Nonnegative unbiased estimability of linear combinations of two variance components |
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Authors: | Jerzy K. Baksalary Anna Molińska |
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Affiliation: | Department of Mathematical and Statistical Methods, Academy of Agriculture, 60-637 Poznań, Poland |
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Abstract: | For a general mixed model with two variance components θ1 and θ2, a criterion for a function q1θ1+q2θ2 to admit an unbiased nonnegative definite quadratic estimator is established in a form that allows answering the question of existence of such an estimator more explicitly than with the use of the criteria known hitherto. An application of this result to the case of a random one-way model shows that for many unbalanced models the estimability criterion is expressible directly by the largest of the numbers of observations within levels, thus extending the criterion established by LaMotte (1973) for balanced models. |
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Keywords: | Primary 62J10 Mixed model Random one-way model Nonnegative quadratic unbiased estimator |
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