In Memory of Wenbo V. Li’s Contributions

DOI10.1007/978-3-319-40519-3_12zbMath1382.60007OpenAlexW2523599489MaRDI QIDQ2954048

Qui-Man Shao

Publication date: 11 January 2017

Published in: High Dimensional Probability VII (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-40519-3_12

zbMATH Keywords

metric entropyopen questionscomparison inequalitycorrelation inequalitysmall value probabilities

Mathematics Subject Classification ID

Gaussian processes (60G15) History of probability theory (60-03)

Cites Work

• Pfaffians, Hafnians and products of real linear functionals
• On the singularity probability of discrete random matrices
• Comparison results for the lower tail of Gaussian seminorms
• Metric entropy and the small ball problem for Gaussian measures
• The first exit time of a Brownian motion from an unbounded convex domain
• Large and moderate deviations for intersection local times
• Approximation, metric entropy and small ball estimates for Gaussian measures
• A normal comparison inequality and its applications
• Exact \(L^2\) small balls of Gaussian processes
• The first exit time of planar Brownian motion from the interior of a parabola
• Lower tail probabilities for Gaussian processes.
• A Gaussian correlation inequality and its applications to small ball probabilities
• On random ±1 matrices: Singularity and determinant
• On the minimum of several random variables

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