| Title:
|
Outliers in models with constraints (English) |
| Author:
|
Kubáček, Lubomír |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
42 |
| Issue:
|
6 |
| Year:
|
2006 |
| Pages:
|
673-698 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Outliers in univariate and multivariate regression models with constraints are under consideration. The covariance matrix is assumed either to be known or to be known only partially. (English) |
| Keyword:
|
univariate regression model |
| Keyword:
|
multivariate regression model |
| Keyword:
|
constraints |
| Keyword:
|
outlier |
| Keyword:
|
variance components |
| MSC:
|
62F10 |
| MSC:
|
62F30 |
| MSC:
|
62F35 |
| MSC:
|
62H12 |
| MSC:
|
62J05 |
| MSC:
|
62J20 |
| idZBL:
|
Zbl 1249.62005 |
| idMR:
|
MR2296508 |
| . |
| Date available:
|
2009-09-24T20:20:04Z |
| Last updated:
|
2015-03-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135744 |
| . |
| Reference:
|
[1] Anderson T. W.: Introduction to Multivariate Statistical Analysis.Wiley, New York 1958 Zbl 1039.62044, MR 0091588 |
| Reference:
|
[2] Barnett V., Lewis T.: Outliers in Statistical Data.Wiley, New York 1994 Zbl 0801.62001, MR 1272911 |
| Reference:
|
[3] Gnanadesikan R.: Methods for Statistical Data Analysis of Multivariate Observations.Wiley, New York – Chichester – Weinheim – Brisbane – Singapore – Toronto 1997 Zbl 0403.62034, MR 1428423 |
| Reference:
|
[4] Humak K. M. S.: Statistische Methoden der Modellbildung, Band I.Akademie Verlag, Berlin 1977 Zbl 0353.62001, MR 0464503 |
| Reference:
|
[5] Kubáček L., Kubáčková, L., Volaufová J.: Statistical Models with Linear Structures.Veda, Bratislava 1995 |
| Reference:
|
[6] Kubáček L., Kubáčková L.: Nonsensitiveness regions in universal models.Math. Slovaca 50 (2000), 219–240 Zbl 0984.62040, MR 1763121 |
| Reference:
|
[7] Lešanská E.: Insensitivity regions in mixed models (in Czech).Ph.D. Thesis. Faculty of Science, Palacký University, Olomouc 2001 |
| Reference:
|
[8] Lešanská E.: Insensitivity regions for testing hypotheses in mixed models with constraints.Tatra Mt. Math. Publ. 22 (2001), 209–222 Zbl 1001.62011, MR 1889046 |
| Reference:
|
[9] Lešanská E.: Optimization of the size of nonsensitivity regions.Appl. Math. 47 (2002), 9–23 MR 1876489, 10.1023/A:1021750700055 |
| Reference:
|
[10] Rao C. R., Mitra S. K.: Generalized Inverse of Matrices and Its Applications.Wiley, New York 1971 Zbl 0261.62051, MR 0338013 |
| Reference:
|
[11] Rao C. R., Kleffe J.: Estimation of Variance Components and Applications.North–Holland, Amsterdam 1988 Zbl 0645.62073, MR 0933559 |
| Reference:
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[12] Scheffé H.: The Analysis of Variance.Wiley, New York 1959 Zbl 0998.62500, MR 0116429 |
| Reference:
|
[13] Zvára K.: Regression Analysis (in Czech).Academia, Praha 1989 |
| . |
