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

Journal of Inequalities and Applications

Deli Li¹  Andrew Rosalsky² 

[1] Department of Mathematical Sciences, Lakehead University;Department of Statistics, University of Florida;

关键词: Array of rowwise pairwise negative quadrant dependent random variables;    Weighted averages;    Degenerate mean convergence;    Stochastic domination;   

DOI  :  10.1186/s13660-019-1980-3

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown