Robustness of the best linear unbiased estimator and predictor in linear regression models
Applications of Mathematics, Tome 35 (1990) no. 2, pp. 162-168.
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If is shown that in linear regression models we do not make a great mistake if we substitute some sufficiently precise approximations for the unknown covariance matrix and covariance vector in the expressions for computation of the best linear unbiased estimator and predictor.
DOI :
10.21136/AM.1990.104398
Classification :
62F35, 62J05, 62M20
Mots-clés : linear regression model; mean integrated square error; the best linear unbiased estimator and predictor; robustness; covariance matrix
Mots-clés : linear regression model; mean integrated square error; the best linear unbiased estimator and predictor; robustness; covariance matrix
@article{10_21136_AM_1990_104398, author = {\v{S}tulajter, Franti\v{s}ek}, title = {Robustness of the best linear unbiased estimator and predictor in linear regression models}, journal = {Applications of Mathematics}, pages = {162--168}, publisher = {mathdoc}, volume = {35}, number = {2}, year = {1990}, doi = {10.21136/AM.1990.104398}, mrnumber = {1042852}, zbl = {0704.62049}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104398/} }
TY - JOUR AU - Štulajter, František TI - Robustness of the best linear unbiased estimator and predictor in linear regression models JO - Applications of Mathematics PY - 1990 SP - 162 EP - 168 VL - 35 IS - 2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104398/ DO - 10.21136/AM.1990.104398 LA - en ID - 10_21136_AM_1990_104398 ER -
%0 Journal Article %A Štulajter, František %T Robustness of the best linear unbiased estimator and predictor in linear regression models %J Applications of Mathematics %D 1990 %P 162-168 %V 35 %N 2 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104398/ %R 10.21136/AM.1990.104398 %G en %F 10_21136_AM_1990_104398
Štulajter, František. Robustness of the best linear unbiased estimator and predictor in linear regression models. Applications of Mathematics, Tome 35 (1990) no. 2, pp. 162-168. doi : 10.21136/AM.1990.104398. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104398/
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