fit_bd_cure: Fit Beta-Danish Cure Models
In BetaDanish: The Beta-Danish Distribution for Lifetime Data Analysis

fit_bd_cure

R Documentation

Fit Beta-Danish Cure Models

Description

Fits mixture and promotion-time (non-mixture) cure models using the Beta-Danish AFT baseline.

Usage

fit_bd_cure(
  formula_aft,
  formula_cure,
  data,
  type = c("mixture", "promotion"),
  n_starts = 10,
  method = "BFGS"
)

Arguments

`formula_aft`	A formula for the latency component (e.g., 'Surv(time, status) ~ age').
`formula_cure`	A one-sided formula for the incidence/cure component (e.g., '~ treatment').
`data`	A data frame containing the variables.
`type`	Character; either '"mixture"' or '"promotion"'.
`n_starts`	Integer; number of random starts for optimization.
`method`	Optimization method passed to 'maxLik'.

Details

In the **mixture** model, the population is split into susceptible and cured fractions. The susceptible probability is modeled via logistic regression: 'pi = exp(Z

In the **promotion-time** (non-mixture) model, the cure fraction is derived from a latent Poisson process of clonogenic cells: 'theta = exp(Z The cure fraction is 'exp(-theta)'.