L1-optimal linear programming estimatorfor periodic frontier functions   with Holder continuous derivative
  We propose a new estimator based on a linear programming method for smooth frontiers of sample points. The derivative of the frontier function is supposed to be Holder continuous.The estimator is defined as a linear combination of kernel functions being sufficiently regular, covering all the points and whose associated support is of smallest surface. The coefficients of the linear combination are computed by solving a linear programming problem. The L1- error between the estimated and the true frontier functionsis shown to be almost surely converging to zero, and the rate of convergence is proved to be optimal. 
Alexander Nazin (ICS), Stephane Girard (INRIA Grenoble Rh\^one-Alpes /   LJK Laboratoire Jean Kuntzmann)
math.ST stat.TH