Eliminating transformations for nuisance parameters in linear regression models with type I constraints

Pavla Kunderová

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2007)

  • Volume: 46, Issue: 1, page 51-64
  • ISSN: 0231-9721

Abstract

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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.

How to cite

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Kunderová, Pavla. "Eliminating transformations for nuisance parameters in linear regression models with type I constraints." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 46.1 (2007): 51-64. <http://eudml.org/doc/32461>.

@article{Kunderová2007,
abstract = {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.},
author = {Kunderová, Pavla},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {regular linear regression model; nuisance parameters; BLUE; constraints; regular liner regression model; BLUE},
language = {eng},
number = {1},
pages = {51-64},
publisher = {Palacký University Olomouc},
title = {Eliminating transformations for nuisance parameters in linear regression models with type I constraints},
url = {http://eudml.org/doc/32461},
volume = {46},
year = {2007},
}

TY - JOUR
AU - Kunderová, Pavla
TI - Eliminating transformations for nuisance parameters in linear regression models with type I constraints
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2007
PB - Palacký University Olomouc
VL - 46
IS - 1
SP - 51
EP - 64
AB - 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.
LA - eng
KW - regular linear regression model; nuisance parameters; BLUE; constraints; regular liner regression model; BLUE
UR - http://eudml.org/doc/32461
ER -

References

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  1. Anderson T. W.: Introduction to Multivariate Statistical Analysis., J. Wiley, New York, , 1958. (1958) MR0091588
  2. Kubáček L., Kubáčková L., Volaufová J.: Statistical Models with Linear Structures., Veda (Publishing House of Slovak Academy of Sciences), Bratislava, , 1995. (1995) 
  3. Lešanská E., Optimization of the size of nonsensitiveness regions, Appl. Math. 47 (2002), 9–23. MR1876489
  4. Rao C. R.: Linear Statistical Inference, Its Applications., J. Wiley, New York, , 1973 (second edition). (1973) MR0346957
  5. Rao C. R., Mitra S. K.: Genaralized Inverse of Matrices, its Applications., John Wiley & Sons, New York– London–Sydney–Toronto, , 1971. (1971) MR0338013
  6. Rao C. R., Kleffe J.: Estimation of Variance Components, Applications., North–Holland, Amsterdam–New York–Oxford–Tokyo, , 1988. (1988) MR0933559

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