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                                       Details for article 10 of 21 found articles
 
 
  Fitting smoothing splines to data from multiple sources
 
 
Title: Fitting smoothing splines to data from multiple sources
Author: Gao, Feng
Appeared in: Communications in statistics
Paging: Volume 23 (1994) nr. 6 pages 1665-1698
Year: 1994
Contents: The problem of using the “direct” variational methods in a statistical model that merges data from different sources with unknown relative weightys is condiered. to carry our this merging optimally, it is necessary to provide an estimate of the relative weights to be given to data from different sources. A new form of generalized cross validation(GCV) estimate for simultaneously estimating the weighting parameters and the smoothing parameters is developed here. we name this estimate GCV-r where r represents the weighting parameter. we study the properties of the GCV-r estimators as well as the properties of the generalized maximum likelihood (GML-r) estimators proposed in wahba, Johnson and Reames (1990). We prove the weak consistency and the asymptotic normality of all these estimators under a stochastic model. The convergence rates for these estimators are obtained under some conditions. some simulation studies are caried out both to confirm the theoretical results and to compare different methods under different situations. The simulation results show good agreement with the theoretical results. The simulation results also show that the GCV-r is better than the GML-r in estimating the underlying smooth function when the model is misspecified.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 10 of 21 found articles
 
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