Skip to main content
Unpublished Paper
FAST ADAPTIVE PENALIZED SPLINES
Johns Hopkins University, Dept. of Biostatistics Working Papers
  • Tatyana Krivobokova, Department of Economics, University of Bielefeld, Bielefeld, Germany
  • Ciprian M. Crainiceanu, Johns Hokins Bloomberg School of Public Health, Department of Biostatistics
  • Goran Kauermann, Department of Economics, University of Bielefeld, Bielefeld, Germany
Date of this Version
3-29-2007
Abstract

This paper proposes a numerically simple routine for locally adaptive smoothing. The locally heterogeneous regression function is modelled as a penalized spline with a smoothly varying smoothing parameter modelled as another penalized spline. This is being formulated as hierarchical mixed model, with spline coe±cients following a normal distribution, which by itself has a smooth structure over the variances. The modelling exercise is in line with Baladandayuthapani, Mallick & Carroll (2005) or Crainiceanu, Ruppert & Carroll (2006). But in contrast to these papers Laplace's method is used for estimation based on the marginal likelihood. This is numerically simple and fast and provides satisfactory results quickly. We also extend the idea to spatial smoothing and smoothing in the presence of non normal response.

Disciplines
Citation Information
Tatyana Krivobokova, Ciprian M. Crainiceanu and Goran Kauermann. "FAST ADAPTIVE PENALIZED SPLINES" (2007)
Available at: http://works.bepress.com/ciprian_crainiceanu/18/