The Gaussian measure of shifted balls
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Publication:1326276
DOI10.1007/BF01192511zbMath0792.60004OpenAlexW2067539122MaRDI QIDQ1326276
Wenbo V. Li, Werner Linde, James Kuelbs
Publication date: 24 July 1994
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01192511
exact asymptoticslarge deviation estimatesGaussian measure on a Hilbert spacesmall deviation estimates
Gaussian processes (60G15) Probability measures on topological spaces (60B05) Large deviations (60F10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
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Cites Work
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- Small ball estimates for Brownian motion and the Brownian sheet
- A lim inf result in Strassen's law of the iterated logarithm
- Comparison results for the lower tail of Gaussian seminorms
- A strong convergence theorem for Banach space valued random variables
- Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm
- Lim inf results for Gaussian samples and Chung's functional LIL
- Potential theory on Hilbert space
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