The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Smoothing Counting Process Intensities by Means of Kernel Functions
Open accessAbstract
The kernel function method developed during the last twenty-five years to estimate a probability density function essentially is a way of smoothing the empirical distribution function. This paper shows how one can generalize this method to estimate counting process intensities using kernel functions to smooth the nonparametric Nelson estimator for the cumulative intensity. The properties of the estimator for the intensity itself are investigated, and uniform consistency and asymptotic normality are proved. We also give an illustrative numerical example.
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
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
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
Cox’s regression model for counting processes: A large sample study
Andersen, P. K., & Gill, R. D. (1982) · The Annals of Statistics · doi:10.1214/aos/1176345976 · Cited by 4,419
Covariance Analysis of Censored Survival Data
Breslow, N. (1974) · Biometrics · doi:10.2307/2529620 · Cited by 1,763
Nonparametric Inference for a Family of Counting Processes
Aalen, O. (1978) · The Annals of Statistics · doi:10.1214/aos/1176344247 · Cited by 1,483
Empirical Choice of Histograms and Kernel Density Estimators
Rudemo, M. (1982) · Cited by 719
Censoring and Stochastic Integrals
Gill, R. D. (1980) · Statistica Neerlandica · doi:10.1111/j.1467-9574.1980.tb00692.x · Cited by 646
Theory and Applications of Hazard Plotting for Censored Failure Data
Nelson, W. (2000) · Technometrics · doi:10.2307/1271428 · Cited by 556
WATSON, G. S., & LEADBETTER, M. R. (1964) · Biometrika · doi:10.1093/biomet/51.1-2.175 · Cited by 212
Cited by
Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence
Singer, J. D., & Willett, J. B. (2003) · doi:10.1093/acprof:oso/9780195152968.001.0001 · Cited by 10,647
A Class of $K$-Sample Tests for Comparing the Cumulative Incidence of a Competing Risk
Gray, R. J. (1988) · The Annals of Statistics · doi:10.1214/aos/1176350951 · Cited by 4,960
Epidemiology of severe hypoglycemia in the diabetes control and complications trial
(1991) · The American Journal of Medicine · doi:10.1016/0002-9343(91)80085-z · Cited by 807
Pepe, M. S., & Mori, M. (1993) · Statistics in Medicine · doi:10.1002/sim.4780120803 · Cited by 620
Age-Specific Incidence and Prevalence: A Statistical Perspective
Keiding, N. (1991) · Journal of the Royal Statistical Society. Series A (Statistics in Society) · doi:10.2307/2983150 · Cited by 401
Metadata
- Authors
- Ramlau-Hansen, H.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1983-06-01
- Volume
- 11
- Issue
- 2
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2071216735
- Cited by
- 506
- References
- 9
- FWCI
- 9.74
- Type
- journal article
- Language
- en
- Open access
- bronze
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: Smoothing Counting Process Intensities by Means of Kernel Functions. https://app.cochat.ai/papers/10.1214/aos/1176346152
- The paper
- Ramlau-Hansen, H. (1983). Smoothing Counting Process Intensities by Means of Kernel Functions. The Annals of Statistics. https://doi.org/10.1214/aos/1176346152
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.