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对于任意秩有限总体,在二次损失下,有关文献已给出了线性可预测变量在齐次线性预测类中的唯一线性Minimax预测.本文在正态假设下,证明了这个线性Minimax预测也是线性可预测变量在一切预测类中的唯一Minimax预测. 相似文献
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二次损失下任意秩有限总体中的线性Minimax预测 总被引:3,自引:0,他引:3
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). 相似文献
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喻胜华 《数学年刊A辑(中文版)》2004,(4)
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)。 相似文献
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正态总体中线性可预测变量的Minimax预测 总被引:1,自引:0,他引:1
在二次损失下研究了任意秩有限总体中线性可预测变量Ay的线性预测在一切预测类中的Minimax性.对于一般随机效应线性模型y=Xβ ε,(ε^β)-N(0^Ba),σ(W′^U V^W)),这里X,B,U,V和W是已知矩阵,a∈R^k和σ^2>0是未知参数,文中得到了Ay的惟一Minimax预测。 相似文献
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该文在一般正态随机效应线性模型中研究了随机回归系数和参数的估计问题. 在二次损失下,得到了线性可估函数在一切估计类中的唯一Minimax估计. 相似文献
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一般正态线性模型中可估函数的线性Minimax估计 总被引:3,自引:0,他引:3
对于一般正态线性模型y~N(Xβ,σ2V),这里X和V≥0是已知矩阵,β∈Rp和σ2>0是未知参数,在二次损失下我们研究了可估函数DXβ的线性估计在一切估计类中的Minimax性,得到了DXβ的唯一线性Minimax估计(有关唯一性在几乎处处意义下理解). 相似文献
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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). 相似文献
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二次损失下随机回归系数和参数的线性Minimax估计 总被引:3,自引:0,他引:3
对带有随机效应的一般线性模型,本文提出了随机回归系数和参数线性组合的Minimax估计问题.在二次损失下,研究了线性估计的极小极大性.关于适当的假设,得到了可估函数的唯一线性Minimax估计. 相似文献
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本文研究了一般Gauss-Markov模型中线性可预测变量的线性预测的可容许性.在给出线性预测可容许性定义的基础上,通过构造一个特殊的常量矩阵D0,分别得到了齐次和非齐次线性预测类中可容许的充要条件. 相似文献
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Cornelia Dru?u 《Topology》2004,43(5):983-1033
We prove that the filling order is quadratic for a large class of solvable groups and asymptotically quadratic for all -rank one lattices in semisimple groups of -rank at least 3. As a byproduct of auxiliary results we give a shorter proof of the theorem on the nondistorsion of horospheres providing also an estimate of a nondistorsion constant. 相似文献
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A.K. Ray 《International Journal of Mathematical Education in Science & Technology》2013,44(3):289-302
The present paper outlines some basic principles upon which an outlook in teaching and research in mathematics in educational institutions can be developed. Defining applied mathematics, the author analyses the basic topics of mathematics which permeate throughout the wider fields and diversified aspects of this branch of mathematical science. For the institutions of learning, a course curriculum has been proposed which will gradually motivate, orient and prepare individuals through the process of learning to understand the methods and techniques, so as to apply them to physical problems. This has been illustrated in the fields of fluid dynamics and aerodynamics through the analysis of complex function theory and differential equations. Because of the frustrating situations prevailing amongst students and teachers in the institutions of learning in the present day, a critical analysis has been made to identify the respective roles of the academicians and administrators, and with a view to improving the situation, some remedy has been suggested regarding teaching and research in educational institutions. 相似文献
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Ida A. C. Mok David C. Johnson Joanne Y. H. Cheung Arthur M. S. Lee 《International Journal of Mathematical Education in Science & Technology》2013,44(4):553-567
A review of recent studies in Hong Kong suggests that possible problems in secondary school algebra may be due to the procedural paradigm orientation in the curriculum and the conventional style of teaching in the classroom which do not provide sufficient opportunities for students to develop conceptual understanding. Based on the works of a number of projects in the West, it is hypothesized that the introduction of technology in lessons which embody a cognitive model in their design and delivery will provide a viable alternative for enhancing algebraic thinking. The key features of the cognitive model are concrete preparation, cognitive conflict, construction, metacognition and bridging, imbedded in a ‘mediation’ style of teaching. These features are exemplified by detailed accounts of classroom episodes from a Hong Kong lesson supported by the use of graphics calculators. Results indicate that while the approach places particular demands on teachers (a tension between a transmission style of teaching and mediating) there is real potential for supporting more dynamic student constructions. 相似文献
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R. Bandyopadhyay 《European Journal of Operational Research》1978,2(1):8-25
The paper defines development banking as practised by major Indian commercial banks since 1969. It then goes on to discuss how OR can be useful in tackling problems of development banking. Planning, operational and organisational design problems in relation to development banking are discussed. Several case studies in each area where OR has been applied are discussed. Potential areas of application of OR in each problem class are also identified. The paper then summarizes the experiences gained so far and recommends the action to be taken for the more effective application of OR in developing economies. 相似文献