Statistical inference for survival analysis and related topics under censoring and truncation

Abstract

In this investigation, point estimation, confidence regions, and testing statistical hypotheses for various functions of interest are considered. The inference is carried out for the survival function, hazard function and its derivatives, cumulative hazard function and the pth quantile. Different, but most commonly occurring, censoring and truncation schemes are chosen. Besides, useful central limit theory results and their rates of convergence, qualitative properties of the underlying estimators are discussed. Wherever possible the means and variances of the estimators are given. Some open problems are also briefly mentioned.