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COVARIANCE INEQUALITIES FOR CONVEX AND LOG-CONCAVE FUNCTIONS
Michel Bonnefont, Erwan Hillion, Adrien Saumard

COVARIANCE INEQUALITIES FOR CONVEX AND LOG-CONCAVE FUNCTIONS

Science & Mathematics Published 2023 Verification Pending

Overview & Synopsis

Extending results of Hargé and Hu for the Gaussian measure, we prove inequalities for the covariance Cov_µ(f, g) where µ is a general product probability measure on R d and f, g : R^d → R satisfy some convexity or log-concavity assumptions, with possibly some symmetries.

Indexed from repository: HAL Open Science (hal.science)
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Document Information

Document Title COVARIANCE INEQUALITIES FOR CONVEX AND LOG-CONCAVE FUNCTIONS
Author / Organization Michel Bonnefont, Erwan Hillion, Adrien Saumard
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2023
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-236849
Original Source Link Visit Source Page on hal.science »