Some remarks on a question of Strassen
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Publication:1908545
DOI10.1007/BF01247838zbMath0838.60004OpenAlexW2005344237MaRDI QIDQ1908545
Philip S. Griffin, James Kuelbs
Publication date: 27 May 1996
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01247838
Gaussian processes (60G15) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
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Cites Work
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- A lim inf result in Strassen's law of the iterated logarithm
- Rates of clustering in Strassen's LIL for Brownian motion
- Strong invariance principles for partial sums of independent random vectors
- Exact rate of convergence in Strassen's law of the iterated logarithm
- An improvement of Strassen's invariance principle
- Rates of clustering in Strassen's LIL for partial sum processes
- Gaussian samples approach ``smooth points slowest
- Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm
- Clustering behavior of finite variance partial sum processes
- Lim inf results for Gaussian samples and Chung's functional LIL
- An invariance principle for the law of the iterated logarithm
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