| Title:
|
One singular multivariate linear model with nuisance parameters (English) |
| Author:
|
Kunderová, Pavla |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
57-69 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The multivariate linear model, in which the matrix of the first order parameters is divided into two matrices: to the matrix of the useful parameters and to the matrix of the nuisance parameters, is considered. (English) |
| Keyword:
|
singular multivariate linear model |
| Keyword:
|
useful and nuisance parameters |
| Keyword:
|
BLUE |
| MSC:
|
62J05 |
| idZBL:
|
Zbl 1081.62035 |
| idMR:
|
MR2218568 |
| . |
| Date available:
|
2009-08-21T06:47:50Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133374 |
| . |
| Reference:
|
[1] Kubáček L., Kubáčková L., Volaufová J.: Statistical Models with Linear Structures. : Veda, Publishing House of the Slovak Academy of Sciences, Bratislava., 1995. |
| Reference:
|
[2] Kubáčková L., Kubáček L.: Elimination Transformation of an Observation Vector preserving Information on the First and Second Order Parameters.Technical Report, No 11, 1990, Institute of Geodesy, University of Stuttgart, 1–71. |
| Reference:
|
[3] Kubáček L., Kubáčková L.: Statistika a metrologie. : Vydavatelství UP, Olomouc., 2000. |
| Reference:
|
[4] Fišerová E., Kubáček L., Kunderová P.: Linear Statistical Models: Regularity, Singularities. : Academia, Praha., in preparation. |
| Reference:
|
[5] Kunderová P.: On one Multivariate linear model with nuisance parameters.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 36 (1997), 131–139. Zbl 0953.62051, MR 1620533 |
| Reference:
|
[6] Kunderová P.: Locally best and uniformly best estimators in linear model with nuisance parameters.Tatra Mt. Math. Publ. 22 (2001), 27–36. Zbl 1001.62021, MR 1889032 |
| Reference:
|
[7] Kunderová P.: On eliminating transformations for nuisance parameters in multivariate linear model.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 43 (2004), 87–104. Zbl 1060.62068, MR 2124606 |
| Reference:
|
[8] Nordström K., Fellman J.: Characterizations and dispersion-matrix robustness of efficiently estimable parametric functionals in linear models with nuisance parameters.Linear Algebra and its Applications 127 (1990), 341–361. Zbl 0709.62063, MR 1048807 |
| . |
