Title: Robust Estimation of Change-Point Location,
Abstract: We introduce a robust estimator of the location parameter for the
change-point in the mean based on the Wilcoxon statistic and establish its
consistency for $L_1$ near epoch dependent processes. It is shown that the
consistency rate depends on the magnitude of change. A simulation study is
performed to evaluate finite sample properties of the Wilcoxon-type estimator
in standard cases, as well as under heavy-tailed distributions and disturbances
by outliers, and to compare it with a CUSUM-type estimator. It shows that the
Wilcoxon-type estimator is equivalent to the CUSUM-type estimator in standard
cases, but outperforms the CUSUM-type estimator in presence of heavy tails or
outliers in the data.