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Two stage linear model with constraints. (English) Zbl 0793.62036
Summary: A two stage linear model with constraints on parameters is under consideration. These constraints occur in the second stage, however parameters of the both stages are involved in them. The problem is to construct a linear estimator in the second stage under the condition that the estimator of the first stage parameter must not be changed.

MSC:
62J05 Linear regression; mixed models
62F30 Parametric inference under constraints
62H12 Estimation in multivariate analysis
62F10 Point estimation
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References:
[1] KUBÁČEK L.: Multistage regression model. Apl. Mat. 31 (1986), 89-96. · Zbl 0595.62062
[2] KUBÁČEK L.: Two stage regression model. Math. Slovaca 38 (1988), 383-393. · Zbl 0662.62057
[3] KUBÁČEK L.: Foundations of Estimation Theory. Elsevier, Amsterdam-Oxford-New York-Tokyo, 1988. · Zbl 0698.62004
[4] KUBÁČEK L.: Equivalent algorithms for estimation in linear model with condition. Math. Slovaca 41 (1991), 401-421. · Zbl 0762.62018
[5] RAO C. R., MITRA S. K.: Generalized Inverse of Matrices and Its Applications. J. Wiley, New York, 1971. · Zbl 0236.15005
[6] VOLAUFOVÁ J.: Estimation of parameters of mean and variance in two-stage linear models. Apl. Mat. 32 (1987), 1-8. · Zbl 0616.62091
[7] VOLAUFOVÁ J.: Note on the estimation of parameters of the mean and the variance in n-stage linear models. Apl. Mat. 33 (1988), 41-48. · Zbl 0635.62067
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