Bayesian Local Extremum Splines

Details

• Personal Author:
  Dunson DB ; Herring AH ; Wheeler, Matthew W.
• Description:
  We consider shape-restricted nonparametric regression on a closed set X CR, where it is reasonable to assume that the function has no more than H local extrema interior to X. 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 modelling any continuously differentiable function within the class considered, and we use it 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. [Description provided by NIOSH]
• Subjects:
  Occupational Health Safety
• Keywords:
  Author Keywords: Constrained Function Estimation Isotonic Regression Monotone Splines Nonparametric Regression Shape Constraint Statistical Analyis
• ISSN:
  0006-3444
• Document Type:
  Text
• Genre:
  Journal Article
• Place as Subject:
  North Carolina ; Ohio ; OSHA Region 4 ; OSHA Region 5
• CIO:
  National Institute for Occupational Safety and Health (NIOSH)
• Division:
  EID - Education and Information Division
• Topic:
  Workplace Safety & Health
• Location:
  North America
• Volume:
  104
• Issue:
  4
• NIOSHTIC Number:
  nn:20050781
• Citation:
  Biometrika 2017 Dec; 104(4):939-952
• Contact Point Address:
  M.W. Wheeler, National Institute for Occupational Safety and Health, 1150 Tusculum Avenue, MS C-15, Cincinnati, Ohio 45226
• Email:
  mwheeler@cdc.gov
• Federal Fiscal Year:
  2018
• Peer Reviewed:
  False
• Source Full Name:
  Biometrika
• Collection(s):
  National Institute for Occupational Safety and Health
• Main Document Checksum:
  urn:sha-512:5c125631c8e6f65069655d4cfcb4e1f8b151656fb24a5c232a408aeef0316c5efe99cab53d728cc8c22dbbe6b8905b77d0421e53c15aa8d413e9d418b4c636dc
• Download URL:
  https://stacks.cdc.gov/view/cdc/210998/cdc_210998_DS1.pdf
• File Type:
  [PDF - 270.38 KB ]