Multivariate regression model with constraints

Lubomír Kubáček

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 3, page [271]-296
  • ISSN: 0232-0525

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Kubáček, Lubomír. "Multivariate regression model with constraints." Mathematica Slovaca 57.3 (2007): [271]-296. <http://eudml.org/doc/34646>.

@article{Kubáček2007,
author = {Kubáček, Lubomír},
journal = {Mathematica Slovaca},
keywords = {confidence regions; variance components; Wishart matrix},
language = {eng},
number = {3},
pages = {[271]-296},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Multivariate regression model with constraints},
url = {http://eudml.org/doc/34646},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Kubáček, Lubomír
TI - Multivariate regression model with constraints
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 3
SP - [271]
EP - 296
LA - eng
KW - confidence regions; variance components; Wishart matrix
UR - http://eudml.org/doc/34646
ER -

References

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  2. FIŠEROVÁ E.-KUBÁČEK L., Sensitivity аnаlysis in singulаr mixed lineаr models with constrаints, Kуbernetika (Prague) 39 (2003), 317-332. MR1995736
  3. KUBÁČEK L., Regression model with estimаted covаriаnce mаtrix, Math. Slovaca 33 (1983), 395-408. (1983) MR0720510
  4. KUBÁČEK L.-KUBÁČKOVÁ L.-VOLAUFOVÁ J.: S, tаtisticаl Models with lineаr Structures, Veda, Bratislava, 1995. (1995) 
  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. (1995) Zbl0852.62063MR1447258
  6. KUBÁČEK L., Linear model with inaccurate variance components, Appl. Math. 41 (1996), 433-445. (1996) Zbl0870.62056MR1415250
  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. (1996) 
  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. (1998) MR1652104
  9. KUBÁČEK L.-KUBÁČKOVA L., Nonsensitiveness regions in universal models, Math. Slovaca 50 (2000), 219-240. Zbl0984.62040MR1763121
  10. KUBÁČEK L.-FIŠEROVÁ E., Problems of sensitiveness and linearization in a determination of isobestic points, Math. Slovaca 53 (2003), 407-426. Zbl1070.62057MR2025473
  11. KUBÁČEK L.-FIŠEROVÁ E., Isobestic points: sensitiveness and linearization, Tatra Mt. Math. Publ. 26 (2003), 1-10. Zbl1065.62118MR2055178
  12. LEŠANSKÁ E., Insensitivity regions for estimators of mean value parameters in mixed models with constraints, Tatra Mt. Math. Publ. 22 (2001) 37-49. Zbl1001.62012MR1889033
  13. LEŠANSKÁ E., Insensitivity regions for testing hypotheses in mixed models with constraints, Tatra Mt. Math. Publ. 22 (2001), 209-222. Zbl1001.62011MR1889046
  14. LEŠANSKÁ E., Optimization of the size of nonsensitiveness regions, Appl. Math. 47 (2002) 9-23. MR1876489
  15. LEŠANSKÁ E., Nonsensitiveness regions for threshold ellipsoids, Appl. Math. 47 (2002), 411-426. Zbl1091.62518MR1924678
  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. Zbl1046.62070MR1994206
  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. (1967) MR0212930
  18. RAO C. R., Linear Statistical Inference and Its Applications, (2nd ed.), J. Wiley, New York, 1973. (1973) Zbl0256.62002MR0346957
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  20. RAO C. R.-KLEFFE J., Estimation of Variance Components and Applications, North-Holland, Amsterdam, 1988. (1988) Zbl0645.62073MR0933559

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