2005 / December Volume 32 No.4
Strong laws of large numbers for sequences of blockwise and pairwise m-dependent random variables
| Published Date |
2005 / December
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| Title | Strong laws of large numbers for sequences of blockwise and pairwise m-dependent random variables |
| Author | |
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| Pagination | 397-405 |
| Abstract | In this paper, we introduce the notions of pairwise $m$-dependence and blockwise and pairwise $m$-dependence of random variables $\{X_n, n \ge 1 \}$. For a sequence of blockwise and pairwise $m$-dependent random variables $\{X_n, n \ge 1 \}$, we provide
conditions for $\frac {\sum_{j=1}^{n} (X_j - EX_j) }{n^{\frac 1r}} \to 0$ a.s. as $n \to \infty (1 \le r < 2 )$.
We also establish the strong law of large numbers for sequences of pairwise $m$-dependent random variables.
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| AMS Subject Classification |
60F15
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| Received |
2005-01-17
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