Geodesic
A characterization of the gamma distribution in terms of conditional moment
Applications of Mathematics, Tome 38 (1993) no. 1, pp. 19-22

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
A characteriyation of the Gamma distribution in terms of the $k$-th conditional moment presented in this paper extends the result of Shunji Osaki and Xin-xiang Li (1988).
A characteriyation of the Gamma distribution in terms of the $k$-th conditional moment presented in this paper extends the result of Shunji Osaki and Xin-xiang Li (1988).
DOI : 10.21136/AM.1993.104531
Classification : 60E05, 60E99, 62E10
Keywords: characterization of distribution; Gamma distribution; conditional moment; failure rate 
Koicheva, Maia. A characterization of the gamma distribution in terms of conditional moment. Applications of Mathematics, Tome 38 (1993) no. 1, pp. 19-22. doi: 10.21136/AM.1993.104531
@article{10_21136_AM_1993_104531,
     author = {Koicheva, Maia},
     title = {A characterization of the gamma distribution in terms of conditional moment},
     journal = {Applications of Mathematics},
     pages = {19--22},
     year = {1993},
     volume = {38},
     number = {1},
     doi = {10.21136/AM.1993.104531},
     mrnumber = {1202077},
     zbl = {0778.62010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104531/}
}
TY  - JOUR
AU  - Koicheva, Maia
TI  - A characterization of the gamma distribution in terms of conditional moment
JO  - Applications of Mathematics
PY  - 1993
SP  - 19
EP  - 22
VL  - 38
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104531/
DO  - 10.21136/AM.1993.104531
LA  - en
ID  - 10_21136_AM_1993_104531
ER  - 
%0 Journal Article
%A Koicheva, Maia
%T A characterization of the gamma distribution in terms of conditional moment
%J Applications of Mathematics
%D 1993
%P 19-22
%V 38
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104531/
%R 10.21136/AM.1993.104531
%G en
%F 10_21136_AM_1993_104531

[1] T. A. Azlarov N. A. Volodin: Characterization problems associated with the exponential distribution. "FAN", Tashkent, (1982). | MR

[2] J. Galamos S. Kotz: Characterizations of probability distributions. Lect. Notes Math. 675 (1978).

[3] A. M. Kagan Y. V. Linnik C. R. Rao: Characterization problems in mathematical statistics. "Nauka", Moskva, 1972. | MR

[4] J. Letac: A characterization of the gamma distribution. Adv. Apl. Prob. 17 (1985), 911-912. | DOI | MR | Zbl

[5] E. Lukacs: A characterization of the gamma distribution. Ann. Math. Statist. 26 (1965), 319-324. | DOI | MR

[6] Shunji Osaki, Xin-xiang Li: Characterizations of gamma and negative binomial distributions. IEEE Transactions on reliability 37 (4) (1988), 379-382. | DOI

Cité par Sources :