The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Asymptotic Theory for the Frailty Model
Open accessAbstract
The frailty model is a generalization of Cox's proportional hazards model which includes a random effect. Nielsen, Gill, Andersen and Sorensen (1992) proposed an EM algorithm to estimate the cumulative baseline hazard and the variance of the random effect. Here the asymptotic distribution of the estimators is given along with a consistent estimator of the asymptotic variance.
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
Rudin, W. (1973) · Cited by 13,740
Weak Convergence and Empirical Processes
van der Vaart, A. W., & Wellner, J. A. (1996) · Springer Series in Statistics · doi:10.1007/978-1-4757-2545-2 · Cited by 5,014
Statistical Models Based on Counting Processes
Bry, X., Andersen, P. K., Borgan, Ø., Gill, R. D., Keiding, N., & Borgan, O. (1997) · Population (French Edition) · doi:10.2307/1534625 · Cited by 2,884
Heckman, J., & Singer, B. (1984) · Econometrica · doi:10.2307/1911491 · Cited by 2,788
Convergence of Stochastic Processes.
Robinson, P. M., & Pollard, D. (1985) · Economica · doi:10.2307/2553898 · Cited by 2,184
The impact of heterogeneity in individual frailty on the dynamics of mortality
Vaupel, J. W., Manton, K. G., & Stallard, E. (1979) · Demography · doi:10.2307/2061224 · Cited by 1,932
Brémaud, P. (1981) · Springer Series in Statistics · doi:10.1007/978-1-4684-9477-8 · Cited by 1,652
Empirical Processes: Theory and Applications
Pollard, D. (1990) · Project Euclid (Cornell University) · Cited by 710
A counting process approach to maximum likelihood estimation in frailty models
Nielsen, G. G., Gill, R. D., Andersen, P. K., & Sørensen, T. I. A. (1992) · Research at the University of Copenhagen (University of Copenhagen) · Cited by 538
Heterogeneity in survival analysis
Aalen, O. O. (1988) · Statistics in Medicine · doi:10.1002/sim.4780071105 · Cited by 366
Cited by
Murphy, S. A., & Van Der Vaart, A. W. (2000) · Journal of the American Statistical Association · doi:10.1080/01621459.2000.10474219 · Cited by 712
Self-citationFrailty Models in Survival Analysis
Wienke, A. (2010) · Chapman & Hall/CRC eBooks · doi:10.1201/9781420073911 · Cited by 454
Shared Frailty Models for Recurrent Events and a Terminal Event
Liu, L., Wolfe, R. A., & Huang, X. (2004) · Biometrics · doi:10.1111/j.0006-341x.2004.00225.x · Cited by 342
Asymptotic theory for the correlated gamma-frailty model
Parner, E. (1998) · The Annals of Statistics · doi:10.1214/aos/1030563982 · Cited by 269
Metadata
- Authors
- Murphy, S. A.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1995-02-01
- Volume
- 23
- Issue
- 1
- Pages
- 182-198
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2067641326
- Cited by
- 272
- References
- 14
- FWCI
- 7.38
- 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: Asymptotic Theory for the Frailty Model. https://app.cochat.ai/papers/10.1214/aos/1176324462
- The paper
- Murphy, S. A. (1995). Asymptotic Theory for the Frailty Model. The Annals of Statistics. https://doi.org/10.1214/aos/1176324462
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.