| Title:
|
Eliminating transformations for nuisance parameters in linear regression models with type I constraints (English) |
| Author:
|
Kunderová, Pavla |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
51-64 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The linear regression model in which the vector of the first order parameter is divided into two parts: to the vector of the useful parameters and to the vector of the nuisance parameters is considered. The type I constraints are given on the useful parameters. We examine eliminating transformations which eliminate the nuisance parameters without loss of information on the useful parameters. (English) |
| Keyword:
|
regular linear regression model |
| Keyword:
|
nuisance parameters |
| Keyword:
|
BLUE |
| Keyword:
|
constraints |
| MSC:
|
62F30 |
| MSC:
|
62H12 |
| MSC:
|
62J05 |
| idZBL:
|
Zbl 1139.62035 |
| idMR:
|
MR2387493 |
| . |
| Date available:
|
2009-08-27T10:25:56Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133393 |
| . |
| Reference:
|
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| Reference:
|
[2] Kubáček L., Kubáčková L., Volaufová J.: Statistical Models with Linear Structures. : Veda (Publishing House of Slovak Academy of Sciences), Bratislava., 1995. |
| Reference:
|
[3] Lešanská E.: Optimization of the size of nonsensitiveness regions.Appl. Math. 47 (2002), 9–23. MR 1876489 |
| Reference:
|
[4] Rao C. R.: Linear Statistical Inference, Its Applications. : J. Wiley, New York., 1973 (second edition). MR 0346957 |
| Reference:
|
[5] Rao C. R., Mitra S. K.: Genaralized Inverse of Matrices, its Applications. : John Wiley & Sons, New York– London–Sydney–Toronto., 1971. MR 0338013 |
| Reference:
|
[6] Rao C. R., Kleffe J.: Estimation of Variance Components, Applications. : North–Holland, Amsterdam–New York–Oxford–Tokyo., 1988. MR 0933559 |
| . |
