Automatic bayesian curve fitting

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 60, Issue 2, 1998, Pages 333-350

  Denison, D G T ^a   Mallick, B K ^a   Smith, A F M ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Additive models; Back fitting algorithm; Least squares regression; Piecewise polynomials; Reversible jump markov chain monte carlo method; Splines

Indexed keywords

EID: 18244368726     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00128     Document Type: Article

References (13)

1. de Boor, C. (1978) A Practical Guide to Splines. New York: Springer.
2. Donoho, D. L. and Johnstone, I. M. (1994) Ideal spatial adaptation by wavelet shrinkage. Biometrika, 81, 425-455.
3. Donoho, D. L., Johnstone, I. M., Kerkyacharian, K. and Picard, D. (1995) Wavelet shrinkage: asymptopia (with discussion)? J. R. Statist. Soc. B, 57, 301-369.
4. Fan, J. and Gijbels, I. (1995) Data-driven bandwidth selection in local polynomial fitting: variable bandwidth and spatial adaptation. J. R. Statist. Soc. B, 57, 371-394.
5. Friedman, J. H. (1991) Multivariate adaptive regression splines. Ann. Statist., 19, 1-141.
6. Friedman, J. H. and Silverman, B. W. (1989) Flexible parsimonious smoothing and additive modelling (with discussion). Technometrics, 31, 3-39.
7. Friedman, J. H. and Stuetzle, W. (1981) Projection pursuit regression. J. Am. Statist. Ass., 76, 817-823.
8. Gelfand, A. E. and Smith, A. F. M (1990) Sampling-based approaches to calculating marginal densities. J. Am. Statist. Ass., 85, 398-409.
9. Green, P. J. (1995) Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika, 82, 711-732.
10. Hastie, T. J. and Tibshirani, R. J. (1990) Generalized Additive Models. London: Chapman and Hall.
11. Müller, H.-G. and Stadtmüller, U. (1987) Variable bandwidth kernel estimators of regression curves. Ann. Statist., 15, 182-201.
12. Smith, P. L. (1982) Curve fitting and modeling with splines using statistical variable selection techniques. Report NASA 166034. Langley Research Center, Hampton.
13. Tierney, L. (1994) Markov chains for exploring posterior distributions (with discussion). Ann Statist., 22, 1701-1762.