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Cesàro \(\alpha\)-integrability and laws of large numbers. II - MaRDI portal

Cesàro \(\alpha\)-integrability and laws of large numbers. II (Q867099)

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scientific article; zbMATH DE number 5126793
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Cesàro \(\alpha\)-integrability and laws of large numbers. II
scientific article; zbMATH DE number 5126793

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    Cesàro \(\alpha\)-integrability and laws of large numbers. II (English)
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    14 February 2007
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    [For part I see ibid. 16, No. 3, 655--669 (2003; Zbl 1027.60017).] Residual Cesàro \(\alpha\)-integrability conditions are introduced and applied to new laws of large numbers.
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    Weak law of large numbers
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    Strong law of large numbers
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    uniform integrability
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    Cesàro uniform integrability
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    pairwise uncorrelated
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    pairwise-independent
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    martingale difference sequence
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    \(\alpha\)-mixing sequence
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