Sandip Barui

We extend the unified class of Box-Cox transformation cure model (BCTM) to accommodate interval censored data. To capture the heterogeneity in the survival distribution of the uncured subjects, we use a proportional hazards (PH) structure. Furthermore, to avoid any theoretical distribution based parametric assumption we approximate the baseline hazard using piecewise linear functions.

1. Introduction Ordinary survival analysis techniques such as the proportional hazards (PH) model, the proportional odds (PO) model or the accelerated failure time (AFT) model are concerned with modeling censored time-to-event data by assuming that every subject in the study will encounter the primary event of interest (death, relapse, or recurrence of a disease, etc.).