Programming the statistical procedures from SAS

Parametric proportional hazard

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Parametric proportional hazard


I'm conducting research on repeated events in teh framework of survival analysis and I'm interested in parametric hazard function rather than the default semi-parametric structures. In particular, I'm trying to estimate a parametric proportional hazard with time dependent covariates. I know pretty well the proc phreg option and other related procedures, however I couldn't find the right one for this model. 
I would appreciate any help and guldance in how or what should I use in order to be able to run this model. 
P.S I'm familiar with other programming/compuational (statistical and mathematical) softwares, so feel free to suggest any solution that you can think off.
Thank you in advance! 
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