Abstract
Problems of the best estimation of unknown parameters of a linear regression in the Hilbert space in the presence of various prior information are investigated. Optimal designs for a class of designs often encountered in applications are constructed.
Literature cited
A. Yu. Zaigraev, “Optimal design of the experiment when estimating unknown random regressing coefficients,” Kibernetika, No. 2, 120–126 (1990).
A. Yu. Zaigraev, “A quasiminimax estimator of unknown parameters and optimal designs of a regression experiment in the Hilbert space,” in: Analiticheskie Metody Issledovaniya Evolutsii Stokhasticheskikh Sistem, Inst. Mat. Akad. Nauk Ukr. SSR (1989), pp. 21–29.
G. Trenkler and P. Stahlecker, “Quasi minimax estimation in the linear regression model,” Math. Operationsforschung und Statistik, Ser. Statist.,18, No. 2, 219–226 (1987).
A. Yu. Zaigraev, “On design of a regression experiment in the Hilbert space,” Teor. Sluch. Prots.,16, 23–28 (1988).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 5, pp. 688–696, May, 1991.
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Zaigraev, A.Y. Estimation of unknown parameters of linear regression in the presence of prior information. Ukr Math J 43, 640–648 (1991). https://doi.org/10.1007/BF01058553
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DOI: https://doi.org/10.1007/BF01058553