| A Necessary and Sufficient Condition for Admissibility of Nonnegative Quadratic Estimator |
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| 作者单位： | Department of Mathematics，Northeast Normal University，Changchum 130024 |
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| 摘 要： | ＡＮｅｃｅｓｓａｒｙａｎｄＳｕｆｆｉｃｉｅｎｔＣｏｎｄｉｔｉｏｎｆｏｒＡｄｍｉｓｓｉｂｉｌｉｔｙｏｆＮｏｎｎｅｇａｔｉｖｅＱｕａｄｒａｔｉｃＥｓｔｉｍａｔｏｒＬｕＣｈａｎｇｙｕ（鹿长余）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｎｏｒｔｈｅａ...
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A Necessary and Sufficient Condition for Admissibility of Nonnegative Quadratic Estimator |
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| Authors: | Lu Changyu |
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| Abstract: | The admissibility of a nonnegntive quadratic estimator of variance components in the model is considered. For general X, a necessary condition for admissibility of nonnegative quadratic estimator is given. For nonsingular X,a necessary and sufficient condition for admissibility of a homogeneous nonnegative quadratic estimator or a inhomogeneous nonnegative quadrat quadratic estimator is given. |
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| Keywords: | Variance Component Model Nonnegntive Quadratic Estimator Admissibility |
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