A-minimax and D-minimax robust optimal designs for approximately linear Haar-wavelet models

Yongge Tian; Agnes M. Herzberg

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A-minimax and D-minimax robust optimal designs for approximately linear Haar-wavelet models

机译：近似线性Haar小波模型的A-minimax和D-minimax鲁棒优化设计

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摘要

A closed form for the mean square error matrix of the approximately linear Haar-wavelet model is derived. From this, the A-minimax and D-minimax robust optimal designs for the approximately linear Haar-wavelet model can be constructed explicitly.

机译：推导了近似线性Haar小波模型的均方误差矩阵的封闭形式。据此，可以明确构造近似线性Haar小波模型的A-maxmax和D-minimax鲁棒最优设计。

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来源
《Computational statistics & data analysis 》 |2006年第10期| 共10页
作者
Yongge Tian; Agnes M. Herzberg;
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正文语种 eng
中图分类计算技术、计算机技术 ;
关键词
Haar wavelets; Approximately linear model; Model matrix; A-minimax robust optimal design; D-minimax robust optimal design;

机译：Haar小波;近似线性模型;模型矩阵;A-最小极大鲁棒最优设计;D-最小极大鲁棒最优设计;

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专利

1. A-minimax and D-minimax robust optimal designs for approximately linear Haar-wavelet models [J] . Yongge Tian, Agnes M. Herzberg Computational statistics & data analysis . 2006 ,第10期

机译：近似线性Haar小波模型的A-minimax和D-minimax鲁棒优化设计
2. D-optimal Designs for a Combined Simple Linear and Haar-Wavelet Regression Model [J] . YONGGE TIAN, AGNES M. HERZBERG Communications in Statistics. A, Theory and Methods . 2006 ,第4a6期

机译：用于组合简单的线性和Haar-小波回归模型的D-最优设计
3. Development of a D-optimal design-based 0-1 mixed-integer nonlinear robust parameter design optimization model for finding optimum design factor level settings [J] . Akin OEzdemir, Mehmet Turkoz Computers & Industrial Engineering . 2020 ,第Nova期

机译：开发基于D-Optimal设计的0-1混合整数非线性鲁棒参数设计优化模型，用于查找最佳设计因子级别设置
4. Robust Nonlinear Model Predictive Control with Reduction of Uncertainty via Robust Optimal Experiment Design [C] . Sergio Lucia, Radoslav Paulen IFAC World Congress . 2014

机译：鲁棒非线性模型预测控制，通过鲁棒优化实验设计减少不确定性
5. Optimal designs for linear Haar-wavelet models. [D] . Tian, Yongge. 2003

机译：线性Haar小波模型的最佳设计。
6. Is the Linear Modeling Technique Good Enough for Optimal Form Design? A Comparison of Quantitative Analysis Models [O] . Yang-Cheng Lin, Chung-Hsing Yeh, Chen-Cheng Wang, 2012

机译：线性建模技术是否足以进行最佳表单设计？定量分析模型的比较
7. Locally Optimal and robust designs for two-parameter nonlinear models with application to survival models [O] . Konstantinou Maria 2013

机译：局部最优和稳健的双参数非线性模型设计，适用于生存模型
8. Robustness of Design against Autocorrelation in Time. I. Asymptotic Theory, Optimality for Location and Linear Regression [R] . Bickel, P. J., Herzberg, A. M. 1979

机译：设计与时间自相关的鲁棒性。 I.渐近理论，位置最优性和线性回归

A-minimax and D-minimax robust optimal designs for approximately linear Haar-wavelet models

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