The DOI matches its Crossref record.
Functional Data Analysis
Abstract
When either data or the models for them involve functions, and when only weak assumptions about these functions such as smoothness are permitted, familiar statistical methods must be modified and new approaches developed in order to take advantage of this smoothness. The first part of the article considers some general issues such as characteristics of functional data, uses of derivatives in functional modelling, estimation of phase variation by the alignment or registration of curve features, the nature of error, and so forth. The second section describes functional versions of traditional methods such principal components analysis and linear modelling, and also mentions purely functional approaches that involve working with and estimating differential equations in the functional data analysis process.
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
No references could be resolved yet.
Research works printed but not linked: 10
- 10.1007/b97589 · DOI
- Hastie T., 1993, Journal of the Royal Statistical Society, 757
- Heckman N., 2000, Canadian Journal of Statistics, 241
- Fan J., 1996, Local Polynomial Modeling and Its Application—Theory and Methodologies
- 10.1007/978-1-4757-7107-7 · DOI · Paper page
- Ramsay J. O., 2000, Canadian Journal of Statistics, 225
- Ramsay J.O., 1991, Journal of the Royal Statistical Society, Series B, 539
- 10.1007/b98886 · DOI · Paper page
- Ramsay T., 2002, Journal of the Royal Statistical Society, Series B, 307
- 10.2307/1427576 · doi:10.2307/1427576 · Paper page
Cited by
Principal component analysis: A review and recent developments
Jolliffe, I. T., & Cadima, J. (2016) · Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rsta.2015.0202 · Cited by 10,117
Attention to eyes is present but in decline in 2–6-month-old infants later diagnosed with autism
Jones, W., & Klin, A. (2013) · Nature · doi:10.1038/nature12715 · Cited by 1,293
Health behavior models in the age of mobile interventions: are our theories up to the task?
Riley, W. T., Rivera, D. E., Atienza, A. A., Nilsen, W., Allison, S. M., & Mermelstein, R. (2011) · Translational Behavioral Medicine · doi:10.1007/s13142-011-0021-7 · Cited by 978
Siegle, G. J., Thompson, W., Carter, C. S., Steinhauer, S. R., & Thase, M. E. (2007) · Biological Psychiatry · doi:10.1016/j.biopsych.2006.05.048 · Cited by 857
Parameter estimation for differential equations: a generalized smoothing approach
Ramsay, J. O., Hooker, G., Campbell, D., & Cao, J. (2007) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.1467-9868.2007.00610.x · Cited by 613
Self-citation
Metadata
- Authors
- Ramsay, J. O.
- Venue
- Encyclopedia of Statistical Sciences
- Publisher
- Wiley
- Published
- 2005-12
- OpenAlex
- W3021971632
- Cited by
- 2,830
- References
- 0
- Type
- reference entry
- Language
- en
- Open access
- closed
- Licence
- doi.wiley.com/10.1002/tdm_license_1.1 (tdm)
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: Functional Data Analysis. https://app.cochat.ai/papers/10.1002/0471667196.ess3138
- The paper
- Ramsay, J. O. (2005). Functional Data Analysis. Encyclopedia of Statistical Sciences. https://doi.org/10.1002/0471667196.ess3138
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.
