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Theory and Method

Determining the Dimension in Sliced Inverse Regression and Related Methods

Pages 132-140 | Received 01 Jun 1995, Published online: 17 Feb 2012

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Jing Zeng, Qing Mai & Xin Zhang. (2024) Subspace Estimation with Automatic Dimension and Variable Selection in Sufficient Dimension Reduction. Journal of the American Statistical Association 119:545, pages 343-355.
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Xin Chen, Jia Zhang & Wang Zhou. (2022) High-Dimensional Elliptical Sliced Inverse Regression in Non-Gaussian Distributions. Journal of Business & Economic Statistics 40:3, pages 1204-1215.
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Qin Wang & Xiangrong Yin. (2021) Aggregate Inverse Mean Estimation for Sufficient Dimension Reduction. Technometrics 63:4, pages 456-465.
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Xin Cai, Guang Lin & Jinglai Li. (2021) Bayesian inverse regression for supervised dimension reduction with small datasets. Journal of Statistical Computation and Simulation 91:14, pages 2817-2832.
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Emmanuel de Dieu Nkou & Guy Martial Nkiet. (2019) Strong consistency of kernel estimator in a semiparametric regression model. Statistics 53:6, pages 1289-1305.
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Junhua Zhang, Bingqing Lin, Yan Zhou & Jun Zhang. (2018) Dimension reduction regressions with measurement errors subject to additive distortion. Journal of Statistical Computation and Simulation 88:13, pages 2631-2649.
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Xinyi Xu, Xiangjie Li & Jingxiao Zhang. (2018) Sufficient dimension reduction and prediction through cumulative slicing PFC. Journal of Statistical Computation and Simulation 88:6, pages 1172-1190.
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Kenji Fukumizu & Chenlei Leng. (2014) Gradient-Based Kernel Dimension Reduction for Regression. Journal of the American Statistical Association 109:505, pages 359-370.
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Marie Chavent, Vanessa Kuentz, Benoıt Liquet & Jérôme Saracco. (2011) A Sliced Inverse Regression Approach for a Stratified Population. Communications in Statistics - Theory and Methods 40:21, pages 3857-3878.
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Li-Ping Zhu, Ya-Ni Yang & Li-Xing Zhu. (2011) Dimension Reduction in Regressions through Weighted Variance Estimation. Communications in Statistics - Theory and Methods 40:11, pages 1929-1944.
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Li-Ping Zhu. (2010) Extending the Scope of Inverse Regression Methods in Sufficient Dimension Reduction. Communications in Statistics - Theory and Methods 40:1, pages 84-95.
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Vanessa Kuentz, Benoît Liquet & Jérôme Saracco. (2010) Bagging Versions of Sliced Inverse Regression. Communications in Statistics - Theory and Methods 39:11, pages 1985-1996.
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Li-Ping Zhu & Li-Xing Zhu. (2009) A data-adaptive hybrid method for dimension reduction. Journal of Nonparametric Statistics 21:7, pages 851-861.
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Benoît Liquet & Jérôme Saracco. (2008) Application of the Bootstrap Approach to the Choice of Dimension and the α Parameter in the SIRα Method. Communications in Statistics - Simulation and Computation 37:6, pages 1198-1218.
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Laure Barreda, Ali Gannoun & Jérôme Saracco. (2007) Some extensions of multivariate sliced inverse regression. Journal of Statistical Computation and Simulation 77:1, pages 1-17.
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L. Ferré & A. F. Yao. (2003) Functional sliced inverse regression analysis . Statistics 37:6, pages 475-488.
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Ursula Gather, Torsten Hilker & Claudia Becker. (2002) A note On outlier sensitivity of Sliced Inverse Regression. Statistics 36:4, pages 271-281.
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Articles from other publishers (2)

Min Cai, Ruige Zhuang, Zhou Yu & Ping Wu. (2022) Model averaging‐based sufficient dimension reduction. Stat 11:1.
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Victor Picheny, Rémi Servien & Nathalie Villa-Vialaneix. (2018) Interpretable sparse SIR for functional data. Statistics and Computing 29:2, pages 255-267.
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