Optimal elimination of nuisance parameters in mixed linear models

Lubomír Kubáček

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 3, page 287-301
  • ISSN: 0139-9918

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Kubáček, Lubomír. "Optimal elimination of nuisance parameters in mixed linear models." Mathematica Slovaca 40.3 (1990): 287-301. <http://eudml.org/doc/34305>.

@article{Kubáček1990,
author = {Kubáček, Lubomír},
journal = {Mathematica Slovaca},
keywords = {optimal elimination transformation; mixed linear model; nuisance vector parameters; linear transformations; necessary parameter; locally best quadratic estimator of variance components},
language = {eng},
number = {3},
pages = {287-301},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Optimal elimination of nuisance parameters in mixed linear models},
url = {http://eudml.org/doc/34305},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Kubáček, Lubomír
TI - Optimal elimination of nuisance parameters in mixed linear models
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 3
SP - 287
EP - 301
LA - eng
KW - optimal elimination transformation; mixed linear model; nuisance vector parameters; linear transformations; necessary parameter; locally best quadratic estimator of variance components
UR - http://eudml.org/doc/34305
ER -

References

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  1. FELLMAN J., Linear models with nuisance parameters - some theoretical results applied to balanced designs, Meddelanden working papers. Swedish School of Economics and Business Administrations. Working papers 147, 1986. (1986) 
  2. FELLMAN J., Estimation in linear models with nuisance parameters, Statistics & Decisions, Supplement issue No 2, 1985, 161-164. (1985) Zbl0609.62109MR0829486
  3. KLEFFE J., Simultaneous estimation of expectation and covariance matrix in linear models, Zentralinstitut für Mathematik und Mechanik der Akademie der Wissenschaften der DDR, Berlin 1977. (1977) 
  4. KUBÁČEK L., KUBÁČKOVÁ L., Statistical aspect of eliminating systematic effects, Studia geoph. et geod. 30, 1986, 1-12. (1986) 
  5. KUBÁČEK L., Elimination of nuisance parameters in a regression model, Math. Slovaca 36, 1986, 137-144. (1986) Zbl0605.62081MR0849704
  6. RAO C. R., MITRA S. K., Generalized Inverse of Matrices and Its Application, N. York, J. Wiley 1971. (1971) MR0338013
  7. RAO C. R., KLEFFE J., Estimation of variance components, In: P. R. Krishnaiah (Ed.), Handbook of Statistics. Vol. I. North-Holland, Amsterdam 1980. (1980) Zbl0476.62058

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