We apply the univariate sliced inverse regression to survival data. Our approach is different from the other papers on this subject. The right-censored observations are taken into account during the slicing of the survival times by assigning each of them with equal weight to all of the slices...

The paper discusses regression estimators with optimal finite sample performance under a Cauchy or a Cauchy-like error distribution. It is shown that such estimators have an exact fit point of 50%. Estimators that are optimal under a Gaussian as well as a Cauchy-like error law are also discussed.