Using DAGs to identify the sufficient dimension reduction in the Principal Fitted Components model
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DOI: 10.1016/j.spl.2018.08.008
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References listed on IDEAS
- Efstathia Bura & Sabrina Duarte & Liliana Forzani, 2016. "Sufficient Reductions in Regressions With Exponential Family Inverse Predictors," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(515), pages 1313-1329, July.
- Scrucca, Luca, 2011. "Model-based SIR for dimension reduction," Computational Statistics & Data Analysis, Elsevier, vol. 55(11), pages 3010-3026, November.
- Li, Bing & Wang, Shaoli, 2007. "On Directional Regression for Dimension Reduction," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 997-1008, September.
- Cook, R. Dennis & Ni, Liqiang, 2005. "Sufficient Dimension Reduction via Inverse Regression: A Minimum Discrepancy Approach," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 410-428, June.
- Efstathia Bura & Liliana Forzani, 2015. "Sufficient Reductions in Regressions With Elliptically Contoured Inverse Predictors," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(509), pages 420-434, March.
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Cited by:
- Andrea Bergesio & María Eugenia Szretter Noste & Víctor J. Yohai, 2021. "A robust proposal of estimation for the sufficient dimension reduction problem," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(3), pages 758-783, September.
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Keywords
Sufficient dimension reduction; Directed acyclic graphs; Principal Fitted Components model; Conditional independence;All these keywords.
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