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 Ko et al. (2007) and Jabbari et al. (2009). In addition, we also give the relevant precise asymptotics.

In this paper we begin the first systematic study of distributions of quadrant marked mesh patterns. Mesh patterns were introduced recently by Brändén and Claesson in connection with permutation statistics. Quadrant marked mesh patterns are based on how many elements lie in various quadrants of the graph of a permutation relative to the coordinate system centered at one of the points in the gra...

The present study was undertaken to investigate the beneficial effects of widely-prescribed lipid lowering drugs, pitavastatin, atorvastatin and simvastatin 3-hydroxy-3-methylglutaryl-coenzyme-A (HMG-CoA) reductase inhibitors in cognitive dysfunctions of mice. Intra-cerebroventricular (ICV)-Streptozocin-(STZ)- and high-fat diet (HFD)-induced amnesia served as interoceptive memory models where a...

Let {εi : −∞ < i < ∞} be a strictly stationary sequence of linearly positive quadrant dependent random variables and P∞ i=−∞ |ai| < ∞. In this paper, we prove the precise asymptotics in the law of iterated logarithm for the moment convergence of moving-average process of the form Xk = P∞ i=−∞ ai+kεi, k ≥ 1.

Let {Xn, n ≥ 1} be a sequence of negatively superadditive dependent random variables. In the paper, we study the strong law of large numbers for general weighted sums 1 g(n) ∑n i=1 Xi h(i) of negatively superadditive dependent random variables with non-identical distribution. Some sufficient conditions for the strong law of large numbers are provided. As applications, the Kolmogorov strong law ...