Resumen de Limit Theory in Monotone Function Estimation

Cécile Durot, Hendrik P. Lopuhaä

• We give an overview of the different concepts and methods that are commonly used when studying the asymptotic properties of isotonic estimators.

  After introducing the inverse process, we illustrate its use in establishing weak convergence of the estimators at a fixed point and also weak convergence of global distances, such as the Lp-distance and supremum distance.

  Furthermore, we discuss the developments on smooth isotonic estimation.