| Title:
|
Exact slopes of the rank statistics for the two-sample case under discrete distributions (English) |
| Author:
|
Vorlíčková, Dana |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
6 |
| Year:
|
1981 |
| Pages:
|
426-431 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The author studies the linear rank statistics for testing the pypothesis of randomness against the alternative of two samples provided both are drawn grom discrete (integer-valued) distributions. The weak law of large numbers and the exact slope are obtained for statistics with randomized ranks of with averaged scores. (English) |
| Keyword:
|
hypothesis of randomness |
| Keyword:
|
weak law of large numbers |
| Keyword:
|
randomized ranks |
| Keyword:
|
averaged scores |
| MSC:
|
60F05 |
| MSC:
|
62G10 |
| idZBL:
|
Zbl 0478.62033 |
| idMR:
|
MR0634279 |
| DOI:
|
10.21136/AM.1981.103932 |
| . |
| Date available:
|
2008-05-20T18:17:52Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103932 |
| . |
| Reference:
|
[1] J. Hájek: Asymptotic sufficiency of the vector of ranks in the Bahadur sense.Ann. Statist. 2(1974), 1105-1125. MR 0356355 |
| Reference:
|
[2] M. Raghavachari: On the theorem of Bahadur on the rate of convergence of test statistics.Ann. Math. Statist. 41 (1970), 1695-1699. MR 0266361, 10.1214/aoms/1177696813 |
| Reference:
|
[3] G. G. Woodworth: Large deviations and Bahadur efficiency of linear rank statistics.Ann. Math. Statist. 41 (1970), 251-283. Zbl 0211.50502, MR 0264804, 10.1214/aoms/1177697206 |
| Reference:
|
[4] D. Vorlíčková: Asymptotic properties of rank tests under discrete distributions.Z. Wahrscheinlichkeitstheorie. verw. Geb. 14 (1970), 275-289. MR 0269049, 10.1007/BF00533666 |
| . |
