TY - JOUR AU1 - Davies, Laurie AU2 - Gather, Ursula AB - Abstract One approach to identifying outliers is to assume that the outliers have a different distribution from the remaining observations. In this article we define outliers in terms of their position relative to the model for the good observations. The outlier identification problem is then the problem of identifying those observations that lie in a so-called outlier region. Methods based on robust statistics and outward testing are shown to have the highest possible breakdown points in a sense derived from Donoho and Huber. But a more detailed analysis shows that methods based on robust statistics perform better with respect to worst-case behavior. A concrete outlier identifier based on a suggestion of Hampel is given. TI - The Identification of Multiple Outliers JF - Journal of the American Statistical Association DO - 10.1080/01621459.1993.10476339 DA - 1993-09-01 UR - https://www.deepdyve.com/lp/taylor-francis/the-identification-of-multiple-outliers-y25TspA2lD SP - 782 EP - 792 VL - 88 IS - 423 DP - DeepDyve ER -