R package scar: Shape-Constrained Additive Regression: a Maximum Likelihood Approach. This package computes the maximum likelihood estimator of the generalised additive and index regression with shape constraints. Each additive component function is assumed to obey one of the nine possible shape restrictions: linear, increasing, decreasing, convex, convex increasing, convex decreasing, concave, concave increasing, or concave decreasing.

References in zbMATH (referenced in 20 articles , 1 standard article )

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  1. Conde, David; Fernández, Miguel A.; Rueda, Cristina; Salvador, Bonifacio: Isotonic boosting classification rules (2021)
  2. Deng, Hang; Han, Qiyang; Zhang, Cun-Hui: Confidence intervals for multiple isotonic regression and other monotone models (2021)
  3. Feng, Oliver Y.; Guntuboyina, Adityanand; Kim, Arlene K. H.; Samworth, Richard J.: Adaptation in multivariate log-concave density estimation (2021)
  4. Qin, Jing; Deng, Geng; Ning, Jing; Yuan, Ao; Shen, Yu: Estrogen receptor expression on breast cancer patients’ survival under shape-restricted Cox regression model (2021)
  5. Javanmard, Adel; Mondelli, Marco; Montanari, Andrea: Analysis of a two-layer neural network via displacement convexity (2020)
  6. Lim, Eunji: The limiting behavior of isotonic and convex regression estimators when the model is misspecified (2020)
  7. Balabdaoui, Fadoua; Durot, Cécile; Jankowski, Hanna: Least squares estimation in the monotone single index model (2019)
  8. Doss, Charles R.; Wellner, Jon A.: Inference for the mode of a log-concave density (2019)
  9. Engebretsen, Solveig; Glad, Ingrid K.: Additive monotone regression in high and lower dimensions (2019)
  10. Han, Qiyang; Wang, Tengyao; Chatterjee, Sabyasachi; Samworth, Richard J.: Isotonic regression in general dimensions (2019)
  11. Na, Sen; Yang, Zhuoran; Wang, Zhaoran; Kolar, Mladen: High-dimensional varying index coefficient models via Stein’s identity (2019)
  12. Neykov, Matey: Isotonic regression meets Lasso (2019)
  13. Guntuboyina, Adityanand; Sen, Bodhisattva: Nonparametric shape-restricted regression (2018)
  14. Johnson, Andrew L.; Jiang, Daniel R.: Shape constraints in economics and operations research (2018)
  15. Kim, Arlene K. H.; Guntuboyina, Adityanand; Samworth, Richard J.: Adaptation in log-concave density estimation (2018)
  16. Meyer, Mary C.: A framework for estimation and inference in generalized additive models with shape and order restrictions (2018)
  17. Samworth, Richard J.: Recent progress in log-concave density estimation (2018)
  18. Samworth, Richard J. (ed.); Sen, Bodhisattva (ed.): Editorial: Special issue on “Nonparametric inference under shape constraints” (2018)
  19. Chen, Yining; Samworth, Richard J.: Generalized additive and index models with shape constraints (2016)
  20. Chen, Yining; Wellner, Jon A.: On convex least squares estimation when the truth is linear (2016)