This week’s paper for journal club is short and has a nice figure:
Geng et al, Sampling-Based Approach to Determining Outcomes of Patients Lost to Follow-Up in Antiretroviral Therapy Scale-Up Programs in Africa
It looks like this corrected estimate is quite different than the uncorrected version!
I think the mathematics involved have an extended treatment in this work referenced by Geng et al: Addressing an idiosyncrasy in estimating survival curves using double-sampling in the presence of self-selected right censoring