Bayesian Local Extremum Splines

WHEELER, M. W.; DUNSON, D. B.; HERRING, A. H.

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Bayesian Local Extremum Splines

Published Date:

Dec 2017

Source:

Biometrika. 104(4):939-952.

Language:

English

[PDF-912.59 KB]

Details:

Alternative Title:

Biometrika

Personal Author:

WHEELER, M. W. ; DUNSON, D. B. ; HERRING, A. H. ;

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:

[+]

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:

[+]

File Type:

Supporting Files:

	NIHMS926672-supplement-Supplemental.pdf	application/pdf
	nihms926672.nxml	text/xml
	nihms926672f1.gif	image/gif
	nihms926672f1.jpg	image/jpeg
	nihms926672f2.gif	image/gif
	nihms926672f2.jpg	image/jpeg

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Bayesian Local Extremum Splines

Bayesian Local Extremum Splines

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