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Penalized spline smoothing in multivariable survival models with varying coefficients
Kauermann G. Penalized spline smoothing in multivariable survival models with varying coefficients. COMPUTATIONAL STATISTICS & DATA ANALYSIS. 2005;49(1):169-186.Penalized spline (P-spline) smoothing is discussed for hazard regression of multivariable
Göran Kauermann
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Bivariate Penalized Splines for Regression
Statistica Sinica, 2013In this paper the asymptotic behavior of penalized spline estimators is studied using bivariate splines over triangulations and an energy functional as the penalty. The rate of L2 convergence is derived, which achieves the optimal nonparametric convergence rate established by Stone (1982).
Ming-Jun Lai, Li Wang
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Penalized I-spline monotone regression estimation
Communications in Statistics - Simulation and Computation, 2019We propose a penalized regression spline estimator for monotone regression. To construct the estimator, we adopt the I-splines with the total variation penalty.
Junsouk Choi +3 more
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Semiparametric regression with shape-constrained penalized splines
Computational Statistics & Data Analysis, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin L. Hazelton, Berwin A. Turlach
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Spatially Adaptive Bayesian Penalized Regression Splines (P-splines)
Journal of Computational and Graphical Statistics, 2005In this article we study penalized regression splines (P-splines), which are low-order basis splines with a penalty to avoid undersmoothing. Such P-splines are typically not spatially adaptive, and hence can have trouble when functions are varying rapidly.
Veerabhadran Baladandayuthapani +2 more
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Hazard Regression for Interval‐Censored Data with Penalized Spline
Biometrics, 2003Summary. This article introduces a new approach for estimating the hazard function for possibly interval‐ and right‐censored survival data. We weakly parameterize the log‐hazard function with a piecewise‐linear spline and provide a smoothed estimate of the hazard function by maximizing the penalized likelihood through a mixed model–based approach.
Cai, Tianxi, Betensky, Rebecca A.
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Penalized Splines and Reproducing Kernel Methods
The American Statistician, 2006Two data analytic research areas—penalized splines and reproducing kernel methods—have become very vibrant since the mid-1990s. This article shows how the former can be embedded in the latter via theory for reproducing kernel Hilbert spaces. This connection facilitates cross-fertilization between the two bodies of research.
Pearce, N.D., Wand, M.P.
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Asymptotics for penalized spline estimators in quantile regression
Communications in Statistics - Theory and Methods, 2023Takuma Yoshida
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