FAST ADAPTIVE PENALIZED SPLINESJohns Hopkins University, Dept. of Biostatistics Working Papers
Date of this Version3-29-2007
AbstractThis 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.
Citation InformationTatyana Krivobokova, Ciprian M. Crainiceanu and Goran Kauermann. "FAST ADAPTIVE PENALIZED SPLINES" (2007)
Available at: http://works.bepress.com/ciprian_crainiceanu/18/