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Weighted Least Squares Estimation for Aalen's Additive Risk Model
Abstract
Cox's proportional hazards model has so far been the most popular model for the regression analysis of censored survival data. However, the additive risk model of Aalen can provide a useful and biologically more plausible alternative. Aalen's model stipulates that the conditional hazard function for a subject, whose covariates are Y = (Y 1, …, Yp )', has the form h(t | Y) = Y' α(t), where α = (α 1, …, αp )' is an unknown vector of hazard functions. This article discusses inference for α based on a weighted least squares (WLS) estimator of the vector of cumulative hazard functions. The asymptotic distribution of the WLS estimator is derived and used to obtain confidence intervals and bands for the cumulative hazard functions. Both a grouped data and a continuous data version of the estimator are examined. An extensive simulation study is carried out. The method is applied to grouped data on the incidence of cancer mortality among Japanese atomic bomb survivors.
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Cited by
Semiparametric analysis of the additive risk model
LIN, D. Y., & YING, Z. (1994) · Biometrika · doi:10.1093/biomet/81.1.61 · Cited by 656
Pezzi, A., Cavo, M., Biggeri, A., Zamagni, E., & Nanni, O. (2016) · BMC Medical Research Methodology · doi:10.1186/s12874-016-0253-9 · Cited by 41
Metadata
- Authors
- Huffer, F. W., & McKeague, I. W.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1991-03
- Volume
- 86
- Issue
- 413
- Pages
- 114-129
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2003695698
- Cited by
- 171
- References
- 0
- FWCI
- 3.56
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Weighted Least Squares Estimation for Aalen's Additive Risk Model. https://app.cochat.ai/papers/10.1080/01621459.1991.10475010
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- Huffer, F. W., & McKeague, I. W. (1991). Weighted Least Squares Estimation for Aalen's Additive Risk Model. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1991.10475010
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