Converse Poincaré-type inequalities for convex functions

DOI10.1016/S0167-7152(96)00163-0zbMath0894.60021MaRDI QIDQ1380628

Sergey G. Bobkov, Christian Houdré

Publication date: 30 August 1998

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Poincaré inequalitydouble exponential distribution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Distribution theory (60E99) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (7)

Covariance identities for exponential and related distributions ⋮ A converse Gaussian Poincaré-type inequality for convex functions ⋮ A Pólya-Szegö inequality in a Fermi metric ⋮ Boundary measures for geometric inference ⋮ A matrix variance inequality ⋮ Pointwise symmetrization inequalities for Sobolev functions and applications ⋮ Isoperimetry and symmetrization for logarithmic Sobolev inequalities

Cites Work

• On an inequality of Chernoff
• On upper and lower bounds for the variance of a function of a random variable
• Lower variance bounds and a new proof of the central limit theorem
• Variance inequalities for functions of Gaussian variables
• Unnamed Item

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