| Title:
|
Multivariate regression model with constraints (English) |
| Author:
|
Kubáček, Lubomír |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
[271]-296 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62F30 |
| MSC:
|
62H12 |
| MSC:
|
62J05 |
| idZBL:
|
Zbl 1150.62029 |
| idMR:
|
MR2357824 |
| . |
| Date available:
|
2009-09-25T14:38:31Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136954 |
| . |
| Reference:
|
[1] ANDERSON T.W.: Introduction to Multivаriаte Stаtisticаl Anаlysis.J. Wiley, New York, 1958. MR 0091588 |
| Reference:
|
[2] FIŠEROVÁ E.-KUBÁČEK L.: Sensitivity аnаlysis in singulаr mixed lineаr models with constrаints.Kуbernetika (Prague) 39 (2003), 317-332. MR 1995736 |
| Reference:
|
[3] KUBÁČEK L.: Regression model with estimаted covаriаnce mаtrix.Math. Slovaca 33 (1983), 395-408. MR 0720510 |
| Reference:
|
[4] KUBÁČEK L.-KUBÁČKOVÁ L.-VOLAUFOVÁ J.: S: tаtisticаl Models with lineаr Structures.Veda, Bratislava, 1995. |
| Reference:
|
[5] KUBÁČEK L.: Criterion for an approximation of variance components in regression models.Acta Univ. Palack. Olomuc Fac Rerum Natur. Math. 34 (1995), 91-108. Zbl 0852.62063, MR 1447258 |
| Reference:
|
[6] KUBÁČEK L.: Linear model with inaccurate variance components.Appl. Math. 41 (1996), 433-445. Zbl 0870.62056, MR 1415250 |
| Reference:
|
[7] KUBÁČEK L.-KUBÁČKOVA L.: Nonsensitiveness regions in models with variance components.In: 4th World Congress of the Bernoulli Society, Vienna, Austria, August 26-31, 1996, p. 281. |
| Reference:
|
[8] KUBÁČEK L.-KUBÁČKOVA L.- TESAŘÍKOVA E.- MAREK J.: How the design of an experiment influences the nonsensitiveness regions in models with variance components.Appl. Math. 43 (1998) 439-460. MR 1652104 |
| Reference:
|
[9] KUBÁČEK L.-KUBÁČKOVA L.: Nonsensitiveness regions in universal models.Math. Slovaca 50 (2000), 219-240. Zbl 0984.62040, MR 1763121 |
| Reference:
|
[10] KUBÁČEK L.-FIŠEROVÁ E.: Problems of sensitiveness and linearization in a determination of isobestic points.Math. Slovaca 53 (2003), 407-426. Zbl 1070.62057, MR 2025473 |
| Reference:
|
[11] KUBÁČEK L.-FIŠEROVÁ E.: Isobestic points: sensitiveness and linearization.Tatra Mt. Math. Publ. 26 (2003), 1-10. Zbl 1065.62118, MR 2055178 |
| Reference:
|
[12] LEŠANSKÁ E.: Insensitivity regions for estimators of mean value parameters in mixed models with constraints.Tatra Mt. Math. Publ. 22 (2001) 37-49. Zbl 1001.62012, MR 1889033 |
| Reference:
|
[13] 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:
|
[14] LEŠANSKÁ E.: Optimization of the size of nonsensitiveness regions.Appl. Math. 47 (2002) 9-23. MR 1876489 |
| Reference:
|
[15] LEŠANSKÁ E.: Nonsensitiveness regions for threshold ellipsoids.Appl. Math. 47 (2002), 411-426. Zbl 1091.62518, MR 1924678 |
| Reference:
|
[16] LEŠANSKÁ E.: Effect of inaccurate variance components in mixed models with constraints.In: Folia Fac. Sci. Natur. Univ. Masaryk. Brun. Math. 11, Masaryk Univ., Brno, 2002, pp. 163-172. Zbl 1046.62070, MR 1994206 |
| Reference:
|
[17] RAO C. R.: Least squares theory using an estimated dispersion matrix and its application to measurement in signal.In.: Proc. 5th Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1. Theory of Statistics. University of California Press, Berkeley-Los Angeles, 1967, pp. 355-372. MR 0212930 |
| Reference:
|
[18] RAO C. R.: Linear Statistical Inference and Its Applications.(2nd ed.), J. Wiley, New York, 1973. Zbl 0256.62002, MR 0346957 |
| Reference:
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[19] RAO C. R.-MITRA S. K.: Generalized Inverse of Matrices and Its Applications.J. Wiley, New York, 1971. Zbl 0236.15005, MR 0338013 |
| Reference:
|
[20] RAO C. R.-KLEFFE J.: Estimation of Variance Components and Applications.North-Holland, Amsterdam, 1988. Zbl 0645.62073, MR 0933559 |
| . |
