• Communications of the Korean Mathematical Society
• /
• v.13 no.4
• /
• pp.855-863
• /
• 1998

Some conditions on the strong law of large numbers for weighted sums of negative quadrant dependent random variables are studied. The almost sure convergence of weighted sums of negatively associated random variables is also established, and then it is utilized to obtain strong laws of large numbers for weighted averages of negatively associated random variables.

• Journal of applied mathematics & informatics
• /
• v.37 no.3_4
• /
• pp.207-217
• /
• 2019

We are presented of several basic properties for negatively superadditive dependent(NSD) random variables. By using this concept we are obtained complete convergence for maximum partial sums of rowwise NSD random variables. These results obtained in this paper generalize a corresponding ones for independent random variables and negatively associated random variables.

• Communications of the Korean Mathematical Society
• /
• v.18 no.3
• /
• pp.551-558
• /
• 2003

In this paper we Obtain the Hajeck-Renyi type inequality for the asymptotically almost negatively associated(AANA) random variables and extend some results for negatively associated random variables to the AANA case by applying this inequality.

• Honam Mathematical Journal
• /
• v.32 no.1
• /
• pp.91-99
• /
• 2010

In this paper we introduce the concept of asymptotically almost negatively associated random variables in a Hilbert space and obtain the strong law of large numbers for a strictly stationary asymptotically almost negatively associated sequence of H-valued random variables with zero means and finite second moments. As an application we prove a strong law of large numbers for a linear process generated by asymptotically almost negatively random variables in a Hilbert space with this result.

• Honam Mathematical Journal
• /
• v.26 no.3
• /
• pp.287-298
• /
• 2004

In this paper we derive complete convergences for weighted sums of asymptotically almost negatively associated random variables.

• Proceedings of the Korean Statistical Society Conference
• /
• 2002.11a
• /
• pp.209-213
• /
• 2002

We study maximal second moment inequality and derive complete convergence for weighted sums of asymptotically almost negatively associated(AANA) random variables by applying this inequality. 2000 Mathematics Subject Classification : 60F05

• Honam Mathematical Journal
• /
• v.37 no.3
• /
• pp.325-334
• /
• 2015

In this paper we obtain complete convergences for weighted sums of negatively superadditive dependent random variables. These results generalize the corresponding ones for negatively associated random variables.

• Journal of applied mathematics & informatics
• /
• v.28 no.1_2
• /
• pp.363-372
• /
• 2010

In this paper we prove the almost sure convergence of partial sums of identically distributed and negatively associated random variables with infinite expectations. Some results in Kruglov[Kruglov, V., 2008 Statist. Probab. Lett. 78(7) 890-895] are considered in the case of negatively associated random variables.

• Journal of the Chungcheong Mathematical Society
• /
• v.30 no.4
• /
• pp.411-422
• /
• 2017

Let {$X_{ni}$, $i{\geq}1$, $n{\geq}1$} be an array of rowwise asymptotically negatively associated random variables and {$a_{ni}$, $i{\geq}1$, $n{\geq}1$} an array of constants. Some results concerning complete convergence of weighted sums ${\sum}_{i=1}^{n}a_{ni}X_{ni}$ are obtained. They generalize some previous known results for arrays of rowwise negatively associated random variables to the asymptotically negative association case.

• Journal of the Chungcheong Mathematical Society
• /
• v.26 no.1
• /
• pp.137-145
• /
• 2013

In this paper we obtain the complete convergence of weighted sums of asymptotically almost negatively associated random variables. Some previous known results for negatively associated random variables are generalized to asymptotically almost negative association case.