The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Non-parametric Roughness Penalty for Probability Densities
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
Messiah, A. (1961) · Cited by 16,012
On Estimation of a Probability Density Function and Mode
Parzen, E. (1962) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177704472 · Cited by 10,585
(1971) · Elsevier eBooks · doi:10.1016/c2013-0-02379-1 · Cited by 8,505
Methods of Mathematical Physics
Courant, R., & Hilbert, D. (1989) · Wiley eBooks · doi:10.1002/9783527617210 · Cited by 8,067
Jeffreys, H., Moran, P. A. P., & Chatfield, C. (1922) · Nature · doi:10.1093/oso/9780198503682.001.0001 · Cited by 7,878
Higher transcendental functions
Hammer, C. (1954) · Journal of the Franklin Institute · doi:10.1016/0016-0032(54)90080-0 · Cited by 6,211
Remarks on Some Nonparametric Estimates of a Density Function
Rosenblatt, M. (1956) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728190 · Cited by 4,547
Higher Transcendental Functions.
Truesdell, C., Bateman, H., Erdelyi, A., Magnus, W., Oberhettinger, F., & Tricomi, F. G. (1954) · The American Mathematical Monthly · doi:10.2307/2307622 · Cited by 4,393
Mathematical handbook for scientists and engineers
Korn, G. A. (1961) · Cited by 3,428
Cited by
Approximate Inference in Generalized Linear Mixed Models
Breslow, N. E., & Clayton, D. G. (1993) · Journal of the American Statistical Association · doi:10.1080/01621459.1993.10594284 · Cited by 4,629
Bayesian reconstructions from emission tomography data using a modified EM algorithm
Green, P. J. (1990) · IEEE Transactions on Medical Imaging · doi:10.1109/42.52985 · Cited by 1,241
Some aspects of the spline smoothing approach to non-parametric regression curve fitting
Silverman, B. W. (1985) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1985.tb01327.x · Cited by 1,117
ESTIMATING THE FORM OF NATURAL SELECTION ON A QUANTITATIVE TRAIT
Schluter, D. (1988) · Evolution · doi:10.1111/j.1558-5646.1988.tb02507.x · Cited by 770
Spline Smoothing: The Equivalent Variable Kernel Method
Silverman, B. W. (1984) · The Annals of Statistics · doi:10.1214/aos/1176346710 · Cited by 441
Metadata
- Authors
- GOOD, I. J.
- Venue
- Nature Physical Science
- Published
- 1971-01
- Volume
- 229
- Issue
- 1
- Pages
- 29-30
- ISSN
- 0300-8746 (ISSN-L)
- 2058-1106
- OpenAlex
- W2033135151
- Cited by
- 411
- References
- 28
- FWCI
- 4.79
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Non-parametric Roughness Penalty for Probability Densities. https://app.cochat.ai/papers/10.1038/physci229029a0
- The paper
- GOOD, I. J. (1971). Non-parametric Roughness Penalty for Probability Densities. Nature Physical Science. https://doi.org/10.1038/physci229029a0
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
