A decompositional, parametric approach consisting of one or more overlapping "phases" additive in hazard (competing risks). A generic functional form is utilized for the phases that can be simplified into a large number of hierarchically nested forms. Each phase is scaled by a log-linear function of concomitant information. This allows the model to be non-proportional in hazards, an assumption often made, but often unrealistic. The hazard model has been enriched in 3 ways. Because the intervals may not be known completely (incomplete, censored data), right censoring, left censoring, and interval censoring has been incorporated into the procedure. Second, the events considered may be repeating. Third, the event may be weighted on a positive scale (such as cost). Thus, the procedure, at its most complex, can accommodate time-related repeating cost data, with time-varying covariables, and a non-proportional hazard structure.
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