Abstract
This article delves into a parametric survival model tailored for scenarios where the studied population encompasses long-term survivors or individuals with immunity. We initially conceptualized the cure rate model as a mixture model, which included a segment that represented the proportion of immune individuals and a distribution that characterized the lifetimes of susceptible individuals. Our contribution lies in proposing a cure rate model grounded in the Weibull-Geometric Distribution, adept at integrating the influences of risk factors or covariates on the likelihood of an individual becoming a long-term survivor. Cure rate models serve as powerful tools for modeling time-to-event dynamics across diverse contexts. Different methods of estimation are used to estimate the unknown parameters in complete and censored random samples.
Published Version
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