References
- Balabdaoui, F., Durot, C., and Jankowski, H. (2019), ‘Least Squares Estimation in the Monotone Single Index Model’, Bernoulli, 25(4B), 3276–3310. doi: 10.3150/18-BEJ1090
- Balabdaoui, F., Groeneboom, P., and Hendrickx, K. (2019), ‘Score Estimation in the Monotone Single-index Model’, Scandinavian Journal of Statistics, 46(2), 517–544. doi: 10.1111/sjos.12361
- Carroll, R.J., Fan, J., Gijbels, I., and Wand, M.P. (1997), ‘Generalized Partially Linear Single-index Models’, Journal of the American Statistical Association, 92, 477–489. doi: 10.1080/01621459.1997.10474001
- Cheng, G. (2009), ‘Semiparametric Additive Isotonic Regression’, Journal of Statistical Planning and Inference, 139, 1980–1991. doi: 10.1016/j.jspi.2008.09.009
- Groeneboom, P., and Jongbloed, G. (2014), Nonparametric Estimation Under Shape Constraints, New York, NY: Cambridge University Press.
- Groeneboom, P., and Hendrickx, K. (2017), ‘The Nonparametric Bootstrap for the Current Status Model’, Electronic Journal of Statistics, 11, 3446–3484. doi: 10.1214/17-EJS1345
- Groeneboom, P., and Hendrickx, K. (2018), ‘Current Status Linear Regression’, Annals of Statistics, 46, 1415–1444. doi: 10.1214/17-AOS1589
- Groeneboom, P. (2018), The Lagrange approach in the monotone single index model. arXiv preprint arXiv:1812.01380.
- Huang, J. (2002), ‘A Note on Estimating a Partly Linear Model Under Monotonicity Constraints’, Journal of Statistical Planning and Inference, 107, 343–351. doi: 10.1016/S0378-3758(02)00262-8
- Ma, Y., and Zhu, L. (2013), ‘Doubly Robust and Efficient Estimators for Heteroscedastic Partially Linear Single-index Models Allowing High Dimensional Covariates’, Journal of the Royal Statistical Society, B75, 305–322. doi: 10.1111/j.1467-9868.2012.01040.x
- van der Vaart, A.W. (2000), Asymptotic Statistics, Cambridge: Cambridge University Press.
- van der Vaart, A.W., and Wellner, J.A. (1996), Weak Convergence and Empirical Processes, New York, NY: Springer.
- Wang, J.-L., Xue, L., Zhu, L., and Chong, Y.S. (2010), ‘Estimation for a Partial-linear Single-index Model’, Annals of Statistics, 38, 246–274. doi: 10.1214/09-AOS712
- Xia, Y., and Härdle, W. (2006), ‘Semi-parametric Estimation of Partially Linear Single-index Models’, Journal of Multivariate Analysis, 97, 1162–1184. doi: 10.1016/j.jmva.2005.11.005
- Xia, Y., H., Tong, and Li, W. (1999), ‘On Extended Partially Linear Single-index Models’, Biometrika, 86, 831–842. doi: 10.1093/biomet/86.4.831
- Yu, K. (2014), ‘On Partial Linear Additive Isotonic Regression’, Journal of the Korean Statistical Society, 43, 11–17. doi: 10.1016/j.jkss.2013.07.003
- Yu, Y., and Ruppert, D. (2002), ‘Penalized Spline Estimation for Partially Linear Single-index Models’, Journal of the American Statistical Association, 97, 1042–1054. doi: 10.1198/016214502388618861