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

DOI Zbl

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 
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
@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 },
     year = {2002},
     volume = {_N_S_71},
     number = {85},
     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
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
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM0271009B/
%R 10.2298/PIM0271009B
%G en
%F 10_2298_PIM0271009B

Cité par Sources :