Asymptotic results for fitting semiparametric transformation models to failure time data from case-cohort studies

Semiparametric transformation models are considered for failure time data from case-cohort studies, where the covariates are assembled only for a ran-domly selected subcohort from the entire cohort and additional cases outside the subcohort. We present the estimating procedures for the regression parameters and survival probability. The asymptotic properties of the resulting estimators are developed based on asymptotic results for U-statistics, martingales, stochastic processes and finite population sampling