The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Automatic Bayesian Curve Fitting
Open accessAbstract
Summary: A method of estimating a variety of curves by a sequence of piecewise polynomials is proposed, motivated by a Bayesian model and an appropriate summary of the resulting posterior distribution. A joint distribution is set up over both the number and the position of the knots defining the piecewise polynomials. Throughout we use reversible jump Markov chain Monte Carlo methods to compute the posteriors. The methodology has been successful in giving good estimates for ‘smooth’ functions (i.e. continuous and differentiable) as well as functions which are not differentiable, and perhaps not even continuous, at a finite number of points. The methodology is extended to deal with generalized additive models.
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Citations
Cites
Sampling-based approaches to calculating marginal densities
Gelfand, A. E., & Smith, A. F. M. (1990) · Journal of the American Statistical Association · doi:10.1080/01621459.1990.10476213 · Cited by 6,606
Self-citation
Cited by
Parsimonious Bayesian Markov chain Monte Carlo inversion in a nonlinear geophysical problem
Malinverno, A. (2002) · Geophysical Journal International · doi:10.1046/j.1365-246x.2002.01847.x · Cited by 470
The Practical Implementation of Bayesian Model Selection
Chipman, H., George, E. I., & McCulloch, R. E. (2001) · Institute of Mathematical Statistics Lecture Notes - Monograph Series · doi:10.1214/lnms/1215540964 · Cited by 416
Generalized structured additive regression based on Bayesian P-splines
Brezger, A., & Lang, S. (2006) · Computational Statistics & Data Analysis · doi:10.1016/j.csda.2004.10.011 · Cited by 371
Daniels, M. J. (2000) · American Journal of Epidemiology · doi:10.1093/aje/152.5.397 · Cited by 348
Air Pollution and Mortality: Estimating Regional and National Dose-Response Relationships
Dominici, F., Daniels, M., Zeger, S. L., & Samet, J. M. (2002) · Journal of the American Statistical Association · doi:10.1198/016214502753479266 · Cited by 303
Metadata
- Authors
- Denison, D. G. T., Mallick, B. K., & Smith, A. F. M.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1998-07-01
- Volume
- 60
- Issue
- 2
- Pages
- 333-350
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W2128860595
- Cited by
- 394
- References
- 1
- FWCI
- 23.22
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Denison, D. G. T., Mallick, B. K., & Smith, A. F. M. (1998). Automatic Bayesian Curve Fitting. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/1467-9868.00128
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
