An improved version of a result of Chandra, Li, and Rosalsky

• Main Authors: Deli Li, Andrew Rosalsky
• Format: Article
• Language: English
• Published: SpringerOpen 2019-02-01
• Series: Journal of Inequalities and Applications
• Subjects: Array of rowwise pairwise negative quadrant dependent random variables; Weighted averages; Degenerate mean convergence; Stochastic domination
• Online Access: http://link.springer.com/article/10.1186/s13660-019-1980-3

Abstract For an array of rowwise pairwise negative quadrant dependent, mean 0 random variables, Chandra, Li, and Rosalsky provided conditions under which weighted averages converge in L1 $\mathscr{L}_{1}$ to 0. The Chandra, Li, and Rosalsky result is extended to Lr $\mathscr{L}_{r}$ convergence ( 1≤r<2 $1\leq r<2$) and is shown to hold under weaker conditions by applying a mean convergence result of Sung and an inequality of Adler, Rosalsky, and Taylor.