Abstract
We consider a log-linear model for survival data, where both the location and scale parameters depend on covariates, and the baseline hazard function is completely unspecified. This model provides the flexibility needed to capture many interesting features of survival data at a relatively low cost in model complexity. Estimation procedures are developed, and asymptotic properties of the resulting estimators are derived using empirical process theory. Finally, a resampling procedure is developed to estimate the limiting variances of the estimators. The finite sample properties of the estimators are investigated by way of a simulation study, and a practical application to lung cancer data is illustrated.
| Original language | English |
|---|---|
| Pages (from-to) | 555-571 |
| Number of pages | 17 |
| Journal | Scandinavian Journal of Statistics |
| Volume | 47 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Jun 2020 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 3 Good Health and Well-being
Keywords
- counting processes
- empirical processes
- log-linear failure time model
- multiparameter regression
- semiparametric regression
- survival data
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