Displaying similar documents to “Multidimensional limit theorems for smoothed extreme value estimates of point processes boundaries”

Some remarks on I -faster convergent infinite series

Ladislav Matejíčka (2009)

Mathematica Bohemica

Similarity:

A structure of terms of I -faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of I -faster convergent series with different types of their terms are proved. Some consequences are discussed.

Density estimation for one-dimensional dynamical systems

Clémentine Prieur (2001)

ESAIM: Probability and Statistics

Similarity:

In this paper we prove a Central Limit Theorem for standard kernel estimates of the invariant density of one-dimensional dynamical systems. The two main steps of the proof of this theorem are the following: the study of rate of convergence for the variance of the estimator and a variation on the Lindeberg–Rio method. We also give an extension in the case of weakly dependent sequences in a sense introduced by Doukhan and Louhichi.