Exact Lower and Upper Bounds for Gaussian Measures

DOI10.1137/S0040585X97T991088MaRDI QIDQ5046639

Iosif Pinelis

Publication date: 9 November 2022

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.09266

zbMATH Keywords

monotonicityGaussian measuresshiftsunimodalityexact boundsmultivariate normal distributionlogconcavitytests for mean

Mathematics Subject Classification ID

Statistics (62-XX) Probability theory and stochastic processes (60-XX)

Cites Work

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• Schur\(^2\)-concavity properties of Gaussian measures, with applications to hypotheses testing
• Majorization in multivariate distributions
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability Inequalities
• The Brunn-Minkowski inequality

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