# Bad luck in quadratic improvement of the linear estimator in a special linear model

Applications of Mathematics (1998)

- Volume: 43, Issue: 1, page 1-7
- ISSN: 0862-7940

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topWimmer, Gejza. "Bad luck in quadratic improvement of the linear estimator in a special linear model." Applications of Mathematics 43.1 (1998): 1-7. <http://eudml.org/doc/32993>.

@article{Wimmer1998,

abstract = {The paper concludes our investigations in looking for the locally best linear-quadratic estimators of mean value parameters and of the covariance matrix elements in a special structure of the linear model (2 variables case) where the dispersions of the observed quantities depend on the mean value parameters. Unfortunately there exists no linear-quadratic improvement of the linear estimator of mean value parameters in this model.},

author = {Wimmer, Gejza},

journal = {Applications of Mathematics},

keywords = {linear model with dispersions depending on the mean value parameters; locally best linear-quadratic unbiased estimator (LBLQUE) of mean value parameters; dispersions depending on mean value parameters; locally best linear-quadratic unbiased estimators; mean value estimation; linear models},

language = {eng},

number = {1},

pages = {1-7},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Bad luck in quadratic improvement of the linear estimator in a special linear model},

url = {http://eudml.org/doc/32993},

volume = {43},

year = {1998},

}

TY - JOUR

AU - Wimmer, Gejza

TI - Bad luck in quadratic improvement of the linear estimator in a special linear model

JO - Applications of Mathematics

PY - 1998

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 43

IS - 1

SP - 1

EP - 7

AB - The paper concludes our investigations in looking for the locally best linear-quadratic estimators of mean value parameters and of the covariance matrix elements in a special structure of the linear model (2 variables case) where the dispersions of the observed quantities depend on the mean value parameters. Unfortunately there exists no linear-quadratic improvement of the linear estimator of mean value parameters in this model.

LA - eng

KW - linear model with dispersions depending on the mean value parameters; locally best linear-quadratic unbiased estimator (LBLQUE) of mean value parameters; dispersions depending on mean value parameters; locally best linear-quadratic unbiased estimators; mean value estimation; linear models

UR - http://eudml.org/doc/32993

ER -

## References

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- Uniformly best linear-quadratic estimator in a special structure of the regression model, Acta Math. Univ. Comenianae LXI (1992), 243–250. (1992) Zbl0819.62061MR1205877
- Estimation in a special structure of the linear model, Mathematica Slovaca 43 (1993), 221–264. (1993) Zbl0779.62061MR1274604
- Linear-quadratic estimators in a special structure of the linear model, Applications of Mathematics 40 (1995), 81–105. (1995) Zbl0832.62050MR1314481
- Covariance matrix elements estimation: Special linear model without and with repeated measurement, Mathematica Slovaca 47 (1997), . (1997) MR1796337

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