# Linear-quadratic estimators in a special structure of the linear model

Applications of Mathematics (1995)

- Volume: 40, Issue: 2, page 81-105
- ISSN: 0862-7940

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topWimmer, Gejza. "Linear-quadratic estimators in a special structure of the linear model." Applications of Mathematics 40.2 (1995): 81-105. <http://eudml.org/doc/32907>.

@article{Wimmer1995,

abstract = {The paper deals with the linear model with uncorrelated observations. The dispersions of the values observed are linear-quadratic functions of the unknown parameters of the mean (measurements by devices of a given class of precision). Investigated are the locally best linear-quadratic unbiased estimators as improvements of locally best linear unbiased estimators in the case that the design matrix has none, one or two linearly dependent rows.},

author = {Wimmer, Gejza},

journal = {Applications of Mathematics},

keywords = {parametric estimation; linear model with variances depending on the mean value parameters; locally best linear-quadratic unbiased estimator (LBLQUE); variances depending on the mean value parameters; linear model; uncorrelated observations; locally best linear-quadratic unbiased estimators; locally best linear unbiased estimators},

language = {eng},

number = {2},

pages = {81-105},

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

title = {Linear-quadratic estimators in a special structure of the linear model},

url = {http://eudml.org/doc/32907},

volume = {40},

year = {1995},

}

TY - JOUR

AU - Wimmer, Gejza

TI - Linear-quadratic estimators in a special structure of the linear model

JO - Applications of Mathematics

PY - 1995

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

VL - 40

IS - 2

SP - 81

EP - 105

AB - The paper deals with the linear model with uncorrelated observations. The dispersions of the values observed are linear-quadratic functions of the unknown parameters of the mean (measurements by devices of a given class of precision). Investigated are the locally best linear-quadratic unbiased estimators as improvements of locally best linear unbiased estimators in the case that the design matrix has none, one or two linearly dependent rows.

LA - eng

KW - parametric estimation; linear model with variances depending on the mean value parameters; locally best linear-quadratic unbiased estimator (LBLQUE); variances depending on the mean value parameters; linear model; uncorrelated observations; locally best linear-quadratic unbiased estimators; locally best linear unbiased estimators

UR - http://eudml.org/doc/32907

ER -

## References

top- Electrical measurements, SNTL/ALFA, Praha, 1978. (Czech) (1978)
- The unifying role of iterative generalized least squares in statistical algorithms, Statistical Science 4 (1980), 394–408. (1980) MR1041764
- Generalized linear models, J. Roy. Statist. Soc. Ser A (1972), 370–384. (1972)
- Generalized Inverse of Matrices and Its Applications, J. Willey, New York, 1971. (1971) MR0338013
- Jordan/Eggert/Kneissl Handbuch der Vermessungskunde, Band VI, Stuttgart, 1966. (1966)
- Quasi-likelihood functions, generalized linear models and the GaussNewton method, Biometrika 61 (1974), 439–447. (1974) MR0375592
- Linear model with variance depending on the mean value, Mathematica Slovaca 42 (1992), 223–238. (1992) MR1170107
- Estimation in a special structure of the linear model, Mathematica Slovaca 43 (1993), 221–264. (1993) Zbl0779.62061MR1274604

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