Details:

Alternative Title:
Biometrika
Personal Author:
WHEELER, M. W. ; DUNSON, D. B. ; HERRING, A. H. ;
WHEELER, M. W. ; DUNSON, D. B. ; HERRING, A. H. ; Less -
Description:
We consider shape restricted nonparametric regression on a closed set [Formula: see text], where it is reasonable to assume the function has no more than | local extrema interior to [Formula: see text]. Following a Bayesian approach we develop a nonparametric prior over a novel class of local extremum splines. This approach is shown to be consistent when modeling any continuously differentiable function within the class considered, and is used to develop methods for testing hypotheses on the shape of the curve. Sampling algorithms are developed, and the method is applied in simulation studies and data examples where the shape of the curve is of interest.
Subject:
[+]
Article
Constrained Function Estimation
Isotonic Regression
Monotone Splines
Nonparametric
Shape Constraint

Source:
Biometrika. 104(4):939-952. ;
Pubmed ID:
29422695
Pubmed Central ID:
PMC5798493
Document Type:
Journal Article ;
Funding:
CC999999/Intramural CDC HHS/United States ;
Collection(s):
CDC Public Access
Main Document Checksum:
[+]
urn:sha256:de34ecb28763010eade3ccd488a3f7d486b648a54a4cd1b46b37f58cf052af81
File Type:

Supporting Files

• 	NIHMS926672-supplement-Supplemental.pdf	pdf
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  	nihms926672f1.gif	gif
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