| Title:
|
The Berry-Esseen theorem for rank statistics (English) |
| Author:
|
Hušková, Marie |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
20 |
| Issue:
|
3 |
| Year:
|
1979 |
| Pages:
|
399-415 |
| . |
| Category:
|
math |
| . |
| MSC:
|
60F05 |
| MSC:
|
62E20 |
| MSC:
|
62G10 |
| idZBL:
|
Zbl 0416.60023 |
| idMR:
|
MR550444 |
| . |
| Date available:
|
2008-06-05T21:02:01Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105939 |
| . |
| Reference:
|
[1] von BAHR B.: Remainder Term Estimate in a Combinatorial Limit Theorem.Z. Wahrscheinlichkeitstheorie verw. Gebiete 35, (1976), 131-139. Zbl 0366.60028, MR 0418187 |
| Reference:
|
[2] BERGSTRÖM H., PURI M. L.: Convergence and Remainder Terms in Linear Rank Statistics.Ann. Statist. 5, (1977), 671-680. MR 0451490 |
| Reference:
|
[3] CALLAERT H., JANSSEN P.: The Berry-Esseen Theorem for $U$-statistics.6, (1978), 417-421. Zbl 0393.60022, MR 0464359 |
| Reference:
|
[4] ERICKSON R. V., KOUL H.: Rates of Convergence for Linear Rank Statistics.Ann. Statist. 4, (1976), 771-774. Zbl 0332.62010, MR 0413356 |
| Reference:
|
[5] HÁJEK J., ŠIDÁK Z.: Theory of Rank Tests.Academia, Prague, (1967). MR 0229351 |
| Reference:
|
[6] HUŠOVÁ M.: The Rate of Convergence of Simple Linear Rank Statistics under Hypothesis and Alternatives.Ann. Statist. 4, (1977), 658-670. MR 0458711 |
| Reference:
|
[7] JUREČKOVÁ J., PURI M. L.: Order of Normal Approximation for Rank Test Statistics Distribution.Am. Probability 3, (1975), 526-533. MR 0378181 |
| Reference:
|
[8] DHARMADHIKARl S. W., FABIAN V., JODGEO K.: Bounds on the Moments of Martingales.Ann. Math. Statist., 39, (1968), 1719-1723. MR 0230363 |
| Reference:
|
[9] WELLNER J.: Convergence of the sequential uniform empirical processes with bounds for centered beta rv's and a log-log law.Technical report no. 31, Univ. of Washington, (1974). |
| . |
