survival section

[adibender]

• Discuss note at the beginning that warns about specifying task correctly (maybe even use specific example (e.g. Distribution estimate before/after left-truncation adjustment
• check for sources for type III censoring in literature, otherwise remove
• Add section/paragraph/table with all different common terms in survival, e.g. independent & uninformative censoring, Type I-III, etc.
• Discuss independence in case of Type I, Type II censoring
• Add note/paragraph that some survival tasks can be simplified
  • interval-censoring -> ignore after coarsening of data
• Visualization and more explanation on left-truncation (Survival Analysis #27 (comment))
• Discuss right-truncation (Survival Analysis #27 (comment))
• Where to place definition of Kaplan-Meier (maybe introduce non-technically first and more detailed later). It will be helpful to have it early for illustrations of various concepts -> introduce KM and NA before 4.1.3
• Discuss Survival Analysis #27 (comment) -> remove table, explain in words
• check if limit notation for hazard necessary, otherwise remove. If yes, use in the very beginning.
• elaborate on differences between CIF and CDF and explain more the idea of CIF, that overall survival depends on hazard/probability of both causes.
• Disscuss wedge vs. cap (Survival Analysis #27 (comment)) -> Final notation / style guide #33 (comment)
• move details about cause specific (reduction) approach from CR section?
• fix Survival Analysis #27 (comment)
• Think about where to put:
  • E = \int F
  • discuss reductions (i.e. from F -> E), etc.
  • impropriety of empirical CDFs
  • extrapolation
  • restricted mean survival time
• Update right-truncation, maybe add example + illustration (using product limit estimator) or the \tau - rt time approach