Geodesic
An Inequality Satisfied by the Gamma Function
Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 85-87

Voir la notice de l'article provenant de la source Cambridge

DOI

Gurland [1] by making use of the Cramer-Rao lower bound for the variance of an unbiased estimator obtained the following inequality 1 for real values of α and δ satisfying α+δ>0, α≠0, δ>0. He used the fact that (Γ(δ)Γ(δ+α))x α is an unbiased estimator of θ α where θ is the parameter for the density function 
Selliah, J. B. An Inequality Satisfied by the Gamma Function. Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 85-87. doi: 10.4153/CMB-1976-011-8
@article{10_4153_CMB_1976_011_8,
     author = {Selliah, J. B.},
     title = {An {Inequality} {Satisfied} by the {Gamma} {Function}},
     journal = {Canadian mathematical bulletin},
     pages = {85--87},
     year = {1976},
     volume = {19},
     number = {1},
     doi = {10.4153/CMB-1976-011-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-011-8/}
}
TY  - JOUR
AU  - Selliah, J. B.
TI  - An Inequality Satisfied by the Gamma Function
JO  - Canadian mathematical bulletin
PY  - 1976
SP  - 85
EP  - 87
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-011-8/
DO  - 10.4153/CMB-1976-011-8
ID  - 10_4153_CMB_1976_011_8
ER  - 
%0 Journal Article
%A Selliah, J. B.
%T An Inequality Satisfied by the Gamma Function
%J Canadian mathematical bulletin
%D 1976
%P 85-87
%V 19
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-011-8/
%R 10.4153/CMB-1976-011-8
%F 10_4153_CMB_1976_011_8

Cité par Sources :