Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (2): 171-178.
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HE Can-Zhi, YU Sheng-Hua
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Abstract:
该文在矩阵损失下研究线性预测函数的局部极大极小性．在适当的假设下，得到了任意秩有限总体中的可预测变量的唯一的局部线性Ｍｉｎｉｍａｘ预测．（有关唯一性在几乎处处意义下理解）．
Key words: 矩阵损失, 有限总体, 极大极小预测．
CLC Number:
HE Can-Zhi, YU Sheng-Hua. The Partial Linear Minimax Prediction in Finite Population Under Matrix Loss Function[J].Acta mathematica scientia,Series A, 2001, 21(2): 171-178.
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１ ＰｅｒｅｉｒａＣＡＢ，ＲｏｄｒｉｇｕｅｓＪ．Ｒｏｂｕｓｔｌｉｎｅａｒｐｅｄｉｃｔｉｏｎｉｎｆｉｎｉｔｅｐｏｐｕｌａｔｉｏｎｓ．ＩｎｔｅｒｎａｔｉｏｎａｌＳｔａｔｉｓｔｉｃａｌＲｅｖｉｅｗ，１９８３，５１：２９３－３００ ２ Ｂｏｌｆａｒｉｎｅ Ｈ，ＰｅｒｅｉｒａＣ Ａ Ｂ，ＲｏｄｒｉｇｕｅｓＪ．Ｒｏｂｕｓｔｌｉｎｅａｒｐｒｅｄｉｃｔｉｏｎｉｎｆｉｎｉｔｅｐｏｐｕｌａｔｉｏｎｓ犃Ｂａｙｅｓｉａｎｐｅｒｓｐｅｃｔｉｖｅ．Ｓａｎｋｈｙ珔ａＳｅｒＢ，１９８７，４９：２３－３５ ３ ＢｏｌｆａｒｉｎｅＨ，ＲｏｄｒｉｇｕｅｓＪ．Ｏｎｔｈｅｓｉｍｐｌｅｐｒｏｊｅｃｔｉｏｎｐｒｅｄｉｃｔｏｒｉｎｆｉｎｉｔｅｐｒｏｐｕｌａｔｉｏｎｓ．ＡｕｓｔＪｏｕｒＳｔａｔｉｓｔ，１９８８，３０：３３８－３４１ ４ ＢｏｌｆａｒｉｎｅＨ，ＺａｃｋｓＳ．Ｂａｙｅｓａｎｄ ｍｉｎｉｍａｘｐｒｅｄｉｃｔｉｏｎｉｎｆｉｎｉｔｅｐｏｐｕｌａｔｉｏｎｓ．ＪｏｕｒＳｔａｔｉｓｔｉｃａｌＰｌａｎｎｉｎｇａｎｄＩｎｆｅｒｅｎｃｅ，１９９１，２８：１３９－１５１ ５ Ｂｏｌｆａｒｉｎｅ Ｈ，ＺａｃｋｓＳ，ＥｌｉａｎＳ Ｎ，ＲｏｄｒｉｇｕｅｓＪ．Ｏｐｔｉｍａｌｐｒｅｄｉｃｔｉｏｎｏｆｔｈｅｆｉｎｉｔｅｐｏｐｕｌａｔｉｏｎｒｅｇｒｅｓｓｉｏｎｃｏｅｆｆｉｃｉｅｎｔ．Ｓａｎｋｈｙ珔ａＳｅｒＢ，１９９４，５６：１－１０ ６ ＲｏｄｒｉｇｕｅｓＪ，ＢｏｌｆａｒｉｎｅＨ，ＲｏｇａｋｔｏＡ．Ａｇｅｎｅｒａｌｔｈｅｏｒｙｏｆｐｒｅｄｉｃｔｉｏｎｉｎｆｉｎｉｔｅｐｏｐｕｌａｔｉｏｎｓ．ＩｎｔｅｒｎａｔｉｏｎａｌＳｔａｔｉｓｔｉｃａｌ Ｒｅｖｉｅｗ，１９８５，５３：２３９－２５４ ７ 喻胜华．矩阵损失下一般ＧａｕｓｓＭａｒｋｏｖ模型中回归系数的线性ＭＩＮＩＭＡＸ 估计．系统科学与数学，１９９８，１８（２）：２３４ －２３８
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