Repeated regression experiment and estimation of variance components

Lubomír Kubáček

Mathematica Slovaca (1984)

  • Volume: 34, Issue: 1, page 103-114
  • ISSN: 0139-9918

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Kubáček, Lubomír. "Repeated regression experiment and estimation of variance components." Mathematica Slovaca 34.1 (1984): 103-114. <http://eudml.org/doc/31621>.

@article{Kubáček1984,
author = {Kubáček, Lubomír},
journal = {Mathematica Slovaca},
keywords = {repeated regression experiment; Wishart distribution; Hilbert; space; multivariate normal distribution; minimum norm unbiased; estimator; MINUE; Rao-Cramér lower bound; variance components; symmetric matrices},
language = {eng},
number = {1},
pages = {103-114},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Repeated regression experiment and estimation of variance components},
url = {http://eudml.org/doc/31621},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Kubáček, Lubomír
TI - Repeated regression experiment and estimation of variance components
JO - Mathematica Slovaca
PY - 1984
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 34
IS - 1
SP - 103
EP - 114
LA - eng
KW - repeated regression experiment; Wishart distribution; Hilbert; space; multivariate normal distribution; minimum norm unbiased; estimator; MINUE; Rao-Cramér lower bound; variance components; symmetric matrices
UR - http://eudml.org/doc/31621
ER -

References

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  1. ANDERSON T. W., Introduction to Multivariate Statistical Analysis, J. Wiley, N. York 1958. (1958) Zbl0083.14601MR0091588
  2. KUBÁČEK L., Regression model with estimated covariance matгix, Math. Slovaca 33, 1983, 395-408. (1983) MR0720510
  3. LEHMANN E. L., SCHEFFÉ H., Completeness, similar regions and unbiased estimation - Part I, Sankhya 10, 1950, 306-340. (1950) MR0039201
  4. RAO C. R., Estimation of variance and covariance components-MINQUE theory, Journ. Multivariat. Analysis 1, 1971, 257-275. (1971) Zbl0223.62086MR0301869
  5. RAO C. R., MITRA K. S., Generalized Inverse of Matrices and its Application, J. Wiley, N. York 1971. (1971) MR0338013
  6. RAO C. R., KLEFFE J., Estimation of Variance Components, In: Krisnaiah, P. R., ed. Handbook of Statistics, Vol. I. 1-40, North Holland, N. York 1980. . (1980) Zbl0476.62058
  7. SEELY J., Lineaг spaces and unbiased estimation, Ann. Math. Statistics, 41, 1971, 1725-1734. (1971) MR0275559
  8. SEELY J., Linear spaces and unbiased estimation - application to the mixed linear model, Ann. Math. Statistics, 41, 1970, 1735-1748. (1970) Zbl0263.62041MR0275560

Citations in EuDML Documents

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  1. Lubomír Kubáček, Comment on C. R. Rao's MINQUE for replicated observations
  2. Lubomír Kubáček, Estimation of covariance components in a repeated regression experiment
  3. František Štulajter, Variance components estimators in a replicated regression model
  4. Lubomír Kubáček, Asymptotical confidence region in a replicated mixed linear model with an estimated covariance matrix
  5. Ivan Žežula, Asymptotic properties of the growth curve model with covariance components
  6. Štefan Varga, Estimations of covariance components in mixed linear models

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