SRCOS SESSION "Recent Advances in Outlier Detection" D. Rameriz & D. Scott, Organizers Title: "Outlier Detection by a Minimum Distance Criterion" David W. Scott Dept of Statistics Rice University The detection of outliers is closely linked to the problem of robust estimation. Minimum distance procedures have been shown to be inherently robust but have not been easy to apply to high-dimensional data. We have recently developed a minimum-distance estimation criterion based upon integrated squared error. In this paper, we investigate its utility as a robust estimator and as a preprocessor for determining outliers. We show that this approach extends the idea of fitting a mixture of normals to data, and then identifying as outliers those points in some of the small mixture components. Application to regression outlier detection is also considered.