Geodesic
A Note on the Generalized (Positive) Cauchy Distribution
Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 865-868

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

In this note, a certain generalization of the Cauchy distribution is obtained, using the result of Malik [2].The generalized gamma distribution having the density (1) is introduced by Stacy [1], who studied some of its properties. As remarked by Stacy [1], the familiar gamma, chi, chi-squared, exponential and Weibull distributions are special cases of (1), as are the distributions of certain functions of a normal variable - viz. 
Rao, B. Raja; Garg, M. L. A Note on the Generalized (Positive) Cauchy Distribution. Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 865-868. doi: 10.4153/CMB-1969-114-2
@article{10_4153_CMB_1969_114_2,
     author = {Rao, B. Raja and Garg, M. L.},
     title = {A {Note} on the {Generalized} {(Positive)} {Cauchy} {Distribution}},
     journal = {Canadian mathematical bulletin},
     pages = {865--868},
     year = {1969},
     volume = {12},
     number = {6},
     doi = {10.4153/CMB-1969-114-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-114-2/}
}
TY  - JOUR
AU  - Rao, B. Raja
AU  - Garg, M. L.
TI  - A Note on the Generalized (Positive) Cauchy Distribution
JO  - Canadian mathematical bulletin
PY  - 1969
SP  - 865
EP  - 868
VL  - 12
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-114-2/
DO  - 10.4153/CMB-1969-114-2
ID  - 10_4153_CMB_1969_114_2
ER  - 
%0 Journal Article
%A Rao, B. Raja
%A Garg, M. L.
%T A Note on the Generalized (Positive) Cauchy Distribution
%J Canadian mathematical bulletin
%D 1969
%P 865-868
%V 12
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-114-2/
%R 10.4153/CMB-1969-114-2
%F 10_4153_CMB_1969_114_2

[1] 1. Stacy, E. W., A generalization of the gamma distribution. Ann. Math. Statist. 33 (1962) 1187–1192. Google Scholar

[2] 2. Malik, H. J., Exact distribution of the quotient of independent generalized gamma variables. Canad. Math. Bull. 10 (1967) 463–465. Google Scholar

Cité par Sources :