| Two Convergence Theorems of Weighted Sums of Random Variables |
| Received:December 15, 1982 |
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| Abstract: |
| In the note we present two theorems on convergence of weighted sums of random variables. The relative extensions to random elements in a separable normed linear space are also discussed.Theorem 1 and Corollary 1 are extensions of the theorems of Chow and Lai, Padgett and Taylor, Bozognia and Bhaskara Rao, and Wei and Taylor. Theorem 2 is an extension of another result of Chow and Lai. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1984.01.021 |
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