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Determining the dimension of the central subspace and central mean subspace
The central subspace and central mean subspace are two important targets of sufficient dimension reduction. We propose a weighted chi-squared test to determine their dimensions based on matrices whose column spaces are exactly equal to the central subspace or the central mean subspace.
Peng Zeng
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Fused clustering mean estimation of central subspace
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Um, Hye Yeon, Yoo, Jae Keun
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Feature filter for estimating central mean subspace and its sparse solution
Computational Statistics & Data Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pei Wang +3 more
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Central Mean Subspace in Time Series
Journal of Computational and Graphical Statistics, 2009We propose a notion of central mean dimension reduction subspace for time series {xt} which does not require specification of a model but seeks to find a p×d matrix Φd, d≤p, so that the d×1 vector ΦdTXt−1, where Xt−1=(xt−1, …, xt−p)T for some p≥1, includes all the information about xt that is available from E(xt|Xt−1).
Jin-Hong Park +2 more
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Estimation and inference on central mean subspace for multivariate response data
Computational Statistics & Data Analysis, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liping Zhu, Wei Zhong
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Dimension reduction estimation for central mean subspace with missing multivariate response
Journal of Multivariate Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guoliang Fan 0002 +2 more
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Journal of Multivariate Analysis, 2021
This paper proposes a weighted version of the Minimum Average Variance Estimation (MAVE) method to estimate the Central Mean Subspace with multivariate response. The algorithm to implement the weighted MAVE method is provided. Asymptotic distribution of the MAVE estimator under the multivariate response setting is also derived.
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This paper proposes a weighted version of the Minimum Average Variance Estimation (MAVE) method to estimate the Central Mean Subspace with multivariate response. The algorithm to implement the weighted MAVE method is provided. Asymptotic distribution of the MAVE estimator under the multivariate response setting is also derived.
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A martingale-difference-divergence-based estimation of central mean subspace
Statistics and Its Interface, 2019Yu Zhang +3 more
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Sufficient Dimension Folding for Regression Mean Function
In this article, we consider sufficient dimension folding for the regression mean function when predictors are matrix- or array-valued. We propose a new concept named central mean dimension folding subspace and its two local estimation methods: folded ...
Xiangrong Yin
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