One singular multivariate linear model with nuisance parameters

Pavla Kunderová

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2005)

  • Volume: 44, Issue: 1, page 57-69
  • ISSN: 0231-9721

Abstract

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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.

How to cite

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Kunderová, Pavla. "One singular multivariate linear model with nuisance parameters." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 44.1 (2005): 57-69. <http://eudml.org/doc/32442>.

@article{Kunderová2005,
abstract = {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.},
author = {Kunderová, Pavla},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
language = {eng},
number = {1},
pages = {57-69},
publisher = {Palacký University Olomouc},
title = {One singular multivariate linear model with nuisance parameters},
url = {http://eudml.org/doc/32442},
volume = {44},
year = {2005},
}

TY - JOUR
AU - Kunderová, Pavla
TI - One singular multivariate linear model with nuisance parameters
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2005
PB - Palacký University Olomouc
VL - 44
IS - 1
SP - 57
EP - 69
AB - 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.
LA - eng
UR - http://eudml.org/doc/32442
ER -

References

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  1. Kubáček L., Kubáčková L., Volaufová J.: Statistical Models with Linear Structures., Veda, Publishing House of the Slovak Academy of Sciences, Bratislava, , 1995. (1995) 
  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. (1990) 
  3. Kubáček L., Kubáčková L.: Statistika a metrologie., Vydavatelství UP, Olomouc, , 2000. 
  4. Fišerová E., Kubáček L., Kunderová P.: Linear Statistical Models: Regularity, Singularities., Academia, Praha, , in preparation. 
  5. Kunderová P., On one Multivariate linear model with nuisance parameters, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 36 (1997), 131–139. (1997) Zbl0953.62051MR1620533
  6. Kunderová P., Locally best and uniformly best estimators in linear model with nuisance parameters, Tatra Mt. Math. Publ. 22 (2001), 27–36. Zbl1001.62021MR1889032
  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. Zbl1060.62068MR2124606
  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. (1990) Zbl0709.62063MR1048807

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