close
1989
Li, K. C. and Duan, N. (1989). Regression analysis under link violation. Ann. Statist. 17, 1009-1052.
Li, K. C. and Ylvisaker, D. (1989). Another look at adaptation on the average. Statistics and Probability Letters 7, 381-383.
1991
Li, K. C. ( 1991) . Sliced inverse regression for dimension reduction with discussion. Journal of the American Statistical Association 86, 316- 342. [Comment1] [Comment2] [Rejoinder]
Duan, N. and Li, K. C. ( 1991) . Slicing regression: a link free regression method. Ann. Statist 19, 505- 530.
Duan, N. and Li, K. C. (1991). A bias bound for applying linear regression to a general linear model. Statistica Sinica 1, 127-136.
Cook, R. D. and Weisberg, S. (1991). Comment on ``sliced inverse regression for dimension reduction'', Journal of the American Statistical Association 86(414): 328-332.
1992
Li, K. C. (1992). Uncertainty analysis for mathematical models with SIR. In "Probability and Statistics", 138-162. World Scientific Press, Singapore.
Li, K. C. (1992). On principal Hessian directions for data visualization and dimension reduction: another application of Stein’s lemma,” Journal of the American Statistical Association 87, 1025-1039.
Carroll, R. J. and Li, K. C. ( 1992) . Measurement error regression with unknown link: dimension reduction and data visualization. Journal of the American Statistical Association 87, 1040- 1050.
Hsing, T and Carroll, R. J. (1992). An asymptotic theory for sliced inverse regression, The Annals of Statistics 20 (2), 1040-1061.
1993
Hall, P. and Li, K. C. (1993). On almost linearity of low dimensional projection from high dimensional data. Ann. Stat. 21, 867-889.
1994
Cook, R.D. and Nachtsheim, C.J, (1994). Reweighing to achieve elliptically contoured covariates in regression. Journal of the American Statistical Association 89, 592-599.
Schott, J. R. (1994). Determining the dimensionality in sliced inverse regression. Journal of the American Statistical Association 89(425), 141-148.
1995
Cheng, C. S. and Li, K. C. (1995) A study of the method of principal Hessian direction for analysis of data from designed experiments, Statistica Sinica 5, 617-640.
Carroll, R. and Li, K. C.(1995). Binary regressors in dimension reduction models: a new look at treatment comparisons. Statistica Sinica 5, 667-688.
Li, K. C., Aragon, Y, and Thomos-Agan, C. (1995). Analysis of multivariate outcome data: SIR and a nonlinear theory of Hotelling's most predictable variates. Preprint..
Zhu, L. X., Ng, K. W. (1995). Asymptotics of sliced inverse regression, Stat. Sinica 5 (2), 727-736.
1996
Horng, M. J., Li, K. C. , and Yeh, W. W. (1996). Uncertainty analysis of groundwater modeling via statistical dimension reduction. Manuscript.
Aragon, Y., Barthe, P., Cassadou, C., Thomas-Agnan, C. (1996). Analysing ambulatory blood pressure monitoring data with multivariate sliced inverse regression, technical report. n96-08-411.
Recherche en Economie Mathematique et Quantitative, UA CNRS n_ 947, Place Anatole France 31042 Toulouse Cedex, France.
Aragon, Y., Li, K. C., and Thomas-Agnan C. (1996). A dimension reduction approach to the study of city family income distributions via sliced inverse regression, tech. report G.R.E.M.A.Q. 96.35.438.
Zhu, L. X. and Fang, K. T. (1996). Asymptotics for kernel estimate of sliced inverse regression, Ann. Statist. 24, 1053-1068.
1997
Aragon, Y. (1997). A Gauss implementation of multivariate Sliced Inverse Regression, Computational Statistics 12, 355-372.
Aragon, Y. and Sarraco, J. (1997). SIR: an appraisal of small sample alternatives to slicing, Computational Statistics 12, 109-130.
Li, K. C. (1997). Nonlinear confounding in high dimensional regression. Ann. Statist. 25, 577-612.
Li, K. C. (1997). Sliced inverse regression" . In Encyclopedia of Statistical Sciences. Update vol 1. 497-499. John Wiley, New York.
1998
Chen, C. H., and Li, K. C. (1998). Can SIR be as popular as multiple linear regression? Statistica Sinica 8, 289-316.
Cook, R. D. (1998). Principal Hessian Directions Revisited. Journal of the American Statistical Association, 93, 84-100.
