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Isotonic Smoothing Spline Regression
Journal of Computational and Graphical Statistics, 2008This article considers the monotone smoothing spline regression problem. We add, as the smoothness penalty term, the integral of the squared second derivative of the regression function. The objective function is minimized over the space of natural cubic splines with knots at the design points.
Xiao Wang, Feng Li
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Semiparametric additive isotonic regression
Journal of Statistical Planning and Inference, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Trimmed Mean Isotonic Regression
Scandinavian Journal of Statistics, 2015AbstractThe trimmed mean is well‐known in literature for being more robust and for having better efficiency than the sample mean when data is generated from heavy‐tailed distributions. In this article, the trimmed mean in the isotonic regression setup is proposed, and the asymptotic as well as the robustness properties of the estimator are studied. The
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