| Title:
|
How the design of an experiment influences the nonsensitiveness regions in models with variance components (English) |
| Author:
|
Kubáček, Lubomír |
| Author:
|
Kubáčková, Ludmila |
| Author:
|
Tesaříková, Eva |
| Author:
|
Marek, Jaroslav |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
43 |
| Issue:
|
6 |
| Year:
|
1998 |
| Pages:
|
439-460 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Nonsensitiveness regions for estimators of linear functions, for confidence ellipsoids, for the level of a test of a linear hypothesis on parameters and for the value of the power function are investigated in a linear model with variance components. The influence of the design of an experiment on the nonsensitiveness regions mentioned is numerically demonstrated and discussed on an example. (English) |
| Keyword:
|
mixed linear model |
| Keyword:
|
model with variance components |
| Keyword:
|
nonsensitiveness region |
| MSC:
|
62J05 |
| MSC:
|
62J10 |
| MSC:
|
62K99 |
| idZBL:
|
Zbl 0937.62070 |
| idMR:
|
MR1652104 |
| DOI:
|
10.1023/A:1023269321385 |
| . |
| Date available:
|
2009-09-22T17:59:18Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134398 |
| . |
| Reference:
|
[1] L. Kubáček, L. Kubáčková: The effect of stochastic relations on the statistical properties of an estimator.Contr. Geoph. Inst. Slov. Acad. Sci. 17 (1987), 31–42. |
| Reference:
|
[2] L. Kubáček: Foundations of Estimation Theory.Elsevier, Amsterdam-Oxford-New York-Tokyo, 1988. MR 0995671 |
| Reference:
|
[3] L. Kubáčková, L. Kubáček, M. Bognárová: Effect of changes of the covariance matrix parameters on the estimates of the first order parameters.Contr. Geoph. Inst. Slov. Acad. Sci. 20 (1990), 7–19. |
| Reference:
|
[4] L. Kubáček, L. Kubáčková: Sensitiveness and non-sensitiveness in mixed linear models.Manuscripta geodaetica 16 (1991), 63–71. |
| Reference:
|
[5] L. Kubáček: Criterion for an approximation of variance components in regression models.Acta Universitatis Palackianae Olomucensis, Fac. rer. nat., Mathematica 34 (1995), 91–108. MR 1447258 |
| Reference:
|
[6] L. Kubáček: Linear model with inaccurate variance components.Applications of Mathematics 41 (1996), 433–445. MR 1415250 |
| Reference:
|
[7] S. S. Wilks: Mathematical Statistics.J. Wiley & Sons, Inc., New York, London, 1962. Zbl 0173.45805, MR 0144404 |
| . |
