Bounds on the maximum of the density for sums of independent random variables
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Publication:2253971
DOI10.1007/s10958-014-1836-9zbMath1320.60054OpenAlexW2063555056MaRDI QIDQ2253971
Sergey G. Bobkov, Gennadiy P. Chistyakov
Publication date: 16 February 2015
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-014-1836-9
Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50)
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Concentration functions and entropy bounds for discrete log-concave distributions ⋮ The limit empirical spectral distribution of complex matrix polynomials ⋮ Quantitative form of Ball’s cube slicing in ℝⁿ and equality cases in the min-entropy power inequality ⋮ Richter's local limit theorem, its refinement, and related results ⋮ Decay of convolved densities via Laplace transform ⋮ Regularity of linear and polynomial images of Skorohod differentiable measures ⋮ Large ball probabilities, Gaussian comparison and anti-concentration ⋮ Arak Inequalities for Concentration Functions and the Littlewood--Offord Problem
Cites Work
- Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures
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- Best constants in Young's inequality, its converse, and its generalization to more than three functions
- Inequalities in Fourier analysis
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- Optimal Young's inequality and its converse: A simple proof
- The sub-Gaussian constant and concentration inequalities
- Some inequalities satisfied by the quantities of information of Fisher and Shannon
- Cube Slicing in R n
- Information theoretic inequalities
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