Kernel spatial density estimation in infinite dimension space - Archive ouverte HAL Access content directly
Journal Articles Metrika Year : 2013

Kernel spatial density estimation in infinite dimension space

Abstract

In this paper, we propose a nonparametric method to estimate the spatial density of a functional stationary random field. This latter is with values in some infinite dimensional normed space and admitted a density with respect to some reference measure. We study both the weak and strong consistencies of the considered estimator and also give some rates of convergence. Special attention is paid to the links between the probabilities of small balls and the rates of convergence of the estimator. The practical use and the behavior of the estimator are illustrated through some simulations and a real data application. Copyright Springer-Verlag 2013
No file

Dates and versions

hal-00958113 , version 1 (11-03-2014)

Identifiers

  • HAL Id : hal-00958113 , version 1

Cite

Sophie Dabo-Niang, Anne-Françoise Yao. Kernel spatial density estimation in infinite dimension space. Metrika, 2013, 76 (1), pp.19--52. ⟨hal-00958113⟩

Collections

UNIV-LILLE3 INSMI
55 View
0 Download

Share

Gmail Facebook Twitter LinkedIn More