| Title:
|
On Klotz's result on the asymptotic efficiency for the signed rank tests (English) |
| Author:
|
Ho, Nguyen Van |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
21 |
| Issue:
|
4 |
| Year:
|
1976 |
| Pages:
|
290-295 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
A formula for the Bahadur efficiency of the signed rank test symmetry is derived. This is a special case of the author's previous result, but in the present paper the proof is based on a different simpler method suitable for the class of simple rank statistics. The assumptions are more general than in Klotz's paper in Ann. Math. Statist. 36 (1965). () |
| MSC:
|
60G20 |
| MSC:
|
62G10 |
| idZBL:
|
Zbl 0351.62027 |
| idMR:
|
MR0494676 |
| DOI:
|
10.21136/AM.1976.103648 |
| . |
| Date available:
|
2008-05-20T18:05:13Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103648 |
| . |
| Reference:
|
[1] R. R. Bahadur: Rates of convergence of estimates and test statistics.Ann. Math. Statist. 38 (1967), 303-324. Zbl 0201.52106, MR 0207085, 10.1214/aoms/1177698949 |
| Reference:
|
[2] W. Feller: Generalization of a probability limit theorem of Cramér.Trans. Amer. Math. Soc. 54 (1943), 361-372. Zbl 0063.01342, MR 0009262 |
| Reference:
|
[3] Nguyen-van-Ho: Asymptotic efficiency in the Bahadur sense for the signed rank tests.Proceedings of the Prague symposium on asymptotic statistics, September 1973, vol. II, 127- 156. MR 0388655 |
| Reference:
|
[4] J. Klotz: Alternative efficiencies for signed rank tests.Ann. Math. Statist. 36 (1965), 1759 to 1766. Zbl 0151.23604, MR 0185760, 10.1214/aoms/1177699804 |
| Reference:
|
[5] И. П. Натансон: Теория функций вещественной переменной.Москва 1950. Zbl 1157.76305 |
| . |
