On the integrability of \(\sup | S_ n| /n^{1/r}\) for \(1
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Publication:1091029
DOI10.1016/0167-7152(87)90103-9zbMath0622.60035OpenAlexW1988325136MaRDI QIDQ1091029
Publication date: 1987
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-7152(87)90103-9
Related Items (4)
On moment conditions for the supremum of normed sums ⋮ A note on moments of the maximum of Cesàro summation ⋮ Complete convergence of bootstrapped means and moments of the supremum of normed bootstrapped sums ⋮ The Hàjek-Rènyi inequlity for Banach space valued random variable sequences and its application
Cites Work
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- On the integrability of \(\sup|S_n/n|\) for subsequences.
- Martingales with a countable filtering index set
- On the maximal inequalities for the average of pairwise i.i.d. random variables
- Successive Conditional Expectations of an Integrable Function
- Some Results on the Complete and Almost Sure Convergence of Linear Combinations of Independent Random Variables and Martingale Differences
- On Moments of the Maximum of Normed Partial Sums
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