.1080/03610926.2012.742111

• Almost sure convergence
• Complete convergence
• Dependent random variables
• Negatively dependent random variables
• Strong law
• Weighted sum

In this article, we establish a new complete convergence theorem for weighted sums of negatively dependent random variables. As corollaries, many results on the almost sure convergence and complete convergence for weighted sums of negatively dependent random variables are obtained. In particular, the results of Jing and Liang (2008), Sung (2012), and Wu (2010) can be obtained.

• 出版日期2015