| Title:
|
Nonsensitiveness regions for threshold ellipsoids (English) |
| Author:
|
Lešanská, Eva |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
47 |
| Issue:
|
5 |
| Year:
|
2002 |
| Pages:
|
411-426 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The problem is to determine nonsensitiveness regions for threshold ellipsoids within a regular mixed linear model. (English) |
| Keyword:
|
mixed linear model |
| Keyword:
|
power function |
| Keyword:
|
threshold ellipsoid |
| Keyword:
|
nonsensitiveness region |
| MSC:
|
62H05 |
| MSC:
|
62H15 |
| MSC:
|
62J05 |
| idZBL:
|
Zbl 1091.62518 |
| idMR:
|
MR1924678 |
| DOI:
|
10.1023/A:1021761924588 |
| . |
| Date available:
|
2009-09-22T18:11:05Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134505 |
| . |
| Reference:
|
[1] J. Janko: Statistical Tables.Academia, Praha, 1958. (Czech) MR 0150924 |
| Reference:
|
[2] L. Kubáček: Criterion for approximation of variance components in regression models.Acta Univ. Palack. Olomouc. Fac. Rerum Natur. Math. 34 (1995), 91–108. MR 1447258 |
| Reference:
|
[3] L. Kubáček: Linear model with inaccurate variance components.Appl. Math. 41 (1996), 433–445. MR 1415250 |
| Reference:
|
[4] L. Kubáček, L. Kubáčková: Nonsensitiveness regions in universal models.Math. Slovaca 50 (2000), 219–240. MR 1763121 |
| Reference:
|
[5] L. Kubáček, L. Kubáčková, E. Tesaříková and J. Marek: How the design of an experiment influences the nonsensitiveness regions in models with variance components.Appl. Math. 43 (1998), 439–460. MR 1652104, 10.1023/A:1023269321385 |
| Reference:
|
[6] L. Kubáčková: Joint confidence and threshold ellipsoids in regression models.Tatra Mt. Math. Publ. 7 (1996), 157–160. MR 1408465 |
| Reference:
|
[7] E. Lešanská: Optimization of the size of nonsensitiveness regions.Appl. Math. 47 (2002), 9–23. MR 1876489, 10.1023/A:1021750700055 |
| Reference:
|
[8] C. R. Rao: Statistical Inference and Its Applications.J. Wiley, New York-London-Sydney, 1965. Zbl 0137.36203, MR 0221616 |
| . |
