On the exponential inequality for weighted sums of a class of linearly negative quadrant dependent random variables (Q904625)

Summary: The exponential inequality for weighted sums of a class of linearly negative quadrant dependent random variables is established, which extends and improves the corresponding ones obtained by \textit{M.-H. Ko} et al. [Commun. Korean Math. Soc. 22, No. 1, 137--143 (2007; Zbl 1168.60336)] and \textit{H. Jabbari} et al. [Electron. J. Stat. 3, 165--175 (2009; Zbl 1266.60054)]. In addition, we also give the relevant precise asymptotics.