Resumen de Empirical Depth Processes.

Miguel A. Arcones, Hengjian Cui, Yijun Zou

• We consider the asymptotics of two depth processes, the projection depth process and certain generalizations of the Tukey halfspace depth process, and give natural conditions for the uniform convergence of these processes over certain subsets of IRd. In general, these processes do not converge uniformly over IRd.