摘要翻译:
假设变量组Y依赖于R个主题变量组x1,>...,xr。我们假设Y中的组件线性依赖于XR中的组件。在本工作中,我们提出了一个多重协方差准则,将偏最小二乘回归的协方差准则推广到这种多重预测群的情形。在此准则下,我们建立了一种PLS型的探索性方法--结构方程探索性回归(SEER),它允许同时进行分组降维和研究部件的线性模型。SEER使用每组的多维结构。给出了应用实例。
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英文标题:
《A multiple covariance approach to PLS regression with several predictor
groups: Structural Equation Exploratory Regression》
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作者:
Xavier Bry (I3M), Thomas Verron (CEFE), Pierre Cazes (CEREMADE)
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最新提交年份:
2008
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分类信息:
一级分类:Statistics 统计学
二级分类:Methodology 方法论
分类描述:Design, Surveys, Model Selection, Multiple Testing, Multivariate Methods, Signal and Image Processing, Time Series, Smoothing, Spatial Statistics, Survival Analysis, Nonparametric and Semiparametric Methods
设计,调查,模型选择,多重检验,多元方法,信号和图像处理,时间序列,平滑,空间统计,生存分析,非参数和半参数方法
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一级分类:Mathematics 数学
二级分类:Statistics Theory 统计理论
分类描述:Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies
应用统计、计算统计和理论统计:例如统计推断、回归、时间序列、多元分析、数据分析、马尔可夫链蒙特卡罗、实验设计、案例研究
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一级分类:Statistics 统计学
二级分类:Statistics Theory 统计理论
分类描述:stat.TH is an alias for math.ST. Asymptotics, Bayesian Inference, Decision Theory, Estimation, Foundations, Inference, Testing.
Stat.Th是Math.St的别名。渐近,贝叶斯推论,决策理论,估计,基础,推论,检验。
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英文摘要:
A variable group Y is assumed to depend upon R thematic variable groups X 1, >..., X R . We assume that components in Y depend linearly upon components in the Xr's. In this work, we propose a multiple covariance criterion which extends that of PLS regression to this multiple predictor groups situation. On this criterion, we build a PLS-type exploratory method - Structural Equation Exploratory Regression (SEER) - that allows to simultaneously perform dimension reduction in groups and investigate the linear model of the components. SEER uses the multidimensional structure of each group. An application example is given.
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PDF链接:
https://arxiv.org/pdf/802.0793


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