| Title:
|
On the quadratic derivative of exponential probabilities (English) |
| Author:
|
Rublík, František |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
25 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
267-272 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper it is shown that exponential families of probabilities have the quadratic derivative of the likelihood ratio, and explicit formulas for this derivative are derived. (English) |
| Keyword:
|
quadratic derivative |
| Keyword:
|
exponential family density |
| MSC:
|
62E15 |
| MSC:
|
62E99 |
| MSC:
|
62F99 |
| idZBL:
|
Zbl 0465.62020 |
| idMR:
|
MR0583587 |
| DOI:
|
10.21136/AM.1980.103860 |
| . |
| Date available:
|
2008-05-20T18:14:38Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103860 |
| . |
| Reference:
|
[1] R. Engelking: An Outline of General Topology.(in Polish). Warszawa 1968. MR 0230273 |
| Reference:
|
[2] R. A. Johnson G. G. Roussas: Asymptotically most powerful tests in Markov processes.Ann. Math. Stat. 40 (1969), 1207-1215. MR 0264753, 10.1214/aoms/1177697497 |
| Reference:
|
[3] R. A. Johnson G. G. Roussas: Asymptotically optimal tests in Markov processes.Ann. Math. Stat. 41 (1970), 918-938. MR 0279925, 10.1214/aoms/1177696969 |
| Reference:
|
[4] R. A. Johnson G. G. Roussas: Applications of Contiguity to Multiparameter Hypotheses Testing.Proceedings of the Sixth Berkeley Symposium on Math. Stat. and Prob. |
| Reference:
|
[5] E. L. Lehman: Testing Statistical Hypotheses.New York 1959. MR 0107933 |
| Reference:
|
[6] F. Leja: Complex Functions.(in Polish). Warszawa 1971. |
| Reference:
|
[7] G. G. Roussas: Контигуальность вероятностных мер.Москва 1975. Zbl 0368.62014 |
| . |