Ferre, L. (1998). Determining the dimension in sliced Inverse regression and related methods, Journal of the American Statistical Association 93(441) 132 -140.
Li, K. C. ( 1989) . Data visualization with SIR: a transformation based projection pursuit method. UCLA Statist. Ser. 24.
1999
Cook, R. D. and Lee, H. (1999). Dimension Reduction in Binary Response Regression, Journal of the American Statistical Association, 94(448), 1187-1200.
Hsing, T. (1999). Nearest neighbor inverse regression, Ann. Statist. 27(2), 697-731.
Li, K. C. , Wang, J. L. and Chen, C. H. (1999). Dimension reduction for censored regression data, Ann. Statist. 27(1), 1-23.
2000
Cook, R. D. (2000). SAVE: A method for dimension reduction and graphics in regression, Communications in Statistics: Theory and Methods 29, 2109-2121.
Critchley, F. and Cook, R. D. (2000). Identifying regression outliers and mixtures graphically, J. American Statistical Association 95, 781-794.
Li, K. C. (2000). High dimensional data analysis via the SIR/PHD approach. lecture notes.
Naik, P. A., Hagerty, M. R. and Tsai, C. L. (2000). A new dimension reduction approach for data-rich marketing environments: sliced inverse regression, Journal of Marketing Research 37 (1), 88 -101.
Li, K. C., Lue, H. H., and Chen, C. H. (2000), Interactive tree-structured regression via principal Hessian directions. Journal of the American Statistical Association 95, 547-560.
2001
Becker, C., Fried, R. (?). Sliced inverse regression for high-dimensional time series. Preprint.
Becker, C., Fried, R. and Gather, U. (2001). Applying sliced inverse regression to dynamical data. Preprint, Department of Statistics, University of Dortmund, Germany.
Bura, E. and Cook, R. D. (2001). Extending SIR: the weighted chi-square test, Journal of the American Statistical Association, 96, 996-1003. [pdf]
Bura, E. and Cook, R.D. (2001). Estimating the structural dimension of regressions via parametric inverse regression. Journal of the Royal Statistical Society, Ser B, 63, 393-410.
Chen, C. H., and Li, K. C. (2001), Generalization of Fisher's Linear Discriminant Analysis via the Approach of Sliced Inverse Regression, Journal of the Koean Statistical Society 30, 193-217.
Cook, R. D. and Yin, X. (2001). Dimension-reduction and visualization in discriminant analysis., Australia and New Zealand Journal of Statistics 43, 147-200.
Gather, U., Hilker, T., and Becker C. (2001). A robustified version of sliced inverse regression. In: L.T. Fernholz et al., editors, Statistics in Genetics and in the Environmental Sciences, pp. 147-157, Birkhauser: Basel.
2002
Chiaromonte, F., Cook, R. D., and Li, B. (2002). Sufficient dimensions reduction in regressions with categorical predictors, Ann. Statist. 30(2), 475-497
Cook, R. D. and Li, B. (2002). Dimension reduction for conditional mean in regression, Ann. Statist. 30 (2), 455-474.
Gannoun, A., Girard, S., Guinot, C. and Saracco, J. (2002). Dimension-reduction in reference curves estimation, Rapport de Recherche ENSAM-INRA-Université Montpellier II No 02-02.
Gather, U., Hilker, T., and Becker C. (2002). A note on outlier sensitivity of sliced inverse regression. Volume 36, No. 4, pp. 271-281(11);
Yin, X. and Cook, R. D. (2002) Dimension reduction for the conditional kth moment in regression, Journal of the Royal Statistical Society: Series B 64(2), 159-175.
Xia, Y., Tong, H., Li, W. K. and Zhu, L. X. (2002). An adaptive estimation of dimension reduction space. Journal of the Royal Statistical Society, Ser. B 64, 1-28.
2003
Ferre, L., Dimension choice for sliced inverse regression based on ranks.
Ferre, L., Yao, A. F. (2003). Functional sliced inverse regression analysis, Statistics 37(6), 475-488.
Gannoun, A. and Saracco, J., (2003). An asymptotic theory for SIR method, Statistica Sinica 13(2003), 297-310.
Gannoun, A., Girard S., Guinot C., Saracco, J. (2003). Sliced inverse regression in reference curves estimation. A paraître dans Computational Statistics and Data Analysis.
Gannoun, A., Guinot, C., and Saracco, J. (2003). Reference curves estimation via alternating sliced inverse regression. A paraître dans Environmetrics.
