| Title:
|
On the continuity of invariant statistics (English) |
| Author:
|
Ho, Nguyen Van |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
23 |
| Issue:
|
5 |
| Year:
|
1978 |
| Pages:
|
381-388 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to establish theorems on the absolute continuity of translation as well as scale invariant statistics in general, from which the related results by Hodges-Lehmann and Puri-Sen follow. The continuity relations between the joint cdf of a random vector and its marginal cdf's are also considered. (English) |
| Keyword:
|
continuity of invariant statistics |
| Keyword:
|
translation invariant statistic |
| Keyword:
|
scale invariant statistics |
| Keyword:
|
joint distribution |
| Keyword:
|
marginal distribution |
| MSC:
|
60E05 |
| MSC:
|
62A01 |
| MSC:
|
62A05 |
| MSC:
|
62E15 |
| MSC:
|
62G05 |
| idZBL:
|
Zbl 0414.62005 |
| idMR:
|
MR0501556 |
| DOI:
|
10.21136/AM.1978.103763 |
| . |
| Date available:
|
2008-05-20T18:10:19Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103763 |
| . |
| Reference:
|
[1] P. J. Bickel E. L. Lehmann: Descriptive statistics for nonparametric models. I. Introduction.Ann. Statist. (1975), V. 3, N. 5, 1038-1044. MR 0395020 |
| Reference:
|
[2] P. J. Bickel E. L. Lehmann: Descriptive statistics for nonparametric models. II. Location.Ann. Statist. (1975), V. 3, N. 5, 1045-1069. MR 0395021 |
| Reference:
|
[3] J. L. Hodges, Jr. E. L. Lehmann: Estimates of location based on rank tests.Ann. Math. Stat. (1963), V. 34, 598-611. MR 0152070, 10.1214/aoms/1177704172 |
| Reference:
|
[4] M. L. Puri P. K. Sen: Nonparametric methods in multivariate analysis.New York, 1971. MR 0298844 |
| . |
