Abstract
M.Sc. (Mathematical Statistics)
Comparison of two distributions via use of the quantile comparison function is carried
out specifically from possibly censored data. A semi-parametric method which
assumes linearity of the quantile comparison function is examined thoroughly for
non-censored data and then extended to incorporate censored data. A fully nonparametric
method to construct confidence bands for the quantile comparison function
is set out. The performance of all methods examined is tested using Monte Carlo
Simulation.