Title:
|
Optimization of the size of nonsensitiveness regions (English) |
Author:
|
Lešanská, Eva |
Language:
|
English |
Journal:
|
Applications of Mathematics |
ISSN:
|
0862-7940 (print) |
ISSN:
|
1572-9109 (online) |
Volume:
|
47 |
Issue:
|
1 |
Year:
|
2002 |
Pages:
|
9-23 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
The problem is to determine the optimum size of nonsensitiveness regions for the level of statistical tests. This is closely connected with the problem of the distribution of quadratic forms. (English) |
Keyword:
|
linear model with inaccurate variance components |
Keyword:
|
nonsensitiveness regions |
MSC:
|
62E17 |
MSC:
|
62H15 |
MSC:
|
62J05 |
MSC:
|
62J10 |
idZBL:
|
Zbl 1091.62521 |
idMR:
|
MR1876489 |
DOI:
|
10.1023/A:1021750700055 |
. |
Date available:
|
2009-09-22T18:08:27Z |
Last updated:
|
2020-07-02 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134482 |
. |
Reference:
|
[1] J. P. Imhof: Computing the distribution of quadratic forms in normal variables.Biometrika 48 (1961), 419–426. Zbl 0136.41103, MR 0137199, 10.1093/biomet/48.3-4.419 |
Reference:
|
[2] J. Janko: Statistical Tables.Academia, Praha, 1958. (Czech) MR 0150924 |
Reference:
|
[3] L. Kubáček: Linear model with inaccurate variance components.Appl. Math. 41 (1996), 433–445. MR 1415250 |
Reference:
|
[4] C. R. Rao: Statistical Inference and Its Applications.J. Wiley, New York-London-Sydney, 1965. Zbl 0137.36203, MR 0221616 |
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