He, P., Fang, K. T., and Xu, C. J. (2003). Classification tree combined with SIR and its applications to classification of mass spectra, Journal of Data Science 1, 425-445.
Li, B., Cook, R. D. and Chiaromonte, F. (2003). Dimension reduction for the conditional mean in regressions with categorical predictors. Annals of Statistics 31, to appear.
Yin, X. and Cook, R. D. (2003). Estimating central subspaces via inverse third moments, Biometrika 90(1), 113-125.
Liquet, B., Sarrcco, J. (2003). Pooled marginal slicing approach SIR (with discrete covariables). Soumis à Computational Statistics.
Ye Z.; Weiss R.E. (2003). Using the Bootstrap to Select One of a New Class of Dimension Reduction Methods, Journal of the American Statistical Association 98(464), 968-979.
E. Bura; R.M. Pfeiffer, (2003), Graphical methods for class prediction using dimension reduction techniques on DNA microarray data, Bioinformatics 19(10), 1252-1258.
2004
Cook, R. D. (2004). Testing predictor contributions in sufficient dimension reduction, Ann. Statist. 32(3), .
Wu, H. M., and Lu, H. H.-S. (2004), Supervised motion segmentation by spatial-frequential analysis and dynamic sliced inverse regression, Statistica Sinica 14(2),.
Tian M.; Li G., (2004) Quasi-residuals method in sliced inverse regression, Statistics and Probability Letters 66(2), 205-212.
2005
Cook, R.D. and Liqiang Ni (2005), Sufficient Dimension Reduction via Inverse Regression: A Minimum Discrepancy Approach, JASA
Zhong, Wenxuan; Zeng, Peng; Zhu, Yu, (2005), RSIR: regularized sliced inverse regression for motif discovery, Bioinformatics 21 (22), 4169-4175.
Prendergast, L. A. (2005), Influence Functions for Sliced Inverse Regression, Scandinavian Journal of Statistics 32(3), 385-404(20)
2006
Ni, Liqiang and Dennis Cook, R. (2006), Sufficient dimension reduction in regressions across heterogeneous subpopulations. Journal of the Royal Statistical Society Series B 68 (1), 89-107.
Li, K. C. and Duan, N. (1989). Regression analysis under link violation. Ann. Statist. 17, 1009-1052.
Li, K. C. and Ylvisaker, D. (1989). Another look at adaptation on the average. Statistics and Probability Letters 7, 381-383.
1991
Li, K. C. ( 1991) . Sliced inverse regression for dimension reduction with discussion. Journal of the American Statistical Association 86, 316- 342. [Comment1] [Comment2] [Rejoinder]
Duan, N. and Li, K. C. ( 1991) . Slicing regression: a link free regression method. Ann. Statist 19, 505- 530.
Duan, N. and Li, K. C. (1991). A bias bound for applying linear regression to a general linear model. Statistica Sinica 1, 127-136.
Cook, R. D. and Weisberg, S. (1991). Comment on ``sliced inverse regression for dimension reduction'', Journal of the American Statistical Association 86(414): 328-332.
1992
Li, K. C. (1992). Uncertainty analysis for mathematical models with SIR. In "Probability and Statistics", 138-162. World Scientific Press, Singapore.
Li, K. C. (1992). On principal Hessian directions for data visualization and dimension reduction: another application of Stein’s lemma,” Journal of the American Statistical Association 87, 1025-1039.
Carroll, R. J. and Li, K. C. ( 1992) . Measurement error regression with unknown link: dimension reduction and data visualization. Journal of the American Statistical Association 87, 1040- 1050.
Hsing, T and Carroll, R. J. (1992). An asymptotic theory for sliced inverse regression, The Annals of Statistics 20 (2), 1040-1061.
1993
Hall, P. and Li, K. C. (1993). On almost linearity of low dimensional projection from high dimensional data. Ann. Stat. 21, 867-889.
1994
Cook, R.D. and Nachtsheim, C.J, (1994). Reweighing to achieve elliptically contoured covariates in regression. Journal of the American Statistical Association 89, 592-599.
Schott, J. R. (1994). Determining the dimensionality in sliced inverse regression. Journal of the American Statistical Association 89(425), 141-148.
1995
Cheng, C. S. and Li, K. C. (1995) A study of the method of principal Hessian direction for analysis of data from designed experiments, Statistica Sinica 5, 617-640.
