On the strong law of large numbers for sequences of random variables without the independence condition |
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| Authors: | V M Korchevsky |
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| Institution: | 1.St. Petersburg State University,St. Petersburg,Russia |
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| Abstract: | New sufficient conditions for the applicability of the strong law of large numbers to a sequence of dependent random variables
X
1, X
2, …, with finite variances are established. No particular type of dependence between the random variables in the sequence
is assumed. The statement of the theorem involves the classical condition Σ
n
∞ (log2
n)2/n
2 < ∞, which appears in various theorems on the strong law of large numbers for sequences of random variables without the independence
condition. |
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| Keywords: | |
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