Laws of the iterated logarithm for weighted sums of independent random variables
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Publication:1916200
DOI10.1016/0167-7152(95)00072-0zbMath0859.60031OpenAlexW2075080312MaRDI QIDQ1916200
Publication date: 9 April 1997
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-7152(95)00072-0
Related Items (6)
Almost sure central limit theorem for the products of \(U\)-statistics ⋮ Chover-type laws of the iterated logarithm for weighted sums. ⋮ The law of the iterated logarithm and central limit theorem for \(L\)-statistics ⋮ On the law of the logarithm for weighted sums of extended negatively dependent random variables ⋮ Iterated logarithm type behavior for weighted sums of i.i.d. random variables ⋮ Limiting behavior of weighted sums with stable distributions
Cites Work
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- A note on the law of iterated logarithm for weighted sums of random variables
- A new proof of the Hartman-Wintner law of the iterated logarithm
- Characterization of the law of the iterated logarithm in Banach spaces
- A law of the iterated logarithm for double arrays of independent random variables with applications to regression and time series models
- Iterated logarithm results for weighted averages of martingale difference sequences
- Strong limit theorems for certain arrays of random variables
- A strong convergence theorem for Banach space valued random variables
- An invariance principle for the law of the iterated logarithm
- Some Results on the Complete and Almost Sure Convergence of Linear Combinations of Independent Random Variables and Martingale Differences
- Strong Laws for Ruled Sums
- An Iterated Logarithm Theorem for Some Weighted Averages of Independent Random Variables
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