Carroll, R. and Li, K. C.(1995). Binary regressors in dimension reduction models: a new look at treatment comparisons. Statistica Sinica 5, 667-688.
Li, K. C., Aragon, Y, and Thomos-Agan, C. (1995). Analysis of multivariate outcome data: SIR and a nonlinear theory of Hotelling's most predictable variates. Preprint..
Zhu, L. X., Ng, K. W. (1995). Asymptotics of sliced inverse regression, Stat. Sinica 5 (2), 727-736.
1996
Horng, M. J., Li, K. C. , and Yeh, W. W. (1996). Uncertainty analysis of groundwater modeling via statistical dimension reduction. Manuscript.
Aragon, Y., Barthe, P., Cassadou, C., Thomas-Agnan, C. (1996). Analysing ambulatory blood pressure monitoring data with multivariate sliced inverse regression, technical report. n96-08-411.
Recherche en Economie Mathematique et Quantitative, UA CNRS n_ 947, Place Anatole France 31042 Toulouse Cedex, France.
Aragon, Y., Li, K. C., and Thomas-Agnan C. (1996). A dimension reduction approach to the study of city family income distributions via sliced inverse regression, tech. report G.R.E.M.A.Q. 96.35.438.
Zhu, L. X. and Fang, K. T. (1996). Asymptotics for kernel estimate of sliced inverse regression, Ann. Statist. 24, 1053-1068.
1997
Aragon, Y. (1997). A Gauss implementation of multivariate Sliced Inverse Regression, Computational Statistics 12, 355-372.
Aragon, Y. and Sarraco, J. (1997). SIR: an appraisal of small sample alternatives to slicing, Computational Statistics 12, 109-130.
Li, K. C. (1997). Nonlinear confounding in high dimensional regression. Ann. Statist. 25, 577-612.
Li, K. C. (1997). Sliced inverse regression" . In Encyclopedia of Statistical Sciences. Update vol 1. 497-499. John Wiley, New York.
1998
Chen, C. H., and Li, K. C. (1998). Can SIR be as popular as multiple linear regression? Statistica Sinica 8, 289-316.
Cook, R. D. (1998). Principal Hessian Directions Revisited. Journal of the American Statistical Association, 93, 84-100.
Ferre, L. (1998). Determining the dimension in sliced Inverse regression and related methods, Journal of the American Statistical Association 93(441) 132 -140.
Li, K. C. ( 1989) . Data visualization with SIR: a transformation based projection pursuit method. UCLA Statist. Ser. 24.
1999
Cook, R. D. and Lee, H. (1999). Dimension Reduction in Binary Response Regression, Journal of the American Statistical Association, 94(448), 1187-1200.
Hsing, T. (1999). Nearest neighbor inverse regression, Ann. Statist. 27(2), 697-731.
Li, K. C. , Wang, J. L. and Chen, C. H. (1999). Dimension reduction for censored regression data, Ann. Statist. 27(1), 1-23.
2000
Cook, R. D. (2000). SAVE: A method for dimension reduction and graphics in regression, Communications in Statistics: Theory and Methods 29, 2109-2121.
Critchley, F. and Cook, R. D. (2000). Identifying regression outliers and mixtures graphically, J. American Statistical Association 95, 781-794.
Li, K. C. (2000). High dimensional data analysis via the SIR/PHD approach. lecture notes.
Naik, P. A., Hagerty, M. R. and Tsai, C. L. (2000). A new dimension reduction approach for data-rich marketing environments: sliced inverse regression, Journal of Marketing Research 37 (1), 88 -101.
Li, K. C., Lue, H. H., and Chen, C. H. (2000), Interactive tree-structured regression via principal Hessian directions. Journal of the American Statistical Association 95, 547-560.
2001
Becker, C., Fried, R. (?). Sliced inverse regression for high-dimensional time series. Preprint.
Becker, C., Fried, R. and Gather, U. (2001). Applying sliced inverse regression to dynamical data. Preprint, Department of Statistics, University of Dortmund, Germany.
Bura, E. and Cook, R. D. (2001). Extending SIR: the weighted chi-square test, Journal of the American Statistical Association, 96, 996-1003. [pdf]
Bura, E. and Cook, R.D. (2001). Estimating the structural dimension of regressions via parametric inverse regression. Journal of the Royal Statistical Society, Ser B, 63, 393-410.
