S-inequality for certain product measures
Piotr Nayar, Tomasz Tkocz
TL;DR
This paper proves the S-inequality for specific product measures and ideals in R^n, leading to new concentration of measure estimates and optimal moment comparisons for Weibull and Gamma distributions.
Contribution
It introduces the S-inequality for certain product measures and ideals, providing new tools for analyzing Weibull and Gamma distributions.
Findings
Established the S-inequality for specific product measures and ideals.
Derived concentration of measure estimates for Weibull and Gamma distributions.
Provided optimal comparison of moments for these distributions.
Abstract
In this paper we prove the S-inequality for certain product probability measures and ideals in R^n . As a result, for the Weibull and Gamma product distributions we derive concentration of measure type estimates as well as optimal comparison of moments.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPoint processes and geometric inequalities · Mathematical Approximation and Integration · Advanced Harmonic Analysis Research