| 二次损失下任意秩有限总体中的线性Minimax预测 |
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| 引用本文： | 喻胜华. 二次损失下任意秩有限总体中的线性Minimax预测[J]. 数学年刊A辑(中文版), 2004, 0(4) |
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| 作者姓名： | 喻胜华 |
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| 作者单位： | 中南大学数学科学与计算技术学院 长沙 |
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| 基金项目： | 国家自然科学基金(No.10101006) |
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| 摘 要： | 本文对通常的二次损失作了适当的修改,在此基础上研究了一个预测在齐次线性预测函数类中的极大极小性。得到了任意秩有限总体中线性可预测变量的唯一线性Minimax预测(有关唯一性在几乎处处意义下理解)。
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| 关 键 词： | 有限总体 线性可预测变量 Minimax预测 |
THE LINEAR MINIMAX PREDICTOR IN FINITE POPULATIONS WITH ARBITRARY RANK UNDER QUADRATIC LOSS FUNCTION |
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| YU Shenghua School of Mathematical Sciences and Computing Techenology,Central South University,Changsha ,China.. THE LINEAR MINIMAX PREDICTOR IN FINITE POPULATIONS WITH ARBITRARY RANK UNDER QUADRATIC LOSS FUNCTION[J]. Chinese Annals of Mathematics, 2004, 0(4) |
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| Authors: | YU Shenghua School of Mathematical Sciences Computing Techenology Central South University Changsha China. |
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| Affiliation: | YU Shenghua~* *School of Mathematical Sciences and Computing Techenology,Central South University,Changsha 410083,China. |
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| Abstract: | This paper revises the usual quadratic loss function suitably. On the basis of this the minimax property of nomogeneous linear prediction functions is studied. The author obtains the unique linear minimax predictor of linear predictable variable in finite populations with arbitrary rank (it is must comprehended the uniqueness in the sense "almost everywhere"). |
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| Keywords: | Finite population Linear predictable variable Minimax predictor |
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