Geodesic
On the Laplace Transforms of Logconcave Densities
Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 9 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

This paper describes for any given logconcave density $f$ the set of all finite measures $\mu$ whose Laplace transforms are asymptotic to the Laplace transform of $f$. It is shown that the density of $\mu$ is asymptotic to $f$ if it is logconcave. Thus logconcavity is a Tauberian condition for Laplace transforms of finite measures.
DOI : 10.2298/PIM0271009B
Classification : 60E10 44A10 40E05 
@article{10_2298_PIM0271009B,
     author = {A.A. Balkema},
     title = {On the {Laplace} {Transforms} of {Logconcave} {Densities}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {9 },
     publisher = {mathdoc},
     volume = {_N_S_71},
     number = {85},
     year = {2002},
     doi = {10.2298/PIM0271009B},
     zbl = {1080.60011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0271009B/}
}
TY  - JOUR
AU  - A.A. Balkema
TI  - On the Laplace Transforms of Logconcave Densities
JO  - Publications de l'Institut Mathématique
PY  - 2002
SP  - 9 
VL  - _N_S_71
IS  - 85
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM0271009B/
DO  - 10.2298/PIM0271009B
LA  - en
ID  - 10_2298_PIM0271009B
ER  - 
%0 Journal Article
%A A.A. Balkema
%T On the Laplace Transforms of Logconcave Densities
%J Publications de l'Institut Mathématique
%D 2002
%P 9 
%V _N_S_71
%N 85
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM0271009B/
%R 10.2298/PIM0271009B
%G en
%F 10_2298_PIM0271009B
A.A. Balkema. On the Laplace Transforms of Logconcave Densities. Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 9 . doi : 10.2298/PIM0271009B. http://geodesic.mathdoc.fr/articles/10.2298/PIM0271009B/

Cité par Sources :