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Semiparametric multiparameter regression survival modeling
Authors:Kevin Burke  Frank Eriksson  C B Pipper
Institution:1. Department of Mathematics and Statistics, University of Limerick;2. Section of Biostatistics, University of Copenhagen;3. LEO Pharma A/S, Ballerup
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.
Keywords:counting processes  empirical processes  log-linear failure time model  multiparameter regression  semiparametric regression  survival data
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