The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines
Open accessAbstract
Abstract : The report presents classes of prior distributions for which the Bayes' estimate of an unknown function given certain observations is a spline function. (Author)
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Citations
Cites
Aronszajn, N. (1950) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1950-0051437-7 · Cited by 5,380
The Theory of Splines and Their Applications
(1967) · Mathematics in Science and Engineering · doi:10.1016/s0076-5392(08)x6115-6 · Cited by 1,836
An Approach to Time Series Analysis
Parzen, E. (1961) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177704840 · Cited by 379
On linear statistical problems in stochastic processes
Hájek, J. (1962) · Czechoslovak Mathematical Journal · doi:10.21136/cmj.1962.100528 · Cited by 109
Cited by
Bayesian Measures of Model Complexity and Fit
Spiegelhalter, D. J., Best, N. G., Carlin, B. P., & Van Der Linde, A. (2002) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/1467-9868.00353 · Cited by 151
Physics-informed machine learning
Karniadakis, G. E., Kevrekidis, I. G., Lu, L., Perdikaris, P., Wang, S., & Yang, L. (2021) · Nature Reviews Physics · doi:10.1038/s42254-021-00314-5 · Cited by 8,718
Bayesian calibration of computer models
Kennedy, M. C., & O'Hagan, A. (2001) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/1467-9868.00294 · Cited by 4,222
Craven, P., & Wahba, G. (1978) · Numerische Mathematik · doi:10.1007/bf01404567 · Cited by 3,388
Self-citationDataset Shift in Machine Learning
(2008) · doi:10.7551/mitpress/9780262170055.001.0001 · Cited by 1,553
Metadata
- Authors
- Kimeldorf, G. S., & Wahba, G.
- Venue
- The Annals of Mathematical Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1970-04
- Volume
- 41
- Issue
- 2
- Pages
- 495-502
- ISSN
- 0003-4851 (ISSN-L)
- OpenAlex
- W2002355073
- Cited by
- 939
- References
- 4
- FWCI
- 7.16
- Type
- journal article
- Language
- en
- Open access
- diamond
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- Kimeldorf, G. S., & Wahba, G. (1970). A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines. The Annals of Mathematical Statistics. https://doi.org/10.1214/aoms/1177697089
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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.