Abstract

SUMMARY We explore a class of regression and generalized regression models in which the coefficients are allowed to vary as smooth functions of other variables. General algorithms are presented for estimating the models flexibly and some examples are given. This class of models ties together generalized additive models and dynamic generalized linear models into one common framework. When applied to the proportional hazards model for survival data, this approach provides a new way of modelling departures from the proportional hazards assumption.

Keywords

Class (philosophy)MathematicsGeneralized linear modelApplied mathematicsLinear regressionRegression analysisRegressionProportional hazards modelEconometricsStatisticsComputer scienceArtificial intelligence

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Publication Info

Year
1993
Type
article
Volume
55
Issue
4
Pages
757-779
Citations
1868
Access
Closed

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Trevor Hastie, Robert Tibshirani (1993). Varying-Coefficient Models. Journal of the Royal Statistical Society Series B (Statistical Methodology) , 55 (4) , 757-779. https://doi.org/10.1111/j.2517-6161.1993.tb01939.x

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DOI
10.1111/j.2517-6161.1993.tb01939.x