Chen, C. H., and Li, K. C. (2001), Generalization of Fisher's Linear Discriminant Analysis via the Approach of Sliced Inverse Regression, Journal of the Koean Statistical Society 30, 193-217.
Cook, R. D. and Yin, X. (2001). Dimension-reduction and visualization in discriminant analysis., Australia and New Zealand Journal of Statistics 43, 147-200.
Gather, U., Hilker, T., and Becker C. (2001). A robustified version of sliced inverse regression. In: L.T. Fernholz et al., editors, Statistics in Genetics and in the Environmental Sciences, pp. 147-157, Birkhauser: Basel.
2002
Chiaromonte, F., Cook, R. D., and Li, B. (2002). Sufficient dimensions reduction in regressions with categorical predictors, Ann. Statist. 30(2), 475-497
Cook, R. D. and Li, B. (2002). Dimension reduction for conditional mean in regression, Ann. Statist. 30 (2), 455-474.
Gannoun, A., Girard, S., Guinot, C. and Saracco, J. (2002). Dimension-reduction in reference curves estimation, Rapport de Recherche ENSAM-INRA-Université Montpellier II No 02-02.
Gather, U., Hilker, T., and Becker C. (2002). A note on outlier sensitivity of sliced inverse regression. Volume 36, No. 4, pp. 271-281(11);
Yin, X. and Cook, R. D. (2002) Dimension reduction for the conditional kth moment in regression, Journal of the Royal Statistical Society: Series B 64(2), 159-175.
Xia, Y., Tong, H., Li, W. K. and Zhu, L. X. (2002). An adaptive estimation of dimension reduction space. Journal of the Royal Statistical Society, Ser. B 64, 1-28.
2003
Ferre, L., Dimension choice for sliced inverse regression based on ranks.
Ferre, L., Yao, A. F. (2003). Functional sliced inverse regression analysis, Statistics 37(6), 475-488.
Gannoun, A. and Saracco, J., (2003). An asymptotic theory for SIR method, Statistica Sinica 13(2003), 297-310.
Gannoun, A., Girard S., Guinot C., Saracco, J. (2003). Sliced inverse regression in reference curves estimation. A paraître dans Computational Statistics and Data Analysis.
Gannoun, A., Guinot, C., and Saracco, J. (2003). Reference curves estimation via alternating sliced inverse regression. A paraître dans Environmetrics.
He, P., Fang, K. T., and Xu, C. J. (2003). Classification tree combined with SIR and its applications to classification of mass spectra, Journal of Data Science 1, 425-445.
Li, B., Cook, R. D. and Chiaromonte, F. (2003). Dimension reduction for the conditional mean in regressions with categorical predictors. Annals of Statistics 31, to appear.
Yin, X. and Cook, R. D. (2003). Estimating central subspaces via inverse third moments, Biometrika 90(1), 113-125.
Liquet, B., Sarrcco, J. (2003). Pooled marginal slicing approach SIR (with discrete covariables). Soumis à Computational Statistics.
Ye Z.; Weiss R.E. (2003). Using the Bootstrap to Select One of a New Class of Dimension Reduction Methods, Journal of the American Statistical Association 98(464), 968-979.
E. Bura; R.M. Pfeiffer, (2003), Graphical methods for class prediction using dimension reduction techniques on DNA microarray data, Bioinformatics 19(10), 1252-1258.
2004
Cook, R. D. (2004). Testing predictor contributions in sufficient dimension reduction, Ann. Statist. 32(3), .
Wu, H. M., and Lu, H. H.-S. (2004), Supervised motion segmentation by spatial-frequential analysis and dynamic sliced inverse regression, Statistica Sinica 14(2),.
Tian M.; Li G., (2004) Quasi-residuals method in sliced inverse regression, Statistics and Probability Letters 66(2), 205-212.
2005
Cook, R.D. and Liqiang Ni (2005), Sufficient Dimension Reduction via Inverse Regression: A Minimum Discrepancy Approach, JASA
Zhong, Wenxuan; Zeng, Peng; Zhu, Yu, (2005), RSIR: regularized sliced inverse regression for motif discovery, Bioinformatics 21 (22), 4169-4175.
Prendergast, L. A. (2005), Influence Functions for Sliced Inverse Regression, Scandinavian Journal of Statistics 32(3), 385-404(20)
2006
Ni, Liqiang and Dennis Cook, R. (2006), Sufficient dimension reduction in regressions across heterogeneous subpopulations. Journal of the Royal Statistical Society Series B 68 (1), 89-107.
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