Sliced Inverse Regression (SIR): an appraisal of small sample alternatives to slicing, Computational Statistics, vol.12, pp.109-130, 1997. ,
A chi-square test for dimensionality with non-Gaussian data, Journal of Multivariate Analysis, vol.88, issue.1, pp.109-117, 2004. ,
DOI : 10.1016/S0047-259X(03)00056-3
Some extensions of multivariate sliced inverse regression, Journal of Statistical Computation and Simulation, vol.15, issue.1, pp.1-17, 2007. ,
DOI : 10.1080/10629360600687840
Estimating Optimal Transformations for Multiple Regression and Correlation, Journal of the American Statistical Association, vol.41, issue.391, pp.580-619, 1985. ,
DOI : 10.1080/01621459.1985.10478157
URL : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA123908
Dimension reduction via parametric inverse regression. L 1 -statistical procedures and related topics (Neuchel, 1997), IMS Lecture Notes Monogr. Ser, vol.31, pp.215-228, 1997. ,
DOI : 10.1214/lnms/1215454139
URL : http://projecteuclid.org/download/pdf_1/euclid.lnms/1215454139
Estimating the structural dimension of regressions via parametric inverse regression, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.63, issue.2, pp.393-410, 2001. ,
DOI : 10.1111/1467-9868.00292
Measurement Error Regression with Unknown Link: Dimension Reduction and Data Visualization, Journal of the American Statistical Association, vol.52, issue.420, pp.1040-1050, 1992. ,
DOI : 10.1093/biomet/75.3.507
Estimation of a Projection-Pursuit Type Regression Model, The Annals of Statistics, vol.19, issue.1, pp.142-157, 1991. ,
DOI : 10.1214/aos/1176347974
Can SIR be as popular as multiple linear regression?, Statistica Sinica, vol.8, pp.289-316, 1998. ,
Discussion of " Sliced inverse regression, Journal of the American Statistical Association, vol.86, pp.328-332, 1991. ,
Slicing Regression: A Link-Free Regression Method, The Annals of Statistics, vol.19, issue.2, pp.505-530, 1991. ,
DOI : 10.1214/aos/1176348109
The jackknife, the bootstrap and other resampling plans, CBMS-NSF Regional Conference Series in Applied Mathematics, 38. Society for Industrial and Applied Mathematics (SIAM), 1982. ,
DOI : 10.1137/1.9781611970319
Dimension choice for sliced inverse regression based on ranks, pp.95-108, 1997. ,
Determining the dimension in Sliced Inverse Regression and related methods, Journal of the American Statistical Association, vol.93, pp.132-140, 1998. ,
Un critere de choix de la dimension dans la méthode SIR-II, pp.33-46, 1999. ,
Multivariate Adaptive Regression Splines, The Annals of Statistics, vol.19, issue.1, pp.1-141, 1991. ,
DOI : 10.1214/aos/1176347963
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.382.970
Flexible Parsimonious Smoothing and Additive Modeling, Technometrics, vol.27, issue.1, pp.3-39, 1989. ,
DOI : 10.1214/aos/1176346710
Projection Pursuit Regression, Journal of the American Statistical Association, vol.4, issue.376, pp.817-823, 1981. ,
DOI : 10.1080/01621459.1981.10477729
Dimension reduction based on canonical correlation, Statistica Sinica, vol.12, pp.1093-1114 ,
An asymptotic theory for SIR ? method, Statistica Sinica, vol.13, pp.297-310, 2003. ,
Two Cross Validation Criteria for SIR?? and PSIR?? methods in view of prediction, Computational Statistics, vol.24, issue.3, pp.585-603, 2003. ,
DOI : 10.1007/BF03354618
On Projection Pursuit Regression, The Annals of Statistics, vol.17, issue.2, pp.573-588, 1989. ,
DOI : 10.1214/aos/1176347126
On almost linearity of low dimensional projections from high dimensional data. The Annals of Statistics, pp.867-889, 1993. ,
Generalized Additive Models, Statistical Science, vol.1, issue.3, pp.297-318, 1986. ,
DOI : 10.1214/ss/1177013604
Generalized additive models, 1990. ,
Nearest neighbor inverse regression. The Annals of Statistics, pp.697-731, 1999. ,
An asympotic theory for Sliced Inverse regression. The Annals of Statistics, pp.1040-1061, 1992. ,
An asymptotic result for Sliced Inverse Regression, Computational Statistics, vol.11, pp.113-136, 1996. ,
Sliced Inverse Regression, Smoothing and Regression. Approaches, Computation , and Application, pp.497-512, 2000. ,
Sliced Inverse Regression for Dimension Reduction, Journal of the American Statistical Association, vol.13, issue.414, pp.316-342, 1991. ,
DOI : 10.1214/aos/1176345514
On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma, Journal of the American Statistical Association, vol.13, issue.420, pp.1025-1039, 1992. ,
DOI : 10.1002/9780470316818
Dimension Reduction for Multivariate Response Data, Journal of the American Statistical Association, vol.98, issue.461, pp.99-109, 2003. ,
DOI : 10.1198/016214503388619139
An asymptotic theory for sliced inverse regression, Communications in Statistics - Theory and Methods, vol.5, issue.9, pp.2141-2171, 1997. ,
DOI : 10.1214/aos/1176345514
POOLED SLICING METHODS VERSUS SLICING METHODS, Communications in Statistics - Simulation and Computation, vol.11, issue.3, pp.489-511, 2001. ,
DOI : 10.1093/biomet/58.1.105
Asymptotics for pooled marginal slicing estimator based on <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>SIR</mml:mi></mml:mrow><mml:mrow><mml:mi>??</mml:mi></mml:mrow></mml:msub></mml:math> approach, Journal of Multivariate Analysis, vol.96, issue.1, pp.117-135, 2005. ,
DOI : 10.1016/j.jmva.2004.10.003
Determining the Dimensionality in Sliced Inverse Regression, Journal of the American Statistical Association, vol.16, issue.425, pp.141-148, 1994. ,
DOI : 10.1214/aos/1176345514
Additive Regression and Other Nonparametric Models, The Annals of Statistics, vol.13, issue.2, pp.689-705, 1985. ,
DOI : 10.1214/aos/1176349548
URL : http://projecteuclid.org/download/pdf_1/euclid.aos/1176349548
The Dimensionality Reduction Principle for Generalized Additive Models, The Annals of Statistics, vol.14, issue.2, pp.590-606, 1986. ,
DOI : 10.1214/aos/1176349940
Asymptotic distributions for dimension reduction in the SIR-II method, Statistica Sinica, vol.15, pp.1069-1079, 2005. ,
Asymptotics of sliced inverse regression, Statistica Sinica, vol.5, pp.727-736, 1995. ,
Asymptotics for kernel estimate of Sliced Inverse Regression. The Annals of Statistics, pp.1053-1068, 1996. ,