A Two‐Step Regression Model for Hazard Functions

J. A. Anderson and A. Senthilselvan

Journal of the Royal Statistical Society Series C, 1982, vol. 31, issue 1, 44-51

Abstract: The regression model for proportional hazards (Cox, 1972) is extended to allow (approximately) for time‐varying covariate coefficients. This is particularly appropriate for cancer mortality studies where the effect of a covariate measured at one point of time decays as time progresses. A smoothed hazard function estimate for this extended model is derived using penalized maximum likelihood. A case‐history is given concerned with recurrence of carcinoma of the vulva. The basic model does not fit very well, but the extended model fits well.

Date: 1982
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