| Title:
|
A characterization of the gamma distribution in terms of conditional moment (English) |
| Author:
|
Koicheva, Maia |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
38 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
19-22 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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). (English) |
| Keyword:
|
characterization of distribution |
| Keyword:
|
Gamma distribution |
| Keyword:
|
conditional moment |
| Keyword:
|
failure rate |
| MSC:
|
60E05 |
| MSC:
|
60E99 |
| MSC:
|
62E10 |
| idZBL:
|
Zbl 0778.62010 |
| idMR:
|
MR1202077 |
| DOI:
|
10.21136/AM.1993.104531 |
| . |
| Date available:
|
2008-05-20T18:44:49Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104531 |
| . |
| Reference:
|
[1] T. A. Azlarov N. A. Volodin: Characterization problems associated with the exponential distribution.."FAN", Tashkent, (1982). MR 0714525 |
| Reference:
|
[2] J. Galamos S. Kotz: Characterizations of probability distributions.Lect. Notes Math. 675 (1978). |
| Reference:
|
[3] A. M. Kagan Y. V. Linnik C. R. Rao: Characterization problems in mathematical statistics."Nauka", Moskva, 1972. MR 0315813 |
| Reference:
|
[4] J. Letac: A characterization of the gamma distribution.Adv. Apl. Prob. 17 (1985), 911-912. Zbl 0579.60013, MR 0809436, 10.2307/1427095 |
| Reference:
|
[5] E. Lukacs: A characterization of the gamma distribution.Ann. Math. Statist. 26 (1965), 319-324. MR 0069408, 10.1214/aoms/1177728549 |
| Reference:
|
[6] Shunji Osaki, Xin-xiang Li: Characterizations of gamma and negative binomial distributions.IEEE Transactions on reliability 37 (4) (1988), 379-382. 10.1109/24.9843 |
| . |
