An Explicit Characterization of Admissible Linear Estimators of Fixed and Random Effects in Balanced Random Models

A necessary and sufficient conditions for a linear estimator of a linear function of fixed and random effects in a balanced random model to be admissible are given. The formulae for admissible estimators depend on certain coefficients from the interval [0, 1], as in well-known results for other models (see e.g. Cohen [3]).

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Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).