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Strong law of large numbers for double sequences of pairwise \(M\)-dependent real and multivalued random variables - MaRDI portal

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Strong law of large numbers for double sequences of pairwise \(M\)-dependent real and multivalued random variables (Q6611857)

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scientific article; zbMATH DE number 7919744
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English
Strong law of large numbers for double sequences of pairwise \(M\)-dependent real and multivalued random variables
scientific article; zbMATH DE number 7919744

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    Strong law of large numbers for double sequences of pairwise \(M\)-dependent real and multivalued random variables (English)
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    27 September 2024
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    The work continues research on generalizations of the strong law of large numbers (SLLN). It generalizes previously obtained results to a double sequence of pairwise \(M\)-dependent random variables, and gives a new variant of SLLN for a double sequence of pairwise \(M\)-dependent multivalued random variables with closed values in \(\mathbb{R}\). \N\NSection 2 is introductory. Section 3 contains the main results. Having proven new results of SLLN for a double sequence of pairwise \(M\)-dependent real random variables, the authors prove the Kuratowski-convergence for the above-mentioned sequences.
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    double sequences
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    strong law of large numbers
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    pairwise \(M\)-dependent
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    Kuratowski-convergence
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