An improved version of a result of Chandra, Li, and Rosalsky
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≤...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-02-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-1980-3 |
| Summary: | 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. |
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| ISSN: | 1029-242X |