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Linear minimax estimation in a mixed model under ellipsoidal constraints. (Chinese. English summary) Zbl 1082.62051

Summary: Estimation of the coefficient vector of a linear regression model subject to ellipsoidal constraints on the coefficients has been considered. The minimax estimator is compared to classical regression. Sufficient conditions for this estimator have also been derived.

MSC:

62H12 Estimation in multivariate analysis
62F30 Parametric inference under constraints
62C20 Minimax procedures in statistical decision theory