caa a22 4500 477076572 CHVBK 20180405111440.0 cr unu---uuuuu 170330e19960401xx s 000 0 eng 10.1007/BF00046988 doi (NATIONALLICENCE)springer-10.1007/BF00046988 Nonnegative quadratic estimation of the mean squared errors of minimax estimators in the linear regression model [Elektronische Daten] [S. Gnot, G. Trenkler] In this paper, the problem of nonnegative quadratic estimation of the mean squared errors of minimax estimators of β in the linear regression modelE(y)=Xβ, VAR(y) = σ2 is discussed. An explicit formula for the admissible nonnegative minimum biased estimator is given. Some applications to one-way classification model are also considered. Kluwer Academic Publishers, 1996 62J05 nationallicence 62H12 nationallicence linear model nationallicence minimax estimators nationallicence total mean squared error nationallicence nonnegative minimum biased estimator nationallicence one-way classification model nationallicence Gnot S. Pedagogical University, Zielona Góra, Poland aut Trenkler G. University of Dortmund, Dortmund, Germany aut Acta Applicandae Mathematica Kluwer Academic Publishers 43/1(1996-04-01), 71-80 0167-8019 43:1<71 1996 43 10440 https://doi.org/10.1007/BF00046988 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00046988 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gnot S. Pedagogical University, Zielona Góra, Poland aut NATIONALLICENCE 700 1- Trenkler G. University of Dortmund, Dortmund, Germany aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 43/1(1996-04-01), 71-80 0167-8019 43:1<71 1996 43 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer