| Title:
|
Two-sample rank tests based on exceeding observations (English) |
| Author:
|
Stoimenova, Eugenia |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
52 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
345-352 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Simple rank statistics are used to test that two samples come from the same distribution. Šidák’s $E$-test (Apl. Mat. 22 (1977), 166–175) is based on the number of observations from one sample that exceed all observations from the other sample. A similar test statistic is defined in Ann. Inst. Stat. Math. 52 (1970), 255–266. We study asymptotic behavior of the moments of both statistics. (English) |
| Keyword:
|
location problem |
| Keyword:
|
$E$-test statistic |
| Keyword:
|
$M$-test statistic |
| MSC:
|
62G10 |
| MSC:
|
62G20 |
| idZBL:
|
Zbl 1164.62347 |
| idMR:
|
MR2324732 |
| DOI:
|
10.1007/s10492-007-0019-0 |
| . |
| Date available:
|
2009-09-22T18:30:17Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134680 |
| . |
| Reference:
|
[1] T. Haga: A two-sample rank test on location.Ann. Inst. Stat. Math. 11 (1960), 211–219. Zbl 0207.18503, MR 0119315, 10.1007/BF01682330 |
| Reference:
|
[2] J. Hájek, Z. Šidák: Theory of rank tests.Academic Press, Orlando, 1967. MR 0229351 |
| Reference:
|
[3] S. Rosenbaum: Tables for a nonparametric test of location.Ann. Math. Stat. 25 (1954), 146–150. Zbl 0056.37602, MR 0061314, 10.1214/aoms/1177728854 |
| Reference:
|
[4] Z. Šidák: Tables for the two-sample location $E$-test based on exceeding observations.Apl. Mat. 22 (1977), 166–175. MR 0440791 |
| Reference:
|
[5] Z. Šidák, J. Vondráček: A simple non-parametric test of the difference in location of two populations.Apl. Mat. 2 (1957), 215–221. MR 0090203 |
| Reference:
|
[6] E. Stoimenova: Rank tests based on exceeding observations.Ann. Inst. Stat. Math. 52 (2000), 255–266. Zbl 0959.62042, MR 1763562, 10.1023/A:1004161721553 |
| . |
