Special structures of mixed linear models with nuisance parameters

Lubomír Kubáček

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 2, page 191-207
  • ISSN: 0232-0525

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Kubáček, Lubomír. "Special structures of mixed linear models with nuisance parameters." Mathematica Slovaca 40.2 (1990): 191-207. <http://eudml.org/doc/32116>.

@article{Kubáček1990,
author = {Kubáček, Lubomír},
journal = {Mathematica Slovaca},
keywords = {nuisance parameters; mixed linear models; minimum variance quadratic unbiased estimation; best linear unbiased estimation; invariant estimators},
language = {eng},
number = {2},
pages = {191-207},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Special structures of mixed linear models with nuisance parameters},
url = {http://eudml.org/doc/32116},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Kubáček, Lubomír
TI - Special structures of mixed linear models with nuisance parameters
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 2
SP - 191
EP - 207
LA - eng
KW - nuisance parameters; mixed linear models; minimum variance quadratic unbiased estimation; best linear unbiased estimation; invariant estimators
UR - http://eudml.org/doc/32116
ER -

References

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  1. KLEFFE J., C R. Rao's MINQUE for replicated and multivariate observations, Lecture Notes in Statistics 2. Mathematical Statistics and Probability Theory. Proc. Sixth International Conference. Wisla (Poland) 1978. Springer, N. York, Heidelberg, Berlin 1979, p. 188-200. (1978) 
  2. KLEFFE J., VOLAUFOVÁ J., Optimality of the sample variance-covariance matrix in replicated measurement design, Sankhya 47, 90, 1985, 90-99. (1985) 
  3. KUBÁČEK L., Elimination of nuisance parameters in a regression model, Math. Slovaca 36, 1986, 137-144. (1986) Zbl0605.62081MR0849704
  4. KUBÁČEK L., Foundations of Estimation Theory, Elsevier, Amsterdam-Oxford-N. York -Tokyo 1988. (1988) Zbl0698.62004MR0995671
  5. KUBÁČEK L., Optimal elimination of nuisance parameters in mixed linear models, (submitted to Math. Slovaca). Zbl0760.62067MR1094782
  6. RAO C. R., Least squares theory using an estimated dispersion matrix and its application to measurements in signal, Proc. 5th Berkeley Symposium on Mathematical Statistics and Probability. Vol. 1. Theory of Statistics. University of California Press, Berkeley-Los Angeles, 1967, p. 355-372. (1967) MR0212930
  7. RAO C. R., MITRA S. K., Generalized Inverse of Matrices and Its Applications, J. Wiley, N. York 1971. (1971) Zbl0236.15005MR0338013
  8. RAO C. R., KLEFFE J., Estimation of variance components, In: P. R. Krishnaiah (Ed.), Handbook of Statistics. Vol. I. North-Holland, Amsterdam-N. York 1980, 1-40. (1980) Zbl0476.62058

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