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We consider estimation and inference in a single index regression model with an unknown convex link function.
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Van de Geer, S. A. (2000) · 2000
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Hristache, M., A. Juditsky, and V. Spokoiny (2001) · 2001
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Nonparametric option pricing under shape restrictions
Aït-Sahalia, Y. and J. Duarte (2003) · 2003
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On convergence rates of convex regression in multiple dimensions
Lim, E. (2014) · 2014
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Semiparametric models with single-index nuisance parameters
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Talagrand, M. (2014) · 2014
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Dirksen, S. (2015) · 2015
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Learning single index models in high dimensions
Ganti, R., N. Rao, R. M. Willett, and R. Nowak (2015) · 2015
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Oracally efficient estimation for single-index link function with simultaneous confidence band
Gu, L. and L. Yang (2015) · 2015
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Global risk bounds and adaptation in univariate convex regression
Guntuboyina, A. and B. Sen (2015) · 2015
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Spline estimation and variable selection for single-index prediction models with diverging number of index parameters
Wang, G. and L. Wang (2015) · 2015
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Generalized additive and index models with shape constraints
Chen, Y. and R. J. Samworth (2016) · 2016
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Mathematical foundations of infinite-dimensional statistical models
Giné, E. and R. Nickl (2016) · 2016
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A new minimum contrast approach for inference in single-index models
Li, W. and V. Patilea (2017) · 2017
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Current status linear regression
Groeneboom, P. and K. Hendrickx (2018) · 2018
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Nonparametric shape-restricted regression
Guntuboyina, A. and B. Sen (2018) · 2018
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Robustness of shape-restricted regression estimators: an envelope perspective
Han, Q. and J. A. Wellner (2018) · 2018
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Kuchibhotla, A. K. and A. Chakrabortty (2018) · 2018
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Least squares estimation in the monotone single index model
Balabdaoui, F., C. Durot, and H. Jankowski (2019) · 2019
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Score estimation in the monotone single-index model
Balabdaoui, F., P. Groeneboom, and K. Hendrickx (2019) · 2019
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On least squares estimation under heteroscedastic and heavy-tailed errors
Kuchibhotla, A. K. and R. K. Patra (2019) · 2019
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A computational framework for multivariate convex regression and its variants
Mazumder, R., A. Choudhury, G. Iyengar, and B. Sen (2019) · 2019
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High-dimensional statistics: A non-asymptotic viewpoint
Wainwright, M. J. (2019) · 2019
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