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An Iterated Logarithm Theorem for Some Weighted Averages of Independent Random Variables

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Publication:5621817
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DOI10.1214/aoms/1177693426zbMath0217.50002OpenAlexW2047359643MaRDI QIDQ5621817

R.James Tomkins

Publication date: 1971

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177693426



Mathematics Subject Classification ID

Strong limit theorems (60F15)


Related Items (7)

Laws of the iterated logarithm for weighted sums of independent random variables ⋮ Limit theorems for methods of summation of independent random variables. II ⋮ Strong invariance principles for triangular arrays of weakly dependent random variables ⋮ Iterated Logarithm laws for weighted averages ⋮ A remark on LSL for weighted sums of i.i.d random elements ⋮ A law of the single logarithm for weighted sums of i.i.d. random elements ⋮ On the law of the iterated logarithm for double sequences of random variables




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