Nonparametric, Tuning-Free Estimation of an S-Shaped Function

Estimation of an S-shaped function and its corresponding inflection point via a least squares approach. A sequential mixed primal-dual bases algorithm is implemented for the fast computation of the estimator. The same algorithm can also be used to solve other shape-restricted regression problems, such as convex regression. For more details, see the PhD thesis of Feng (2021) <>.


Reference manual

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0.99 by Yining Chen, 2 months ago

Browse source code at

Authors: Oliver Y. Feng [aut] , Yining Chen [aut, cre] , Qiyang Han [aut] , Raymond J. Carroll [aut] , Richard J. Samworth [aut]

Documentation:   PDF Manual  

GPL-2 license

Imports Rcpp

Linking to Rcpp, RcppArmadillo

See at CRAN