Geodesic
A note on the Ehrhard inequality
Studia Mathematica, Tome 118 (1996) no. 2, pp. 169-174

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that for λ ∈ [0,1] and A, B two Borel sets in $ℝ^n$ with A convex, $Φ^{-1}(γ_n(λA + (1-λ)B)) ≥ λΦ^{-1}(γ_n(A)) + (1-λ)Φ^{-1}(γ_n(B))$, where $γ_n$ is the canonical gaussian measure in $ℝ^n$ and $Φ^{-1}$ is the inverse of the gaussian distribution function.
DOI : 10.4064/sm-118-2-169-174

Rafał Latała 1

1 
@article{10_4064_sm_118_2_169_174,
     author = {Rafa{\l} Lata{\l}a},
     title = {A note on the {Ehrhard} inequality},
     journal = {Studia Mathematica},
     pages = {169--174},
     publisher = {mathdoc},
     volume = {118},
     number = {2},
     year = {1996},
     doi = {10.4064/sm-118-2-169-174},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-118-2-169-174/}
}
TY  - JOUR
AU  - Rafał Latała
TI  - A note on the Ehrhard inequality
JO  - Studia Mathematica
PY  - 1996
SP  - 169
EP  - 174
VL  - 118
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-118-2-169-174/
DO  - 10.4064/sm-118-2-169-174
LA  - en
ID  - 10_4064_sm_118_2_169_174
ER  - 
%0 Journal Article
%A Rafał Latała
%T A note on the Ehrhard inequality
%J Studia Mathematica
%D 1996
%P 169-174
%V 118
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-118-2-169-174/
%R 10.4064/sm-118-2-169-174
%G en
%F 10_4064_sm_118_2_169_174
Rafał Latała. A note on the Ehrhard inequality. Studia Mathematica, Tome 118 (1996) no. 2, pp. 169-174. doi: 10.4064/sm-118-2-169-174

Cité par Sources :