Van Aelst, Stefan; Rousseeuw, Peter J. - In: Journal of Multivariate Analysis 73 (2000) 1, pp. 82-106
In this paper we investigate the robustness properties of the deepest regression, a method for linear regression introduced by Rousseeuw and Hubert [6]. We show that the deepest regression functional is Fisher-consistent for the conditional median, and has a breakdown value of in all dimensions....